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Turtur, C. (2010). The fundamental Principle of the Conversion of Zero-point-energy of the Vacuum. PHILICA.COM Article number 206.

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The fundamental Principle of the Conversion of Zero-point-energy of the Vacuum

Claus W. Turturconfirmed userThis person has donated to Philica (Fachbereich Elektrotechnik, University of Applied Sciences Braunschweig-Wolfenbuettel)

Published in physic.philica.com

Abstract
The mechanism of the conversion of zero-point-energy is now understood. This is the basis, on which zero-point-energy converters can be constructed systematically.
Nowadays the existence of the zero-point-energy of the vacuum is recognized in several disciplines within physics (as Astrophysics and Quantum Electrodynamics), and it is verified, that this energy can be converted into classical types of energy in the laboratory (Casimir-effect and others). Also the possibility of its utilization for practical energy-technology is proven in the laboratory.
After the zero-point-energy is made manifest now, the task arises to clarify the fundamental principles, which explain the conversion of this energy into any other (classical) type of energy, such as electrical or mechanical energy. These fundamental basics of Physics are now understood and described in the present article. Based on this theoretical fundament, the article explains, how the construction of zero-point-energy converters can be done systematicially for practical engineering. This is the first time, when a practical method for the systematic construction of zero-point-energy converters is presented. The article gives guidelines for the development of a dynamic Finite-Element-Algorithm (DFEM), which enables us to construct zero-point-energy converters systematically.
Simple models of zero-point-energy-converters can be developed with this method rather easy. More complex realistic engines require remarkable effort for computation.
The train of thoughts is rounded up by the explanation of some examples for consequences of the zero-point-energy and its conversion within everyday life, as for instance the existence of electric charge and the stability of atoms.

Article body

1. Zero-point-energy in several disciplines of Physics

According to our modern and generally accepted Standard-model of Astrophysics (see [Teg 02], [Rie 98], [Efs 02], [Ton 03], [Cel 07] and many others), our universe consists of
  - approx. 5 % well-known particles, visible matter, planets, creatures, black-holes,…
  - approx. 25…30 % invisible matter, such as unknown elementary-particles,
  - approx. 65…70 % zero-point-energy.

This statement is based on measurements of the accelerated expansion of the universe, which are based on the Doppler-shift of characteristic spectral lines of atoms in stellar and interstellar matter. However, from these measurement, the unsolved question arises, why the expansion of the universe is accelerating as function of time [Giu 00]. This experimental finding contradicts to the theoretical expectations of the Standard-model of Cosmology, according to which the expansion should slow down continuously as a function of time, because of Gravitation, which is an attractive interaction between all matter within our universe (visible matter as well as the invisible matter). And this attraction should decrease the velocity of the expansion of our universe. If we take the zero-point-energy of the vacuum into account, this question can also be solved rather easily, as we will see later in our article. (The background is the conversion of zero-point-energy into kinetic energy of the expansion of the universe.) Not only from this aspect we can see, why the disciplines of Astrophysics and Cosmology not only accept the zero-point-energy of the vacuum but they even demand its existence (see measuring-results mentioned above).

And also in microscopic physics, the zero-point-energy is accepted and claimed, as for instance in Quantum Theory. Richard Feynman needs it for Quantum Electro­dy­namics, namely by introducing vacuum-polarization into theory. (By the way: This was the theory, which brought the author of a preceding article to his work on the zero-point-energy of the vacuum.) Vacuum-polarization describes the fact, that spontaneous virtual pair production of particle-antiparticle-pairs occurs in the empty space (i.e. in the vacuum), which annihilate after a distinct amount of time and distance (see for instance [Fey 49a], [Fey 49b], [Fey 85], [Fey 97]). Of course, these particles and anti-particles have a real mass (such as for instance electrons and positrons, resulting from electron-positron pair-production). This means, that they contain energy according to the mass-energy-equivalence (E=mc2). Although this matter and antimatter disappears (annihilates) soon after its creation within the range of Heisenberg's uncertainty relation, it contains energy, for which there is no other source than the empty space, from which these particles and anti-particles are created. This means that the empty space contains energy, which we nowadays call zero-point-energy. (The notation “zero-point-energy” goes back to the knowledge of its origin, which we nowadays have). It is said that this energy “from the empty space” has to disappear within Heisenberg's uncertainty relation because of the law of energy conservation. But this does not contest the fact that this energy is existing – namely as zero-point-energy of the vacuum.

The energy of the empty space (vacuum-energy) should be paid more attention, and there is still much investigation to be done for its utilization. The knowledge about vacuum-polarization describes only a very small part of this vacuum-energy. Thus it is clear that vacuum-energy contains several components completely unknown up to now. Among all these components of vacuum-energy there is also this one, which we call zero-point-energy, and which describes the energy of the zero-point oscillations of the electromagnetic waves of the quantum-vacuum. This special part of the vacuum-energy has the following background:

From Quantum-theory we know, that a harmonic oscillator never comes to rest. Even in the ground-state it oscillates with the given energy of E=½?•ω (see  for instance [Mes 76/79], [Man 93]). This is one of the fundamental findings of Quantum-theory, which is of course valid also for electromagnetic waves. The consequence is that the quantum-vacuum is full of electromagnetic waves, by which we are permanently surrounded.

If this concept is sensible, it should be possible to verify the existence of these zero-point-waves, for instance by extracting some of their energy from the vacuum. If it would be different, Quantum-theory would be erroneous. But in reality Quantum-theory is correct and its conception is sensible. Historically the first verification for the extraction of zero-point-energy from the quantum-vacuum comes from the Casimir-effect. Hendrik Brugt Gerhard Casimir published his theoretical considerations in 1948, suggesting an experiment with two parallel metallic plates without any electrical charge. The energy of the electromagnetic zero-point-waves should cause an attractive force between those both plates, which he calculated quantitatively on the basis of the spectrum of these zero-point-waves [Cas 48]. Because of experimental reasons (the metallic plates have to be mounted very close to each other, and the force is very small), the experimental verification of his theory was very difficult ([Der 56], [Lif 56], [Spa 58]). Thus Casimir was not taken serious for a rather long time, although his verification of the zero-point-energy is not less than a test of quantum-theory at all. Only in 1997, this is nearly half a century after Casimir’s theoretical publication, Steve Lamoreaux from Yale University [Lam 97] was able to verify the Casimir-forces with a precision of ±5%. Since this result, Casimir is taken serious and his Casimir-effect is accepted generally. Before the Lamoreaux-verification, the scientific community ignored the discrepancies between zero-point-energy and Quantum-theory simply without comment. Only since Lamoreaux’s measurement, the scientific community understood that Casimir solves many problems and he answers many open questions between vacuum-energy and Quantum-theory.

Since 1997, the existence of vacuum-energy is verified not only in astrophysics, but also in a terrestric laboratory. And since this time, vacuum-energy is accepted by the scientific community. Only few years later, the industrial production of semiconductor circuits for microelectronics applications needed to take the Casimir-forces into account, in order to control the practical production of their miniaturized products.

Although the research field of vacuum-energy as well as its sub-discipline of zero-point-energy (of the electromagnetic waves of the quantum-vacuum) is a very young, the scientific work in this area is very urgent because of its extremely important applications. The point is that this research field opens the door for utilization of this absolutely clean energy, which can be used as a source of energy, free from any environmental pollution. And moreover, this source of energy is inexhaustible, because it is as large as the universe itself. Mankind will have to use this energy soon, if we want to keep our planet as our habitat.

The possibility to utilize this vacuum-energy is already theoretically established and also experimentally verified [Tur 09]. But the experiment could only produce a machine power of 150 NanoWatts. This is really not very much, but it is enough for a principal proof of the fundamental scientific discovery. Thus this work, done in 2009 not yet presents a technical engine, but only the basic scientific verification of the zero-point-energy of the vacuum. Consequently it should be expected, that the next step now will be to build prototypes of this engine for practical engineering techniques with larger machine power. Nevertheless, there is a better way to process, namely as following.

If we look into the available literature, we find that there is already an amazingly large number of existing approaches, to convert vacuum-energy into some classical type of energy. A good overview about the work already available can be found at the book [Jeb 06]. There we read, that successful work is done by laymen as well as by honourable institutes such as Massachusetts Institute of Technology (MIT). Some work is even done by military and secret services ([Hur 40], [Nie 83], [Mie 84]). If we dedicate our attention to available reports, we immediately see, that there are already existing zero-point-energy-converters with a machine power of many orders of magnitudes larger than mine with only 150 NanoWatts. Obviously mankind already managed to take zero-point-energy converters into operation, with handy dimensions and a machine-power of several Watts or sometimes even several KiloWatts.

Even if the utilization of the clean, pollution-free and inexhaustible vacuum-energy is not yet known by everybody, because the intellectual hurdle for its discovery is rather high, it is already clear that this is the energy technology of the upcoming third millennium. It will gain the energy-market within a foreseeable number of years, because mankind needs it to survive [Sch 10], [Ruz 09]. And it will bring a new industrial boom, because all the energy-consuming industry will have enough energy without limitation, as well as private people will have. Similar as the reduction of the prices of semiconductors increased the business of  semiconductor-industry, the reduction of the prices of energy will increased the business also of the energy-producing industry. We can be glad about all these practical engineers, who construct vacuum-energy-converters from their intuition, because they help us to find our way towards clean energy. Nevertheless we face the necessity to develop a proper physical theory for the understanding of such converters. The necessary scientific work will not only give us the possibility to understand the fundamental basics of zero-point-energy and its conversion into classical energy, but it would also give us the possibility to perform a systematic construction and optimization of such engines. A contribution to this scientific knowledge was developed by the author of the preceding article in [Tur 09]. But the article here presents the understanding of the principles of zero-point-energy conversion in a way, that it will be possible to develop method to calculate zero-point-energy converters in a way, that the systematic technical construction of these engines will be possible in not too far future.

 

2. The Energy-circulation of the Fields of the Interactions

We begin our considerations with a remembrance of the energy-circulation of the electric and the magnetic fields, which is described in [Tur 07a] und [Tur 07b]:

As we know, every electric charge emits an electric field, of which the field-strength can be determined by Coulomb’s law [Jac 81]. This field contains field energy, which can be determined from the field-strength.

The field-strength of the electric is


The energy density is determined as

 

 

We know that the field contains energy, depending (among others also) on the amount of space, which is filled by the field. Furthermore we know from the Theory of Relativity as well as from the mechanism of the Hertz’ian dipole-emitter, that electric fields (same as magnetic fields, AC-fields as well as DC-fields) propagate with the speed of light (see [Goe 96], [Pau 00], [Sch 02], and others). Thus every electric charge as the source of the field permanently emits field-energy. This is a feature of the field-source and the field. (The property to be a field source is calculated mathematically by the use of the Nabla-operator, as written for instance in Maxwell's equations.)

 

But from where does the charge (being the field-source) receive its energy, so that it can permanently provide the field energy ?

 

The answer again goes back to the vacuum-energy, namely to the above mentioned energy-circulation: On the one hand, every charge in the empty space is supported permanently with energy, and because this is also the case if the charge is only in contact with the empty space (the vacuum), the energy can only be provided by the vacuum. On the other hand, the field gives a certain amount of energy during its propagation through the empty space back to the vacuum. This conception was developed in [Tur 07a] and it was proven in [Tur 07b]. This means that the charge converts vacuum-energy into field-energy, and the field gives back this energy to the vacuum, during its propagation into the space. This is the energy-circulation mentioned above. The functioning-mechanism behind this type of “back and forth” energy-conversion (circulation) is not yet completely clarified.

 

It should be mentioned that this type of energy-circulation is recognized not only for the electric field, but also for the magnetic field. This is also theoretically proven in [Tur 09]. Furthermore, the electromagnetic interaction is not the only one in nature, which can be described by an appropriate potential (a scalar-potential Φ or a vector-potential A). Consequently each of the four fundamental interactions of nature should have its own basic interaction-field, which can be derived by appropriate mathematical operations from its potential. This leads us to the following systematic:

 

? Table 1: Electric interaction and other fundamental interactions

Interaction

Potential

Field-strength

Energy density

Electrostatic interaction

 

(following Coulomb)

 

(following Coulomb)

Electromagnetic interaction

vector-potential

 

(Biot-Savart)

Gravitation

(static interaction)

Gravimagnetic

interaction

vector-potential

 

 

(see Thirring-Lense)

Strong interaction

[Pau 10]

 

 

Weak interaction

[Wik 10]

Potential of the

Higgs-Field

 

 

 

Following symbols and constants are used (numerical values according to [Cod 00]):

Q = electrical charge

m = mass (for the interaction of gravitation)

r = position vector of the point, at which the field strength is to be determined

s = position vector and  v = velocity of the infinitesimal charge elements in motion

qi = infinitesimal charge elements in motion

mi = infinitesimal mass elements in motion

ΦEL = scalar-potential corresponding to the electrical field-strength E

ΦGRscalar-potential corresponding to the gravitational field-strength G

H = electromagnetic field-strength

K = gravimagnetic field-strength

electrical field-constant: 1/4πε0 = 8.98751788•109 Nm2/C2 (because ε0 = 8.854187817•10-12 As/Vm)

magnetic field-constant: µ0 = 4π•10-7 Ns2/C2

It is:

 

gravitational field-constant: γ = 6.6742•10-11 Nm2/kg2

gravimagnetic field-constant:           Es gilt:

 

It should be mentioned that there are several possible descriptions of the fundamental interactions (besides this one given here) within the theory. The most widespread alternative description uses exchange particles – for each fundamental interaction an individual type of exchange particles. (For further details, please see section 6 of the present article.)

We now want to calculate, how much power (energy per time) the field-source of the electric field (i.e. the electric charge) respectively the field source of the gravitational fields (i.e. the ponderable mass) emits.

 

? As an example for the first mentioned interaction, we regard the electron as a source of the electric field, and thus we begin our calculation with the energy density of the electric field at the surface of the electron:

 


For the determination of the numerical value of the field strength at the surface of the electron, that classical electron’s radius of RE = 2.818 •10-15m (according to [COD 00]) was used.

 

When the field-energy is flowing out of the electron with this energy-density (and with the speed of light), we can calculate the amount of energy per time, which passes an infinitesimal thin spherical shell on the surface of the electron. This is the amount of energy being emitted by the electron. For this calculation, let s be the thickness of this spherical shell and c be the speed of light, with which the field flows through the shell. Then a given field-element will pass the shell within the time tx=s/c . Thus, the amount of energy being emitted with the time-interval tx is WEL=uELsA . This is the amount of energy, which passes the electron’s surface A within the time-interval tx.

 

This leads to an emitted power of 


Putting the electron’s surface A = 4πRE2 into this expression, and further using (3), we derive

 

 

This is a tremenduously large power with regard to this very tiny particle of a single electron. This means that every electron emits GigaWatts. In order to illustrate this amount of energy and power, we want to convert this energy-rate into a mass-rate following E=mc2, so that we see, how much mass would have to be converted into energy, to provide this machine power:

 

 

This is the amount of mass, which the classical electron converts into field energy per second.

If we remember that the electron has a mass of only mEL=9.1094•10-31kg, we see that the complete electron would be used up for the production of its field-energy within the time of  

 

For we know that this is not the case (because the electron does not disappear so quickly), the electron is obviously being supported with energy from some source. It is clear that we again face the energy-circulation described above, where the vacuum (the empty space) supports the electron (the field-source) with energy. This demonstrates, that the existence of electrically charged particles and bodies is possible by principle only because of the vacuum-energy.

 

? But also our second example, the field of gravitation, can be estimated numerically, rather easy. Let us a regard our earth as a source of a field of gravitation, and let us perform the calculation of the field-energy per time being emitted.

We take the energy density of this field from table 1 and put the numerical values of our earth into this formula:

 


for the energy density of the field of gravitation on the surface of the earth, where the field strength is generally known to be |G|=9.81m/s2.

 

Let us again calculate the emitted power according to (4) as PEL=uEL•A•c. Thus we come to

 

 

With E=mc2 we derive the mass being converted into field-energy per time to be

 

With regard to the mass of the earth of  mERD = 5.9736•1024kg, this is 2.154% of the earth, which is converted to into its field of gravitation every year. After less than 47 years the earth would be used up completely. Everybody knows that this is not the case. This demonstrates that the earth must be supplied from somewhere with energy. For the Earth is moving within the empty space (the vacuum), the vacuum is the only source, from where the Earth can get this energy.

Now we see that not only the electric charge converts vacuum-energy into electrical field-energy, but also every ponderable mass converts vacuum-energy into the field-energy of the field of gravitation. This is absolutely clear now. Missing is only the clarification about the mechanism behind this energy-conversion. As we will see in section 6, all four fundamental interactions of nature undergo a similar circulation of energy, converting vacuum-energy into field-energy and then back into vacuum-energy.

 

We should not be surprised that electrically charged bodies convert much more energy per time into the electric field, then ponderable masses convert into the field of gravitation. As we know, the electromagnetic interaction is regarded to be much stronger than the interaction of gravitation. For a relative comparison of the interaction-strength (of those both interactions), we could calculate the relation of the converted power, as it is

 

 

This result is a rather similar to values of the comparison of the interaction-strength, as it is done within the standard-model of elementary-particle-physics [Hil 96].

 

 

3. The Stability of Atoms

An unsolved enigma of atomic physics, which is often mentioned even in high-schools, is the stability of atoms. Rather often this problem is described in the form of a question:

Why do the electrons of the shell not fall down into the nucleus ?

This question has the following background:

If the electrons run along their given orbits around the nucleus (no matter whether we regard them classical or within the usual model of quantum mechanics), the electrons experience a centripetal-acceleration. If they would not feel this acceleration, they would fly away tangentially from their orbit. Obviously they do not fly away like this, so it is clear that the centripetal-acceleration is really occurring.

According to electrodynamics, accelerated electrical charge does emanate electromagnetic waves, as it is used for instance for the production of X-rays, or as we know it from the functioning-mechanism of the Hertz’ian dipole-emitter. Electrons in the atomic shell should thus emit permanently electromagnetic waves, and these waves transport energy. This loss of energy should make the electron fall down into the atomic nucleus. But as we know, atoms can be stable – and stable atoms have electrons which do not fall into the nucleus. We all consist of such stable atoms. And we do not observe that all atoms permanently emit electromagnetic fields (besides thermal radiation, as long as our temperature is not at zero Kelvin).

In the usual standard-model of physics, this open question is simply ignored. Electrons circulate around the nucleus without flying away tangentially and without falling into the nucleus. We simply accept this without explanation and without understanding. Just we say, that it is like this.

The explanation is coming from vacuum-energy. It is already indicated in literature [Val 08], and it is absolutely clear, if we come back to the above mentioned energy-circulation between vacuum-energy and field-energy:

Of course the electrons feel centripetal-acceleration along their orbit around the nucleus, so it is clear that they emit electromagnetic-waves. But the electrons are permanently supported from vacuum with energy, and this makes it possible that they keep their energy-level. The discreet levels, as we know them from quantum mechanics, are exactly those levels, on which the support with vacuum-energy is in equilibrium with the emission of electromagnetic waves. (This is not a thesis, but it is proven soon.) But the field energy emitted by the accelerated electrons will be re-converted into vacuum-energy within a very short distance, so that we can not see any radiation even after a very short distance away from the electron. This is again a closed energy-circulation respecting the law of energy-conservation. In order to demonstrate that this explanation of the stable energy-levels of the electrons in atomic shell, which is an alternative to the explanation of quantum theory, is not some strange or grotesque train of thoughts, it must be mentioned, that there is the theory of Stochastic Electro­dynamics, with many publications in highly respected physic’s journals, which uses exactly this alternative train of thoughts as a basis for the calculation of all well-known results of Quantum-mechanics, without using any formalism of Quantum-mechanics at all (for a long list of literature please see [Boy 66..08], but also see the information at [Boy 80], [Boy 85]). A respected scientific group (Calphysics Institute) does remarkable work in the field of the vacuum-energy on the basis of Stochastic Electrodynamics and the support of circulating electrons with zero-point-energy [Cal 84..06]. (This is one of several aspects of their work.)

The only basic assumption of the theory of Stochastic Electrodynamics is the postulate, that the zero-point-oscillations of electromagnetic waves exist (although these waves have been originally discovered within Quantum-theory). Within Stochastic Electrodynamics, the spectrum of these zero-point-waves define the ground state of the electromagnetic radiation of the empty space, this is the vacuum-level. From their interactions with the electrons in the atomic shell, the energy-levels of the electrons are determined. Further assumptions of Quantum-theory are not necessary within Stochastic Electrodynamics.

If we regard the interaction between these zero-point-waves (of the vacuum) and the matter in our world, we see that all particles of matter absorb and re-emit such waves, because all elementary particles permanently carry out zero-point-oscillations. On the basis of this conception, Stochastic Electrodynamics is capable to derive all phenomena, which we know from Quantum-theory, without using Quantum-theory at all.

Historically the first result of Stochastic Electrodynamics was: The black body radiation with its characteristic spectrum as a function of temperature results from the movement of the elementary-particles of which the body consists, and which perform zero-point oscillations. The next result of Stochastic Electrodynamics was the photo-effect. In the history of Quantum-mechanics, one of the prominent results was the explanation of the energy levels of the electrons in atomic shell. In the formalism of Stochastic Electrodynamics, stable states (at which electrons can stay) are achieved when the energy being emitted from the electrons because of their circulation around the nucleus, is identically compensated by the energy which they absorb from the zero-point radiation of the vacuum. (This contains an explanation, why the electrons do not fall into the nucleus because they lose energy due to their circulation. There is some analogy with Bohr’s first and third postulate, according to which stable states of shell-electrons are only possible for constructive interference of the electron-waves.) And finally it should be said, that the equilibrium between absorbed and emitted radiation (in Stochastic Electrodynamics) leads to the same discrete energy-levels as we know them from Quantum-mechanics.

Not only the results of Quantum-mechanics but also the results of Quantum-Electrodynamics are reproduced with the formalism of Stochastic Electrodynamics, for instance such as the Casimir-effect, van der Waals- forces, the uncertainty principle (which has been derived the first time by Heisenberg) and many others.

For the sake of completeness it should be remarked, that Stochastic Electrodynamics of course explains the phenomena of nature on its own, not trying to reproduce the mathematical structure of Quantum-theory and even not in connection with the formalism of Quantum-theory. So for example the famous Schrödinger-equation, as a typical formula of Quantum-theory can not be derived with the means of Stochastic Electrodynamics, because such a formula simple is not a topic of Stochastic Electrodynamics. In the same way, formulas of Stochastic Electrodynamics can not derived within Quantum-theory. In this sense, Stochastic Electrodynamics and Quantum-theory are two independent concepts, which describe the same phenomena of nature, but which have totally different philosophical background.

It is known that Stochastic Electrodynamics is not as widespread as Quantum-theory. But it is in complete confirmation with all nowadays known phenomena of nature. Thus it is sensible to accept it for further considerations of “how to extract energy from the zero-point-oscillations”, which can lead to interesting results, because new thoughts might emerge. The zero-point-oscillations and the zero-point-waves are the central fundament of Stochastic Electrodynamics.

In this sense, we could describe the relationship between Stochastic Electrodynamics and Quantum Mechanics a little bit provocative, but with logical consequence:

The fundamental of phenomenon of nature, which is described by both theories, is the existence of the electromagnetic zero-point-waves in the vacuum, which we see as a part of the whole vacuum-energy. On the basis of these waves, it is possible to establish two different mathematical formalisms, independently of each other. One formalism is known as Stochastic Electrodynamics and the other one as Quantum Mechanics. Both of them have the same capability to explain the phenomena of nature. Both of them accept and the need vacuum-energy. Vacuum-energy is the only common feature of both theories. Thus vacuum-energy is to be regarded as the real fundament. Both theories are mathematical structures, which use vacuum-energy and draw their conclusions from it. Stochastic Electrodynamics is explicitly conscious of this fact, whereas Quantum Mechanics has this consciousness only implicitly somewhere in background. Because Quantum Theory would not work without vacuum-energy, it is also based on vacuum-energy.

 

This is the moment for a short intermediate recapitulation of the sections 1-3:

  1. The dominant part of our universe is vacuum-energy (even if we don't see it directly).
  2. Physical entities as we know them from everyday’s life, such as electrical charges and ponderable masses, can only exist because of vacuum energy. Vacuum-energy is the fundament of all interactions between all particles which we know.
  3. Also the existence of atoms is only possible because of vacuum-energy, and the theory of atoms is based finally on vacuum-energy.

 

 

4. A fundamental understanding of the term “field”

In [Tur 08] the author of this article presented the following explanation for electrical (as well as magnetic) fields, which shall be recapitulated in short terms here:

The empty space (i.e. the vacuum) contains zero-point-waves. They have their continuous spectrum of wavelengths inside the space without field. But if a field is applied, the wave­lengths are reduced in comparison to the wavelengths without field. The fundament of this conception is a work done by Heisenberg and Euler, in which they develop the Lagrangeian of electromagnetic waves within electric and magnetic fields, and they analyze the influence of the fields on the speed of propagation of those waves [Hei 36]. They come to the result, that the speed of light in space containing field is slower, than the speed of light in the space without field. (The latter one is the vacuum speed of light as being used in the Theory of Relativity.) This old work by Heisenberg has been confirmed and further developed by [Bia 70] and by [Boe 07], who quantitatively calculate the reduction of the speed of propagation of electromagnetic waves as a function of the applied field strength.

From there we know, that the speed of electromagnetic waves is reduced by electric and magnetic DC-fields, and we postulate that also the waves in the ground-state (i.e. the zero-point-waves) follow this behaviour. The feature to reduce the speed of waves is a feature of the fields themselves.

On this basis, the field’s energy is understood in the terms of a reduction of the wavelengths of the zero-point-waves (which makes them run slower). From there we understand figure 1. On the left side we see an electrical charge “Q”, producing an electrostatic field. In the middle there is a metallic plate, shielding the field, so that there is no field on the right side of the plate. Thus the wavelengths of the zero-point-waves are reduced only on the left side containing field, but they are not reduced on the right side which does not contain any field. On the right side the zero-point-waves have the wavelengths of the field free vacuum. The field’s energy, which is flowing from the charge “Q” is stored within the enhanced frequency of the zero-point-waves. This energy-flux goes onto the left side of the metallic plate, is absorbed by the metal-plate and thus causes the attractive force, which pulls the plate towards the charge “Q”. This is known within Classical Electrodynamics, where the attractive force is calculated with the use of the image-charge-method [Bec 73].

 

 

Fig. 1:Conception of the electric field reducing the wavelengths of the zero-point-waves in the quantum–vacuum.

 

By the way, it should be mentioned, that the influence of the DC-fields on the speed of propagation of the electromagnetic (zero-point-)waves (which are responsible for the interaction) is very tiny. According to [Boe 07] the alteration of the speed of propagation of electromagnetic waves, due to applied magnetic field is

 

 

with Θ being of the angle between the direction of propagation of the photons and the direction of the magnetic field. These both directions define a plane. With regard to this plane, the polarization leads to a=8 for the parallel-modus and to a=14 for the perpendicular-modus.

According to [Rik 00] and [Rik 03], the effect of an electric field causes

   (9),

which is also very tiny. 

 

 

In principle, the field of gravitation can be treated in analogous way, on the basis of the zero-point-waves of gravitation in the quantum vacuum. The field of gravitation would then have an influence on the wavelengths of the (postulated) zero-point-waves of gravitation. This conception of “fields reducing the zero-point-waves of their individual interaction” can be applied to all fundamental interactions in physics, as we will discuss in section 6. The only exception is the Strong interaction, which can not be transferred directly one by one into this model. But this is not the large problem, because the Strong interaction is said to be not completely understood in the Standard model of elementary particle physics (see section 6).

What I also want to mention, is the difference between static fields (such as the electrostatic field and static field of gravitation) and magnetic fields (such as the electromagnetic field and the gravimagnetic field). The existence of the electromagnetic field is generally known. The existence of the gravimagnetic field, is also known by theory [Thi 18] and verified experimentally [Gpb 07], but the knowledge is not widespread among everybody. In history of physics it was derived from the Theory of General Relativity.

The question is now: Static fields reduce the wavelength of the zero-point-waves, but magnetic fields do something very similar. There is a difference between the effects of those both types of fields, the static and the magnetic fields. How can we understand this ?

The answer is surprisingly simple: The difference is a coordinate-transformation, namely the Lorentz-transformation. If an observer is in rest with regard to the field source (for instance an electric charge) the observer will only see the static field. But if the observer is moving with regard to the field source, he will additionally see an electric current (due to the motion of the electric charge), and he will have to calculate additionally the magnetic field produced by this current. This calculation can be done on the one hand by the classical formulas for magnetic fields within classical Electrodynamics, but on the other hand this calculation can be done by taking the relativistic length-contraction of the wavelengths of the zero-point-waves (due to the movement) into account [Dob 03]. Both ways of calculation lead to the same force of interaction and to the same field’s energy.

With regard to our concept of the reduced wavelengths of the zero-point-waves, this means: If an observer is moving relatively to the field source, relativistic length-contraction additionally reduces the wavelength of the zero-point-waves. And this additional reduction can be described in terms of a magnetic field.

 

But now, please focus your attention to the finite speed of propagation of the zero-point-waves, and to the alteration of this speed of propagation due to an applied DC-field. An illustration for a further very important aspect is to be found in figure 2:

Let us start our considerations with the very first line on top of this figure. There we see a sphere on the left side of the drawing, which is drawn with green colour. The sphere does not carry any electrical charge in the first line. The electromagnetic zero-point-waves of the quantum vacuum (in red colour) are flowing without any influence of any field. They propagate with the vacuum speed of light, such as they always do it in the space without any field.

The time is represented in steps from line to line with increasing time from the top to the bottom.

In the next (second) line of figure 2, an electrical charge “Q” is brought onto the green sphere. This causes a reduction of the wavelengths of the electromagnetic zero-point-waves which come into the electrostatic field. They also propagate into the space. But they (i.e. the “blue waves”) are propagating a little bit slower than the “red” waves. This difference of speed of propagation causes a small gap between the “blue” and the “red” wave trains.

As long as the electrical charge “Q” is present on the green sphere, the electromagnetic zero-point-waves will propagate with the reduced wavelength, as we see it also in line number 3.

In line 4 the electric charge “Q” is taken away from the green sphere, so that the electromagnetic zero-point-waves now again propagate with the wavelengths of the vacuum without field. This causes, that we now again see the emission of the “red” waves, which propagate with the vacuum speed of light. For the “red” waves propagate a little bit faster than the “blue” ones, the “red” waves begin to overtake. During time, this difference of the speed of propagation will lead to a more and more increasing overlap between the “red” and the “blue” waves, as we can see in lines number 5 and 6. On the one hand the “red” waves coming from behind will overtake the blue waves, but on the other hand the “red” waves, which are running in front of the “blue” waves will make a gap between the red and the blue waves, which is also grows during time.

 


 

Fig. 2:  Illustration of the propagation of an electric field through the space as a function of time. In the direction of the abscissa, we see one spatial dimension (into which the field propagates), in the direction of the negative oordinate (from top to bottom), we see the increasing time (in discrete steps).

 

Please notice, then the overlap as well as the gap between the fast “red” (emitted without field) and the slow “blue” waves (emitted with field) permanently increases during time, because the waves propagate with different speed. This situation can be compared with cars in traffic which overtake each other.

 

The crucial consequence of this situation is the conclusion, that there are time intervals, during which there is no effect of the emitted field-energy on an observer (the observer is represented by green arrows on the right side of the figure). This is the case, when the gaps between the “blue” and the “red” waves arrive at the observer. And there are time intervals, during which the observer sees the double amount of zero-point-waves, which is the case when the overlaps between the “blue” and the “red” wave arrives at the observer.

-         During the last mentioned time-intervals of twice as many zero-point-waves (overlap), it is possible to take an enhanced amount of energy out of the zero-point-field of the quantum vacuum. This leads to an enhanced force of interaction. At these moments, it is possible to move magnets or electrical charges with enhanced interacting force.

-         During the first mentioned time-intervals of the gaps, there is no field-force acting on the observer. At these moments, it is possible to move magnets or electrical charges without any interacting force.

 

 

This should open the way to a practical utilization of the zero-point-waves for the conversion of vacuum energy – as soon as we will be able, to build a machine, which always does the right type of movement in the right (appropriate) moment. And example for this mechanism could be the following:

? During the phase of the overlap of the zero-point-waves (simultaneous arrival of both waves), we allow the parts of the machine converting vacuum-energy to follow the Coulomb-force (or magnetic force), so that the force is an enhanced because of the overlap. In the case of an attractive force, the parts of the engine should move towards each other. This very special movement gains more energy, then we can expect from the simplified laws of classical Electrodynamics, which do not take the finite speed of propagation of the fields into account.

? During the phase of the gap between the zero-point-waves (missing interaction-force within the gap) we have to perform the opposite direction of the movement of the parts of the machine converting vacuum-energy, this is the direction against the Coulomb-force (or magnetic force). In the case of an attractive force, the parts of the engine should move away from each other.

? During this very special movement, the distance between attractive parts of the machine can be enhanced without a force – different then we can expect from the simplified laws of Electrodynamics, which do not take the finite speed of propagation of the fields into account.

By this means it must be possible, to construct closed cycles of movement, along which the attractive direction gains more energy than the repulsive direction consumes.

This explanation describes the fundamental principle, according to which electric and magnetic vacuum-energy-converters can operate. 

 

 

 

Up to now, several inventors are known, who constructed vacuum-energy converts by intuition, finding an functioning machine by „trial and error“. But none of them has a clear idea about the theoretical working-principle behind his machine. And none of them is capable to optimize his machine systematically on the basis of such a theory. They all do the optimization by „trial and error“ (and the have success nevertheless).

Many of them report about high frequency impulses, and this is not surprising, if we look to the small differences in propagation-time between the “red” and the “blue” zero-point-waves.

With the concept presented here, the fundamental functioning principle of vacuum-energy converters is found. This is the basic fundament for the construction of vacuum-energy converters at all. It is now the task to apply this knowledge and to build vacuum-energy converters on this principle, and to optimize these devices systematically.

 

5. Practical methods for the construction of vacuum-energy converters

In order to construct a new vacuum-energy converter, or to calculate the functioning of existing one, the following steps define a scheme of operation.

1. step: Preparation by a classical FEM-computation

The geometry of the machine and especially of its field sources (i.e. magnets or electric charges) has to be modelled with a computer. A possible instrument therefore is the method of finite elements (FEM). But a classical FEM-program can only take this model of the machine and calculate the forces between the different parts of the engine without taking the speed of propagation of the fields into account [Ans 08].

Even if the theory behind such an FEM-algorithm is called electrodynamics, we regard the computation as a static one, because the time-dependency of the propagation of the fields during the space is neglected.

For typical engines made by mankind in the laboratory or in industrial production, this simplified static Theory is absolutely sufficient, because the distances between those parts of the engine, which interact with each other, is so small, that the time for the propagation of the fields don't play a serious role. For example, if an electric engine is a smaller than one meter, the propagation-time for the magnetic fields with the speed of light is less than

 t  = v/s = (1m)/(3•108 m/s) = 3.3nanoSeconds,

to propagate from one end of the engine to the opposite end. For the practical construction of classical engines (not for zero-point-energy converters) such small time-intervals are absolutely not important. For such engines, the static Theory of classical Electrodynamics is fully sufficient. This is different from zero-point-energy converters, whose principle is based on the dynamic time-dependency of the propagation of the fields.

2. step: Supplement of a real dynamic of the field-propagation to the FEM-method

(2.a.) Practical aspects for the production:

If a zero-point-energy converter shall be constructed, the principles of section 4 have to be taken into account, which are based on the finite speed of propagation of the fields. For the setup to be constructed, the time-intervals for the propagation of the fields with the speed of light, have to be dissected precisely (taking the necessary effort). This makes it necessary to build the machines in such a way, that the motions of its parts are short and fast enough, that the parts of the engine can feel the overlaps and the gaps between the “blue” and the “red” waves of figure 2. Because these gaps and overlaps depend on the speed of light, it is necessary to work with rather high speed of revolution and with rather high frequency of the signals and/or pulses as well as high frequency fields.

(2.b.) Computing method:

In order to realize the described construction, it is necessary to add the real dynamics of the time-dependency of the propagation of the fields to the Finite-Element-Method. Thus it is not enough to register all positions of all components of the machine as it was done under (2.a.), But it is additionally necessary to register fully all components of the machine with their complete motion in space and time. This means: In addition to the three spatial dimensions of the static Theory of classical Electrodynamics, we now have to add the dimension of time. And there is even more additional work to be done: This is necessary not only for all mechanical and electromagnetic components of the machine, but also (and this is very important) for all fields of interaction, which have to be treated as individual parts of the machine. The propagation of these fields must be taken into account, same as the motion of all other parts of the engine. Every hardware component of the machine emits a field during the consecutive time t1, and this field starts its propagation at the position r1(x1,y1,z1) , from where it is emitted at the time t1. And from this moment on, the field propagates all over the machine, so that it will reach an other component of the machine at the time t2 at the position r2(x2,y2,z2) . And there it will cause a force of interaction (independently from the question, to which position the field-emitting hardware has been moving in the meantime). For the operation of the engine, the motion of all of its active components as a function of time t1t2  has to be taken into account, so that we know their positions

r1(t)=(x1(t),y1(t),z1(t)) and r2(t)=(x2(t),y2(t),z2(t)) , …, rn(t)=(xn(t),yn(t),zn(t)) ,

where the machine consists of n components. But additionally the dynamic-FEM simulation (DFEM) on the computer needs the behaviour of all fields of interaction in the same way, these are the data

E1(x,y,z,t) and E2(x,y,z,t) , …, Ek(x,y,z,t) for the dynamic propagation of the electric fields, and

B1(x,y,z,t) and B2(x,y,z,t) , …, Bk(x,y,z,t) for the dynamic propagation of the magnetic fields.

Only if the motion of all hardware components of the machine during space and time, and the motion of all fields during space and time is completely included into the simulation, the computation of a vacuum-energy-converter is possible. This condition is absolutely necessary, because the finite speed of propagation of the fields and the alteration of the speed of propagation of the zero-point-waves is the basis of the conversion of vacuum-energy. Only if we take the time of the propagation-speed of the zero-point-waves into account, we are capable to extract energy from these waves.

In view of the DFEM-computation, the most uncomplicated type of vacuum-energy-converter is the so called „motionless-converter“, which does not contain any hardware-parts in motion. For this type of converter, the only parts in motion are the fields (see for example [Bea 02], Coler [Hur 40], [Nie 83], [Mie 84], and [Mar 88-98]…, just to mention a few examples). It is empirically observed, that these motionless devices convert vacuum-energy, but up to now there was no theoretical understanding, how a machine without any moving parts can gain energy from the vacuum. This understanding is now clear on the basis of the different speeds of propagation of the electromagnetic zero-point-waves, as it is explained in section 4 of the present article. And such motionless converters can be simulated with the computer on the basis of the explanations of section 5. The fundamental theory is Electrodynamics with the supplement of the finite speed of propagation of electric and magnetic fields and the different speeds of propagation of the zero-point-oscillations within these fields.

Let us summarize with few words: For the understanding of a machine converting vacuum-energy, all its moving components have to be taken into account with their movements in space and time. These components are not only the hardware-parts of the engine, but also the fields, by which those hardware parts interact with each other. At those positions and times, where the fields meet active hardware parts of the machine, the forces of interaction have to be calculated and taken into account.

FEM-programs, as they are up to now, are not designed to do this. Classical methods for the construction of machines can not do this as well, because this is not part of the established methods. Even if it is a lot of work to develop a DFEM-algorithm, such a program is not dispensable, because from the logical point of view, this is the way, to understand the conversion of vacuum-energy. With regard to systematic construction of vacuum-energy converters, this type of DFEM-algorithm must be developed.

 

Crucial question: What has to be arranged in order to make vacuum-energy converters work ?

Answer: A vacuum-energy converter works, it the distances of the components of the machine and the propagation-time of the fields are adjusted to each other in such way, that the energy-consuming (endotherm) part of the movement meets the gap between the “blue” and the “red” wave, whereas the energy-producing (exotherm) part of the movement meets the overlap between the “blue” and the “red” wave (in figure 2).

If the field has attractive character (as for instance between two electrical charges with different algebraic sign), a closed cycle has to be prepared in a way, that that the overlap (of the “blue” and the “red” wave) will occur during the phase, when the components of the machine approach to each other, but the gap will occur during the phase, when the components of the machine enhance the distance between each other. This adjustment intensifies the attractive forces, which accelerate the motion, and it reduces the repulsive forces, which decelerate the motion. The consequence is, that the machine will gain more energy during the phase of acceleration, than it will lose during the phase of deceleration.

If the field has repulsive character (as for instance between two electrical charges with the same algebraic sign), the principle has to be applied in analogous manner, just with reverse direction. This means that the energy-producing, repulsive part of the motion has to be done during the phase of overlap (of the “red” and “blue” waves) in order to intensify the forces, whereas the energy-consuming, attractive part of the motion has to be done during the gap in order to reduce the forces.

Of course we face the question, whether it will be possible to simulate real existing machines with all their complexity with a DFEM-algorithm (which will have to be developed for this purpose). At every position and at every moment of the machine, we have a special spectrum of the fields and of the frequencies of the zero-point-waves, which contains many frequency-components, because the zero-point-waves propagate into a all three-dimensional directions within the machine. For classical engines without vacuum-energy conversion, as they have been produced in the industry since many years, the zero-point-waves have a spectrum, which does not cause any resonant stimulation according to section 4. But for machines with vacuum-energy conversion, this is totally different. They only work because of the resonant stimulation according to section 4. And this requests an exact adjustment of the overlaps and the gaps of the “red” and the “blue” waves with the geometry and the motion of the machine.

For a simple system, consisting of few electrical charges or few magnets in motion, it should not be very difficult, to develop a Dynamic Finite-Element-Algorithm (DFEM). But for more complicated and more sophisticated machines, the DFEM-method suggested here, should lead to a rather large expenditure of computation.

 

 

6. The Range of the fundamental Interactions

Gravitation and Electromagnetic interaction have infinite range, but Strong and Weak interaction have finite range. These features have to be explained also in accordance with energy-circulation of the energy of the zero-point-waves.

All four fundamental interactions of nature act with a distinct distance between the interacting particles. This distance can reach from microscopically small up to astronomically large. The fact, that the interactions work without bringing the interacting partners into contact, demands without any doubt, that there must be something, which creates the distant interaction. And this “something” can be described in the term of fields, or alternatively it can be described in the terms of interaction-quanta (i.e. exchange-particles). In both cases it is clear, that the particles interacting with each other have to emit energy, i.e. the energy of the fields or alternatively the energy of exchange-particles.

This brings us inevitably back to the energy-conservation and energy-circulation as discussed above, which requires the existence of vacuum-energy: If any interacting partner is in contact only with the void (the empty space), its supply with energy for the production of the field reps. of the exchange-particles can only come from the void. And during their propagation, the fields resp. the exchange-particles have to give back some of their energy to the void.

For Gravitation and Electromagnetic interaction we know, that the fields as well as the exchange-particles are absorbed only partly not completely by the vacuum, so that the interaction will never disappear fully, even for infinite distances. The absorption of field energy by the space is partly and continuous, and it leads to a continuous decrease of the field-strength. For the Strong and for the Weak interaction, the behaviour is totally different. They have finite range. This means that their fields (as well as the exchange-particles) have to be absorbed completely by the vacuum within a finite distance.

For the fundamental concept, we can assume the model, that each of the four fundamental interactions of nature has its own type of zero-point-waves in the quantum-vacuum:

 

 

Fundamental

interaction

zero-point-waves in quantum-vacuum

(in wave-representation)

interaction-quanta (exchange-particles)

(in particle-representation)

Range

Gravitation

Gravitation-waves

Gravition

Infinite

Electromagnetic interaction

Electromagnetic waves

Photon

Infinite

Strong interaction

„Strong waves“ (hypothetically ?)

Gluon

Finite

Weak interaction

„Weak waves“ (hypothetically ?)

W+,W-,Z0-Bosons

Finite

 

 

Obviously each of the four fundamental interaction needs its individual type of the zero-point-waves in the quantum vacuum, because it is impossible to explain Gravitation with Electromagnetic waves, or Strong interaction with Gravitational waves, and so on…

For the explanation of the range of the interactions, we can use the concept which we know from the explanation of the range of Weak interaction. This can be adapted to all fundamental interactions accepts the Strong interaction, which is not yet fully understand (as is said in literature).

Before we will discuss this concept soon, we want to dedicate our attention the Strong interaction, which is responsible for the explanation of forces within the atomic nucleus. These forces are attributed to the exchange of Gluons, which are exchanged between colour-charged particles like quarks. Colour-neutral quark-combinations (such as protons and neutrons) only can see the colour-charges of their partners of interaction, if they are close enough to each other, because for larger distance, they would not dissolve the colour-charge details of each other. Only for very short distances, (below 10-15 meters) quark-bags can recognize different colour-charges of each other [Stu 06].

For a discussion of the problems of the understanding of Strong interaction within the Standard-model of elementary-particle physics is not necessary in the article here, we restrict ourselves to the explanation of the range of

-         Gravitation

-         Electromagnetic interaction and

-         Weak interaction.

 

The finite range of Weak interaction is normally traced back to the rest-mass of the interaction-quanta (W+,W-,Z0-bosons): These interaction-quanta are taken out of the quantum vacuum (in the Standardmodel of elementary-particle physics same as in the energy-circulation of the preceding article here), and they have to be given back to the quantum vacuum within the limit of Heisenberg's uncertainty relation, in order to respect energy-conservation. This means that the Standardmodel, same as the energy-circulation presented here, assumes the creation of interaction-quanta, whose existence is restricted to a time-interval, due to the energy-time-variant of Heisenberg's uncertainty relation. Especially for the Weak interaction this leads to the consequence:

 

Rest-mass of the interaction-quantum:


Uncertainty relation ΔE•Δt≥h  =>

Decay time

For the interaction-quanta can by principle not be faster than the speed of light, their range is restricted by their life-time to a maximum of


 

If we want to apply this conception in full logical consequence to photons and gravitons, which do not have a rest-mass, we come to the following situation, if we change our point of view from the particle-representation to the wave-representation:

Electromagnetic waves have a wavelength of λ and thus they carry an energy of E = h•c/λ.

 

 

This corresponds to a (moving-) mass of the photon of E = h•c/λ = mc2 = h/cλ.

 

Because the quantum vacuum contains a continuous spectrum of electromagnetic waves, the (moving-) mass of the photons (as interaction-quanta), has a continuous spectrum, and we apply Heisenberg's uncertainty relation as following:

 

 

After a photon (as interaction-quantum of the electromagnetic interaction) is taken out of the quantum vacuum by an electric charge (which plays of the roll of a field source), the photon has to be given back to the quantum vacuum within the limit of Heisenberg's uncertainty relation, same as the interaction-quanta of Weak Interaction, which we discussed before. Because the photon propagates with the speed of light, it has to be given back to the quantum vacuum within the distance of propagation of s = c•Δt ≈ λ.

This has the consequence, that the range of the Electromagnetic interaction corresponds to the wavelength of the photon as the interaction-quantum, which are the wavelengths of the electromagnetic zero-point-waves of the quantum vacuum. Because the quantum vacuum contains a continuous spectrum of electromagnetic zero-point-waves, and the wavelengths go up to infinity, the range of the interaction has the same length, this is infinity. (Side-remark: A cutoff-radius of the wavelengths of the zero-point-waves for short wavelengths in the order of magnitude of the Planck-length is under discussion, in order to eliminate divergence-problems with the determination of the zero-point-energy of the quantum vacuum. A cutoff-radius for long wavelengths is not necessary and thus it was never under discussion [Whe 68].)

By the way: The concept presented for Electromagnetic interaction can be transferred to Gravitation identically. It is just necessary to replace the electromagnetic zero-point-waves by gravitational zero-point-waves and the photons by gravitons.

 

7. Solution of the discrepancy of the rest-mass of the field-sources

During time (during centuries) the fields permanently spread out into the space (the universe). This is not the case for the Strong interaction and for the Weak interaction, because their range is finite, and after a short distance, they completely disappear, being fully re-absorbed by the vacuum. But Gravitation and Electromagnetic interaction propagates over infinite distance into the space. Thus their energy can be re-absorbed only partly but never completely by the vacuum. The consequence is, that the amount of field-energy (of the gravitational field, the magnetic field and the electric field) is permanently increasing during time. Due to energy-conservation, their counterpart, the vacuum-energy must decrease permanently during time. If we would know the amount and the distribution of electrical charges and ponderable masses in the universe, we could determine the amount of increasing field-energy and decreasing vacuum-energy as a function of time. This tells us that the information, that our universe consists of about two thirds of vacuum-energy is only a picture of the moment of observation - with regard to cosmological time-intervals.

 

If we could observe the propagation of the fields for an infinite time-interval, we would come to the total field-energy, as known from literature. The prominent example for this calculation can be found in the widespread beginner’s-textbook by Richard Feynman, in which he demonstrates the determination energy and the mass of the electric field of the electron:

From the electric field of the electron and its energy-density recording to our equations (1) and (2), Feynman determines the field-energy in the outside of the electron, using the classical electron’s radius of RE =2.818•1015m  (according to [COD 00]) as following:


 

But there is a contradiction: From scattering-experiments we know, that the electron has to be treated as punctiform particle in reality (with a radius, which is for sure smaller than the classical electron's radius, and even for sure smaller than rscatter<10-18m, see for instance [Loh 05], [Sim 80]). This means, the field-energy of the electron is remarkably larger then the value given above. With other words: The field-energy of the electron is much larger than the ponderable mass of the electron would allow. This problem is regarded as an unsolved discrepancy in literature.

This discrepancy led into several discussions among physicists, because we see an unsolved contradiction of several orders of magnitude. Namely, the problem is as following: If we want to move the electron in space, we have to move the field of the particle together with the electron – if we assume an instantaneous propagation of the field, as classical Electro­dynamics does, with infinite speed of propagation (not taking the finite speed of propagation of the fields into account). If we want to move the complete field (together with the electron), we have to overcome the inertia of its large ponderable mass, which is connected to the field-energy (due to E=mc²). In the conception of classical Electrodynamics the complete field is fixed rigidly to the field source of the electron. This is a contradiction not only to the Theory of Relativity (because of the infinite speed of propagation of the field strength, which would allow the transformation of information with infinite speed), but this is also in contradiction to the ponderable mass of the electron in comparison with the field-energy of the electron.

The solution of this discrepancy is rather simple: It is just necessary to dissolve the misunderstanding, which is behind this discrepancy, namely the rigid fixation of the field to the field-source with immediate infinite expansion of the field. This point of few is simply erroneous (because of the reasons explained above). In reality the field is not fixed rigidly to the electron, and thus we do not have to move the complete field, when we want to move the electron. In reality, the electron emits its electromagnetic field, and as soon as the field is emitted, it is released from the electron. So the field propagates through the universe, following the way how it was emitted, not knowing what is happening to the electron, after the field has left its source. The field propagates into the space with the speed of light, without being coupled to the field-source. There is no interaction between the field source and the field being emitted before the moment of observation, so that the field does not give any action back to the electron from which it originates. Consequently, the field has no means to act onto the inertia of the electron. This solves the discrepancy between the classical electron’s radius, the electron’s radius from scattering experiments, the ponderable mass of the electron and ponderable mass of the electron’s field. The electron has its ponderable mass, which is independent from the energy of its field. (The discussion of the ponderable mass of the electron is a different topic, which shall not be under discussion here, because this is not necessary for our consideration dealing with the conversion of vacuum-energy.)

 

This is one more example, from which we see, how the finite speed of propagation of the field (as a logical consequence of the Theory of Relativity) helps to solve old problems. After decades of years without any solution, the problem fell into oblivion – and here is the solution.

 

 

8. Microscopic vacuum-energy conversion

This section has the purpose to demonstrate, that the conversion of vacuum-energy is not something exotic, which can only be achieved with hard effort and after overcoming many difficulties. In reality, the conversion of vacuum-energy is something very normal, which we observe every day in our normal life. In section 3 we saw, that every atom is a vacuum-energy-converter, and we know atoms from everyday’s life. We want to support this knowledge about the conversion of vacuum-energy by regarding the electrons in the atomic shell now, namely by demonstrating the connection between these shell-electrons and the vacuum-energy with a little calculation.

 

Without the conversion of vacuum-energy, atoms could not exist by principle. From the theory of Stochastic Electrodynamics, we know that atoms convert vacuum-energy extremely efficient. We also know from section 2, that single electrons convert vacuum-energy very efficient. Without being supplied by vacuum-energy, electrons would decay within a tiny part of a second.

 

Of course, this brings us to the question, why microscopic particles can convert vacuum-energy so extremely efficient, much more efficient than macroscopic engines. In search of an answer to this question, we try to find some common criteria, which the microscopic particles have in common. Rather easy, we can realize that the mentioned microscopic particles, have their very fast motion in common. The electron itself is gyrating with a rather high frequency (causing its magnetic moment). And the electron in the atomic shell is a running with a rather high frequency (in the range of 1015 Hz) around the nucleus, as can be estimated with regard to the very simple example of the electron of the hydrogen-atom:

 

According to Bohr’s atomic model, the electron circulates around the atomic nucleus, with Coulomb’s force delivering the centripetal-force, which is necessary to keep the electron on its orbit.

 

 

From Bohr’s postulates, from which we know that the electron can only be kept on distinct orbits, we also know the speed of the electrons and the radii of their orbits:

From there it is not difficult, to derive the frequency of the circulation of the electron along the first orbit (quantum number n=1):

 

 

 

 

We can imagine, that the electromagnetic zero-point-wave of such a high frequency has enough energy, to supply the electron in such way, that it will be kept on its orbit. This means, that we can imagine, that the electromagnetic zero-point-waves are responsible for keeping the electron on a stable orbit. This imagination is confirmed for sure, if we calculate the energy of the electromagnetic zero-point-wave, of this frequency:

Surprisingly, we found: This is exactly the potential-energy of the electron on its orbit.

Indeed, Bohr’s atomic model determines the potential energy, the kinetic energy and the total energy of the electron in the field of the nucleus as

and this is En=13.6eV  =>  EPot=2•13.6eV in the ground state (n=1).

 

This means that the electron on its orbit around the atomic nucleus has exactly the same frequency as the electromagnetic zero-point-wave, which supports the potential energy of the electron, so that it will not fall down into the nucleus. This is a very clear confirmation for the connection between the electron in the atomic shell and the electromagnetic zero-point-wave supporting this electron.

 

Obviously the conversion of vacuum-energy is most efficient for such elements of the converter, which have the same frequency as the zero-point-waves, from which the energy shall be converted. And this is not surprising but it is plausible, because after the explanations of section 4 and 5 we know, that the energy-donating zero-point-oscillations have to oscillate in phase with the energy-accepting components of the zero-point-energy converter. And to keep constant phase-relation requires for sure identical frequency. Constant phase-relation has the consequence, that the adjustment of the overlaps and the gaps between the “blue” and the “red” waves in figure 2 can be done once perfectly, and then be kept in perfect condition for all periods of the oscillation. A circulation, as it occurs for the electron of the hydrogen-atom, produces one field-gap and one field-overlap for each turn. This makes the stimulation by this special zero-point-wave most efficient, whose frequency is identical to the frequency of the circulation. This “equality of both frequencies” (of the zero-point-wave and of the converter) is the condition for a resonant stimulation of the circulating electron by the corresponding zero-point-wave.

 

The calculation of the energy-levels in atomic physics from the fact, that the circulating electrons are supplied with the energy of the zero-point-waves, is the central topic of the theory of Stochastic Electrodynamics. This was published in numerous long publications, not only in Physical Review. In the article here, we see the same principle, demonstrated in less than five lines of formulas (for the example of the ground state of the hydrogen atom) – based on an independent and self-reliant consideration, independent from the formalisms of Stochastic Electrodynamics or Quantum Mechanics.

 

 

A further example, how the electron is supplied with vacuum-energy, is the electron as a source of an electric and a magnetic field. Easily understandable is the support of the magnetic field, which is produced because of the rotation of the electron around its own axis of symmetry. This rotation is also a periodic motion, which can be seen as the superposition of oscillations. The magnetic moment of the electron is (except for higher corrections of Quantum Electrodynamics [Köp 97]) known to be μ=e ?/2mE.

Let us now look to this magnetic moment from the point of view of classical Electro­dynamics, from where we know it to be μ=A•I , with A = cross section of the conductor-loop producing the magnetic moment and I = electrical current responsible for the magnetic moment. If we bring both expressions for the magnetic moment together, we can calculate the electric current

.

Taking the classical electron’s radius as value for the radius of the conductor loop, and calculating the electrical current as I = e/T (with T=duration for one turn), we can calculate the frequency of the spin of the electron. If we take additionally the fact into account, that the electric charge is regarded to be distributed homogeneously all over the surface of the electron (and not gyrating completely along the equator), we have to take and additional factor of 3/8 into account, and thus we come to the frequency

.

 

This leads us to energy of 

 

,

for the stimulating zero-point-wave.

This is less than what we found for the orbital movement of the electron around the nucleus, but it is plausible, because the spin of the very small electron of course needs less energy than the gyration along an orbit, which is by many orders of magnitude larger than the electron itself. Nevertheless, the spin of the electron is supported by electromagnetic zero-point-waves, because there is no other source of energy, which can supply the electron in order to give him the possibility to maintain his magnetic field.

 

The supply of the electron with zero-point-energy, which allows him to maintain his electrostatic field, is not yet understood, because it is not yet clear, where we find the motion and the oscillations, which are necessary to compress the wave trains of the zero-point-waves according to figure 2. There should be some zero-point oscillation of the electron itself, because the electron is also a particle described by Quantum-mechanics and by Stochastic Electrodynamics – and so it is not free from the zero-point oscillations of these theories. Here, some scientific work is still to be done. Nevertheless, it is sure that this supply is existing. This is clear on the one hand, because there is no other energy supply for the electron but the vacuum. And it is clear on the other hand from the verification experiment of [Tur 09].

 

In any case we see, that zero-point-energy converters improve their efficiency and power, as soon as the resonance frequency of the oscillating fields is increased. This is clear for magnetic zero-point-energy converters (which even can work as self-running engines) as well as for motionless converters. Central and most important aspect is always the frequency, with which the fields are moving, which are used for the conversion of the zero-point-energy. In order to optimize zero-point-energy converters, we should care about the following:

  1. High-frequency of the field
  2. Large number of particles, which take up the zero-point-energy
  3. Maximization of the overlaps and the gaps between the “red” and the “blue” zero-point wave trains, made by intervals with and without field being applied.

 

 

 

9. Hydrogen-Converters

 

From literature, we know several Hydrogen-Converters. These are zero-point-energy converters, whose principle is based on the electrolysis of water-molecules, namely by dividing water-molecules into hydrogen and oxygen with a COP of much more than 100% (see for instance [Alm 09], [Bro 10]). This means, that the amount of electrical energy to be spent for the electrolysis is much less than the amount of chemical energy contained in the produced isolated gases of hydrogen and oxygen. This can be interpreted as following: For every Watt of electrical energy, which is necessary to keep the electrolysis running, the process gains many Watts of chemical energy, which can be transferred into thermal energy by burning the hydrogen with the oxygen (into water), or which can be transferred into electrical energy by giving the hydrogen and the oxygen to a fuel cell. By this means it is even possible to build a self running engine, producing permanently classical energy according to figure 3.

 

 

 

 

 

Fig. 3: Flux of energy in a self-running electrolyzer, driven by zero-point-energy.

 

The mechanism of this type of over-unity water-electrolysis is still under discussion [Nag 10]. Already clear is: The electrons in the atomic shell of the hydrogen- and the oxygen- atoms play the crucial role, because the term of “electrolysis” requires the separation of the covalent (chemical) bond of the atoms. (Please remind here the sections 3 and 8 of the present article.) It is a matter of course, that from there I get my hypothesis about the functioning principle of the over-unity water-electrolysis:

If the electrons (which are supplied with zero-point-energy by nature in order to keep their orbits) can be oversupplied with zero-point-energy, it would be imaginable that they might be lifted into an excited state (an energy level above the ground state), from where they lose their covalent bonding, so that they will lose their capability to keep the hydrogen-atoms sticking to the oxygen-atoms. From section 8 we know, that high-frequency excitation gains zero-point-energy very efficiently, because the zero-point-waves of high frequencies carry a large amount of energy according to W=h•f. So probably it would be sensible to drive of the over-unity water-electrolysis with a rather high-frequency. But we do not expect, that the frequency will just simply increase the efficiency, because of the frequency of the excitation by zero-point-waves should be in the resonance with the frequency, which the bonding-electrons of the water-molecules needs to be lifted into an excited state. Maybe a good choice for a trial of the excitation-frequency could be the frequency, which is necessary to support the 2s-state of the hydrogen-atom, in order to lift the electron from the 1s-state to the 2s-state. This would be

 

 

This is not a low frequency, but perhaps it can be produced as a component of the Fourier-spectrum of extremely short pulses to the electrodes. Perhaps an alternative for its production might be an optical method (to produce UV-light of λ=c/f=182nm), but it is not clear, how an optical frequency can be brought to an electrode. Probably it is also sensible, to try not only this one frequency, but to try the complete frequency-range in the order of magnitude under discussion, because the covalent bonding of the hydrogen-atom to the oxygen-atom influences the energy-levels of the electrons.

 

 

10. Resumée

With the present work, the mechanism of the conversion of zero-point-energy has been found and explained. Its fundamental basics are presented here. Furthermore a computing-method is explained, according to which the functioning-principle of every zero-point-energy converter can be calculated. The method, let us call it “DFEM”, is based on the finite-element-method with a supplement of the propagation-dynamics of the interaction-fields.

 

This method is developed according to the following idea:

In order to convert zero-point-energy into any classical type of energy, there must be an oscillating (electric, magnetic or gravitational) field inside the converter, where the oscillations are working in such way, that they donate zero-point-energy to converter. This can be achieved by the following method:

Basic fundament is the fact, that the speed of propagation of the zero-point-waves (of the quantum vacuum) can be altered by an applied AC-field. This allows us to develop a clever pattern of fields, which produces gaps and overlaps between the zero-point-waves, where the gaps reduce the force of interaction and the overlaps enhance the force of interaction. We now can put electrical charges, magnets or ponderable masses into this periodically alternating reduction and enhancement of the force of interaction. And they have to oscillate in such special manner, that the energy-gain will be enhanced, whereas the energy consumption will be reduced (along a closed loop of motion), compared to the static conservative potential. Real engines will have to be constructed in a way, that this tricky motion excites the oscillation more and more, and the energy for this excitation dissipates from the zero-point-wave’s energy into the energy of the motion. By this means, the energy of the gained and can be utilized classically.

In order to underline this concept, examples from nature have been a referenced (as for instance the electron with its spin, or the electrons in the atomic shell) which are driven by zero-point-energy, which they get from the zero-point-waves of the quantum vacuum.

The very next step to be done is the realization of the DFEM-algorithm as described, into a very simple principle zero-point-energy converter (for which it is not yet important, whether it can be realized as a practical engine). This should not be very complicate. It has the sense to verify the concept of the DFEM-method.

But the large next step to be done is the realization of this DFEM-algorithm into a good software, for the systematic computation of the design and construction of zero-point-energy converters, which can be really be built up.

 

 

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Adress of the Author:

Prof. Dr. Claus W. Turtur
University of Applied Sciences Braunschweig-Wolfenbüttel
Salzdahlumer Strasse 46 / 48
Germany – 38302 Wolfenbüttel
Email: c-w.turtur@ostalia.de
Tel.: (++49) 5331 / 939 – 42220

 

 

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