How Do Space Energy Devices Work?

                                    An Explanation through Einstein-Cartan-Evans Theory

                                                                Horst Eckardt

                                    Alpha Institute for Advanced Study ( )


Newly developed energy devices seem to acquire energy “from nothing“. Their working mechanism is not
explainable through standard physics. In this paper we show how Einstein-Cartan-Evans theory is able to
explain the mechanism. Resonances of ambient spacetime are created to transfer energy from spacetime itself
to the devices, so that energy is con-served. The concept is applied to two main types of devices: electrical
solid state devices and magnetic self-rotating motors. The description is kept on a level requiring only
knowledge in vector analysis and basic differential equations.

1        Introduction

Today many attempts are being made to solve the world-wide energy crisis. Oil and gas will be available to
provide energy only for a limited number of years. The environmental problems caused by these energy
sources are enormous, in particular global climate warming is already an observable fact today. Therefore,
governments and environmental research groups are looking for replacements for such fuels. A wide range is
considered, from biologically generated fuel to solar and wind energy. It is a common feature of all these
replacement substances and methods that energy in the form of heat or electric power cannot be obtained in
sufficient quantities out of them. For example, one would have to cover huge land areas with solar cells or wind
turbines, which is not possible in industrialized countries. A basic solution of this problem has to be found but it
is still not in sight from the official research in energy techniques.

In order to face the energy crisis all possibilities for finding new energy sources have to be evaluated, even if
the success is not directly obvious from the very start. This is done, for example, with nuclear fusion reactors,
but many other areas are not being researched seriously. Among the latter is the so-called vacuum energy, and
a number of inventions which are considered as non-existent or fakes in the eyes of the official science
community. This is in misjudgement of the fact that the physical vacuum is known to be far from empty and to
have a high energy density. This possible energy source is presently ignored by the scientific establishment
because the physical basic principles for this are not sufficiently understood.

Meanwhile, however, a growing number of inventions has emerged whose mechanisms are not explainable by
standard physics. Some of them are being developed to production quality so that such alternative energy
devices will be commercially available in the near future. The question arises regarding why these devices are
able to create usable energy, apparently “from nothing”. Since conventional science cannot give an explanation
for these devices, inventors have to rely on suppositions which are, in the best case, physics-based ad-hoc
assumptions, or in other cases some kind of philosophical principles which lie outside scientific methods.

The dilemma is being resolved by the Einstein-Cartan-Evans (ECE) theory. This is the only known scientific
theory which is able to give an explanation of these devices on the basis of physics, by means of a sound
mathematical method. ECE theory is an extension of Albert Einstein´s general relativity, through the ideas of the
French mathematician Élie Cartan, developed around 1922. Myron W. Evans brought this into a final form in
2003. The unified theory results to be a new basis of all areas of physics. Existing fields such as quantum
physics and Newtonian mechanics emerge as special limits of the new theory. In addition, new mechanisms
evolve being hitherto unknown, in particular mechanisms for extracting energy from spacetime. The spacetime
takes over the role which in the past was ascribed to the vacuum.

According to ECE theory, energy can be extracted from spacetime without sacrificing energy conservation. The
mechanism is based on a resonant coupling of the device with the spacetime itself. This effect is described in
this paper where it is applied to two types of devices: electrical solid state structures and magnetic motors.
Details are found in the scientific papers [1] - [6]. In this article we try to spot the essential points and present
them on a level which is understandable for engineers.

2        Resonant Coulomb Law

Experiments with electric devices ([9]) have shown that extraction of energy from spacetime is possible. A small
input power can be enhanced up to a factor of 100,000. This effect, of energy extracted from spacetime, does
only appear in configurations where a certain resonance condition has been met. So for an understanding of
the process it is necessary to find possible resonances in the underlying physics. The structure of solids is
mainly determined by the Coulomb law, which describes the interaction between atomic nuclei and electrons, as
well as the electrons among each other. The electric field E of a charge density
ρ is determined by the Coulomb


where the field
E is the gradient of an electric scalar potential Φ:

 (2)                                .

These are elementary equations of classical electrodynamics of Maxwell and Heaviside and there is no
resonance, as is well known.

Now ECE theory comes into play. According to ECE, gravitation is curvature of spacetime and electromagnetism
is spinning spacetime. The curvature is described as introduced by Einstein in his theory of general relativity in
1915. This means that space is curved in presence of masses (or more precisely: energy distributions).
Consequently, Eucledian geometry cannot be used to describe a curved spacetime, Riemannian geometry has
to be used. Consideration of curvature requires a modification of differential calculus in Riemannian space: An
additional term called Christoffel symbol, or Christoffel connection, is required and added to the partial
derivatives which occur, for example, in Eqs. (1) and (2).

Electromagnetism is described by Cartan torsion as suggested by Cartan in 1922. This requires an additional
change in differential calculus. Instead of the Christoffel connection, the so-called spin connection is to be used
in order to describe spinning of spacetime adequately. This makes the equations which represent the laws of
nature “generally covariant”, i.e. they keep their form in any coordinate system, in a curving and spinning
spacetime. This is not the case for classical electrodynamics.

The formalism can be simplified [3] to a vector of spin connection ω which can be imagined to be an axis of
rotation in some simple cases. Since electromagnetism is spinning spacetime, we can apply now the Cartan
torsion to Eqs. (1) and (2). The first equation remains as is while in the second the spin connection term is to be
added to the partial derivatives (gradient operator):

(3)                                 ,

(4)                                  .          .

Inserting (4) into (3) gives


ω is a function of the coordinates in general. This is a generalization of the classical Poisson equation
which is obtained in the limit
ω = 0:

(6)                               .

In Eq. (5) we have arrived at a differential equation of the Bernoulli type, which is in one dimension:

(7)                                  ..

This is a well known equation of a forced oscillation with resonance frequency ω0 and damping factor α. And      
f(x) is the “driving force”. The difference with Eq. (5) is that here the coefficients are constant.

Eq. (5) can be rewritten in spherical polar coordinates. We assume ω and Φ to be spherically symmetric, i.e. we
consider only the radial coordinate
r. From the condition that (5) takes the form of (6) in the off-resonace case
(ω→0) one obtains that the radial component of ω has the form


and (5) can be rewritten as

(9)                                .

Assuming an oscillatory form of the charge density

with a spatial frequency (wavenumber)
κ, Eq. (9) can be transformed into an equation of an undamped
oscillator. Lastly, the non-constant coefficients are responsible for this behaviour. In Fig. 1 the resonance
curves are shown. The red curve describes an ordinary resonance according to Eq. (7) while the green curve
shows the resonance behaviour of Eq. (9) describing the resonant Coulomb law. It can be seen that more than
one resonance frequency occurs and the resonances are relatively sharp. These peaks are due to spin
connection resonance which is not present in Maxwell-Heaviside theory.

 Fig. 1: Resonance diagram of resonant Coulomb law

In order to obtain energy from spacetime, the Coulomb potential of atoms, molecules or solids has to be brought
to spin connection resonance. What happens to the electronic states of an atom is shown in Fig. 2. The energy
eigenvalues of atomic Hydrogen have been calculated in presence of a small oscillatory charge density serving
as a driving force. The resulting ECE Coulomb potential has been added to the proton core potential of the H
atom. It can be seen that all energy eigenvalues are shifted upwards at the main resonance. This means that
the valence electron is pushed out of the atom, becoming a free electron. In a solid this means that the electron
is lifted to the conduction band by resonance and becomes part of a current source which can do external work.


 Fig. 2: Resonance diagram of atomic Hydrogen

As we have seen spin connection resonance is obtained by applying a periodic charge density oscillation. The
wavelength has to be comparable to the atomic distances. Such charge density oscillations can, for example, be
evoked by spin waves in ferromagnetic materials. A detailed treatment of these effects requires application of
developed methods for solid state physics, for example Density Functional Theory.

At the end of this section let us recall the excitation mechanism for Coulomb resonance (Fig. 3). The oscillating
part in the mechanical driven oscillation is a mass, in ECE Coulomb law it is the electrical potential. The
restoring force of the spring corresponds to the spin connection, and the oscillating driving force is provided by
the charge density. In mechanics, a driven oscillation is an open system, the energy is transferred to the mass
by the driving force. In the ECE Coulomb case the charge density remains unchanged while energy is
transferred to the system (potential is increased). So this is also an open system as far as spacetime is not
considered. Ignoring this fact leads to the erroneous assumption of a system driven through perpetual motion.
But in the same way as a mechanical resonating mass is by no way a
perpetuum mobile, neither is the electrical
system under consideration. Energy is transferred from spacetime serving as an external reservoir in the same
way as a mechanical driving force delivers the energy. So energy is perfectly conserved.

 Fig. 3: Comparison mechanical – spin connection resonance

3        Magnetic Resonance Effects

Besides electrical spacetime devices, self-running magnetic motors have been constructed in a repeatable and
reproducible way ([11], see also Fig. 4, [11]). The functioning of these devices cannot be explained by Maxwell-
Heaviside electrodynamics. Again we give an explanation through ECE theory.

Fig. 4: Johnson magnetic motor [11]

As was described in the preceding section, the Cartan torsion of spacetime introduces the spin connection as
an additional quantity occurring in the laws of nature so that they take a generally covariant form. In particular
this holds for the magnetic field. In Maxwell-Heaviside theory the magnetic field B is connected with its
generating vector potential A by the relation

(11)                                .

In ECE theory this law has to be replaced in the simplest case by


where ω is the spin connection vector again. In the following we discern between the magnetic field of the
assembly and the magnetic field of the surrounding spacetime itself, denoted by BS. The torque
T acting on the
magnetic dipole moment
m of the assembly due to the external field BS is

(13)                               .

Under normal conditions there is no resulting torque because of BS = 0. Spacetime is force-free and does not
bear a magnetic field. So there is no rotation of stationary magnets. The situation becomes different if it were
possible to create a magnetic field from spacetime. In order to understand how this can be achieved we have
first to look closer on the fields of the surrounding spacetime. In case of BS = 0 it follows from Eq.(12) that


A is the vector potential of the spacetime itself. In contrast to Maxwell-Heaviside theory, this is no
gaugable quantity but is uniquely defined and has a physical meaning. In case of
A consisting of plane waves,
ω takes a special form and Eq.(14) can be expressed as


with a wave number
κB (see [6] for details). This equation is known as Beltrami equation in the literature [7]. It
describes a flow with longitudinal vortices (Fig. 5) where streamlines have a helical form. The nearer a
streamline is to the central axis, the more stretched is it and the faster is the flow velocity. In contrast to flows
which are described by the Navier Stokes equa-tion (as for air plane wings) there is no force acting on the
elementary flow volumes. In the case of ECE potential this means that there is no force field present, in
accordance with our prior assumption.

Fig. 5: Beltrami flow, taken from [7]

Taking the curl at both sides of Eq.(15) gives

(16)                     .

Applying the vector identity

at the left hand side of Eq(16) and assuming that
A is divergence free leads to

(18)                     .

This is a Helmholtz equation for the spacetime surrounding the magnetic assembly. Because of the assumption
of BS = 0 there is no torque on the magnets, they remain at rest. Torque can be created by disturbing the
Beltrami flow. For the Helmholtz equation (18) this means that the balance to zero is no more fulfilled. Assuming
a periodic imbalance leads to


with a vector
R having units of inverse square meters, therefore it can be interpreted as a curvature. κ is a wave
vector and can be interpreted as the frequency of a driving force which the right hand side of the equation
constitutes. If restricted to one coordinate (x) the equation reads

(20)                                    .

In comparison with Eq. (7)  it  can  be  seen that this is a differential equation for a resonance without damping
(α = 0). The resonant oscillation occurs in case
κ =κ B with Ax going to infinity. Because of violating the Beltrami
condition, A creates a force field according to Eq.(12), which via Eq.(13) creates a torque being big enough to
spin the magnetic assembly and to maintain the rotation. This is the mechanism how spacetime is able to do
work via a resonance mechanism.

In Fig. 6 this is depicted schematically. Fig. 6a shows a stator with Beltrami (force-free) flow of the spacetime
vector potential. The additional rotor magnets in Fig. 6b create vortices of spacetime which are enhanced by
spacetime resonance and evoke a force field according to Eq.(12).

In total we have shown qualitatively how energy can be obtained from spacetime via magnetic assemblies. This
could be the basis for development of an engineering for such devices.

Fig. 6: Schematic representation of spacetime vector potential for a magnetic assembly:
             a: magnet stator without rotor magnets, Beltrami flow
             b: magnet stator including rotor magnets, flow with vortices (force field)

4        References

[1]        Introductory documents on ECE theory on .
[2]        M. W. Evans, “Generally Covariant Unified Field Theory” (Abramis 2005), vol. 1-4 .
[3]        M. W. Evans and H. Eckardt, “Space-Time resonances in the Coulomb Law”, paper 61 of the ECE           
series on
[4]        M. W. Evans and H. Eckardt, “The resonant Coulomb Law of Einstein-Cartan-Evans Field Theory”,
paper 63 of the ECE series on .
[5]        M. W. Evans, “Spin Connection Resonance (SCR) in magneto-statics”, paper 65 of the ECE series on .
[6]        M. W. Evans and H. Eckardt, “Spin connection resonance in magnetic motors”, pa-per 74 of the ECE
series on .
[7]        D. Reed, “Beltrami vector fields in electrodynamics – a reason for reexamining the structural foundations
of classical field physics?”, Modern Nonlinear Optics, Part 3, Second Edition, Advances in Chemical Physics,
Volume 119, edited by Myron W. Evans, John Wiley and Sons, 2001 .
[8] .
[9]        G. Kasyanov, “Phenomenon of electrical current rotation in nonlinear electric systems, Violation of the
law of charge conservation in the system”, New Energy Tech-nologies, 2(21), pp. 28-30, 2005 .
[10]        Johnson permanent magnet motor, US Patent 4151431, 1979 .
[11] .