PARTITION OF VACUUM ENERGY REMOVES THE LAST VESTIGE OF ACTION AT A DISTANCE. Curvature of space is replaced in General Relativity, by a departure from equal partition in the Zero Point Energy. Then all of the properties at a point in space are defined by local variables of things that can be locally measured. Action at a distance propagates through space by altering the partition function of the Zero Point Oscillators.

Equal partition only applies in flat space where there is thermodynamic equilibrium. When space is not flat, then the partition is not equal and the Zero Point oscillators are not in thermodynamic equilibrium.

Refer to Johannes previous article from 25 May 2009

http://www.scientificblogging.com/hammock_physicist/holographic_dark_uni...

with my reply from 15 October 2009

"The only known way to have large energy that does not curve space was published by Peter Bergman. He published a famous book “Introduction to the Theory of Relativity” reprinted by Dover in 1976. On page 206 in equation set 13.34 a solution to Einstein’s field equations predicts that electromagnetic energy counteracts gravity in curvature of space (grs) and time (g44)"

and my reply from 18 October 2009

"EQUAL PARTITION OF VACUUM ENERGY unifies cosmology with quantum mechanics, putting an end to 'the biggest embarrassment in theoretical physics'."

The reader should realize that Johannes has taken the lead in public information about a very important advancement in science that is taking place now.

Equal partition is not the beginning or end of this story. In fact it is Chapter 4 in my new book on this subject RADIANT GLORY THE POWER OF CREATION, that was registered with the US Copyright Office on 24 December, and published that same day to a limited number of people. Thanu Padmanabhan published his paper 4 days later with a different treatment of the same topic.

Johannes’ readers had a preview in October.

Here is a short preview of the next steps in partition of vacuum energy. From Chapter 21 of my new book

“Equal partition of vacuum energy was covered in a previous chapter. In this chapter the unequal partition will be developed in a similar way. The commonly used Z partition function will be applied to the division of total vacuum energy between gravity potential energy and electromagnetic potential energy in zero point oscillators to show how the properties of space change under stress.”

“For the unequal partition case this chapter will make use again of the text book by Peter Bergmann. He wrote the first text book on general relativity Introduction to the Theory of Relativity reprinted by Dover in 1976. As was done before in the chapter about equal partition, this chapter will make use of Bergmann's equation set 13.34 on page 206 in a solution to Einstein’s field equations. Bergmann's reporting of results from before 1920 predicts that electromagnetic energy counteracts gravity in curvature of space (grs) and time (g44).”

“When the same principle is applied to vacuum energy, VE there can be enormous energy in space with a small cosmological constant and little curvature. All that is necessary is that the zero point energy must be nearly equal in partition between electromagnetic potential and gravitational potential, giving ½(1-Z)hf energy to Gravity potential, and ½(Z)hf energy to electromagnetic potential.”

“A semi classical deterministic model is constructed of virtual particle pairs each of virtual mass m, that may be uncharged or electrically charged with virtual ± q. This model describes an average action per oscillator over a group of 30 or more oscillators to avoid the quantum wave functions and probabilities that apply to single oscillators.”

“Gravitational energy oscillates between two states, potential and dynamic. There is gravitational potential energy when the virtual pair is separated by one wave length, and dynamic energy when the pair recombines at a center point. All measurements are made in curved space.

(21.1) m^2G/λ = 2mc^2 = ½(1-Z)hf part of the zero point energy,

(21.2) λf = c

(21.3) m^2 = ½(1-Z)(hc/G)

(21.4) h^2 f^2 = (8/(1-Z)) hc^5 / G

(21.5) f^2 = (8/(1-Z)) c^5 / hG the frequency squared,

(21.6) λ^2 = ((1-Z)/8) ( hG / c^3 ) the wave length squared.

The other part of the zero point energy is represented by an LC electronic oscillator that exchanges energy between virtual static electricity and virtual magnetic fields, using the same frequency and wave lengths as the gravitational energy.

(21.7) q^2 / m^2 = 4π ε G where m is given in equation (21.3)

(21.8) q^2 = 2π (1-Z) ε h c the absolute value of charge squared.

The capacitance C is defined by

(21.9) ½ (q^2 / C) = ½(Z)hf maximum capacitor energy

(21.10) C = q^2 / Zhf = 2π((1-Z)/Z) ε λ = (2π)^2 ((1-Z)/Z) ε λ / 2π

The inductance L is given by

(21.11) L = (1/4π^2)(Z/(1-Z)) μλ / 2π = (Z/(1-Z)) μλ / 8π^3

Reactive impedance is given by

(21.12) SQRT(L/C) = (Z/(1-Z))( SQRT(μ/ε) )/ 4π^2

Energy density in vacuum space is calculated as energy U per unit volume V.

(21.13) U/V = ½hf ^2 / λ^2c

(21.14) U/V = ½(8^2/(1-Z)^2) c^7/ hG^2 a very large energy field.

(21.15) UEM/V = ½(8^2Z/(1-Z)^2) c^7/ hG^2

(21.15) UG/V = ½(8^2/(1-Z)) c^7/ hG^2

Poynting power flow forward and backward in all four dimensions at the same time is given by

(21.14) S = ½(8/(1-Z)^2) c^8/ hG^2 a very large energy field.

(21.15) SEM = ½(8Z/(1-Z)^2) c^8/ hG^2

(21.15) SG = ½(8/(1-Z)) c^8/ hG^2

These results can be compared to those in chapter four. The calculated vacuum energy in this chapter, as before in equal partition of chapter four, is very large but not infinite. It is strong enough to hold the properties of space nearly constant everywhere except when over powered by the gravity of a black hole, neutron star, or a very powerful electromagnetic energy source. Calculations of this type have been done since the time of Paul Dirac, with the addition in this model of the partition function between electromagnetic and gravitational potential to give a nearly flat space “

The next topic in Chapter 22 continues the partition function development as a local rapid variable relating gravity and light speed leading to a prediction of accelerating galaxies and a description of how the properties of space change under stress.

“This energy partition function Z supports the Dirac sea of energy concept. Gravity and light compete for vacuum energy to support their field strength and continuous propagation of fields through space. At the edge of a black hole general relativity predicts that space is curved into a circle such that light cannot escape. The best alternative to that is this model where the speed of light decreases and approaches zero at the event horizon, but is very nearly constant in the place where we live.”

“It can be argued that the gradients in properties of space must be locally determined by local variables, even if the cause is located some distance away. Then G and c must be locally described. When c*, G*, r* are measured in distant flat space, local light speed, gravity, and acceleration are given by:

(22.1) c^2/c*^2 = 2Z where Z is the electromagnetic fraction of vacuum.

In this way the action at a distance c* is replaced by a local variable Z to describe curvature.

(22.2) G/G* = 2(1-Z)

(22.3) G/G* + c^2/c*^2 = 2

It is argued that light speed c and gravity G must be variables, because an infinite amount of vacuum energy would be required to keep them completely constant. It means that c and G are constant in flat space where equal partition occurs, but c and G vary with Z in curved space.

(22.4) d(c^2)/dr = 2(1-Z)g = 2c*^2dZ/dr

(22.5 ) dG/G*dr = - d(c2)/c*^2dr = - 2(1-Z)g/c*^2

(22.6) dG/Gdr = - g/c*^2 = d Ln(1-Z)/dr

(22.7) g = MG/r^2 - g0

Parameter g0 is the antigravity of distant space between clusters of galaxies. The g0 is antigravity of background microwave and other electromagnetic radiation in space related to δ in chapter five.

(22.8) (g + g0) / g0 = (G/G*)/(r*^2/r^2)
= ( 2-c^2/c*^2)/(r*^2/r^2)

(22.9) g0 = MG*/r*^2

The use of g0 as a local parameter removes the action at a distance from acceleration calculations. Flat space occurs where gravitational and electromagnetic fields are equal. In the equal partition model of chapters four and five, there were different factors multiplied by g, that were small in nearly flat space, but large near an event horizon. In this model the partition function Z replaces the other terms.

Light speed and gravity are related by a set of field equations nearly the same as in chapter five.

(22.10) δ = g0r*/c*^2 = MG*/r*c*^2

(22.11) (c^2/c*^2) = ( 1 - MG/rc*^2 + δ ) = 2Z

(22.12) (G/G*) = ( 1 + MG/rc*^2 - δ ) = 2(1-Z)

(22.13) Z = ½ ( 1 - 2MGZ/rc^2 + δ ) for c greater than zero

Using a linear partition function Z for vacuum energy causes G to approach 2G* near the event horizon when light speed is zero. A series expansion gives the substitution of G* for G with the same form as in chapter five.

(22.14) c^2/c*^2 = (1 - 2MG*/rc*^2 + δ ) /( 1 - MG*/rc*^2) = 2Z

(22.15) G/G* = (1 - δ)/(1 - MG*/rc*^2) = 2(1-Z)

(22.16) d(c^2)/dr = 2(g + δc*^2/r)(1-Z)/(1 - δ) = (g + δc*^2/r)/(1 - MG*/rc*^2)

(22.17) d(G)/dr = - (g/c*^2 + δ/r)G/(1 - δ) = - (g/c*^2 + δ/r)G*/(1 - MG*/rc*^2)

(22.18) gr*/c*^2 = MG*/r*c*^2 - δ describing flat space when g is zero.

(22.19) d(gr/c*^2)/dr = - (g/c*^2 + δ/r)(G/G*)/(1 - δ) = - (g/c*^2 + δ/r)/(1 - MG*/rc*^2)

(22.20) dg/dr = - g/r - 2dc^2/dr^2

(22.21) gr/c*^2 = MG*/rc*^2 - δ describing curved space when g is not zero.

(22.22) d(gr/c*^2)/dr = - (g/c*^2 + δ/r)(G/G*)/(1 - δ) = - (g/c*^2 + δ/r)/(1 - MG*/rc*^2)

(22.23) dg/dr = - g/r - 2d(c^2)/d(r^2)

This model can be calculated and tested with the same data as the version in chapter five. Space properties vary in the same model as chapter five:.

(22.24) h/h* = q^2/q*^2 = (c^3/c*^3)/(G/G*)

(22.25) f^2f*^2 = g/g* = (c^2/c*^2) = 2Z

(22.26) m = m*

(22.27) λ = λ*

(22.28) μ/μ* = ε/ε* = c*/c

(22.29) μ/ε = μ*/ε* invariant in curved space of general relativity.”

The above method was simplified for the level of a high school science student. It can be more elaborate and probably will be in other writings. This version predicts in Chapter 23 that the local neighborhood of galaxies creates flat space at a distance of about 35 mega parsecs from the mass center. Beyond that distance the antigravity of the electromagnetic radiation curves space backward and pushes clusters of galaxies apart.

My book has other chapters on gravity induction, field effect engines, and response of the Vacuum to the borrowing of energy from it.

The thermodynamic functions Johannes presented make an interesting exercise, and I believe they are relevant to the topic, but they require the measurement of very small temperature differences in space, where many other radiant heat sources are interfering with the measurement.

In my method the important variables are directly measured in ways that resist interference from other factors.

You saw it first on Johannes’ page, and 2 months ahead of the competition.

In string theory if the strings represent the wavelengths of the Zero Point Resonators, and the virtual particles of Vacuum Energy represent the nodes of string theory, then there is a way to unite string theory with general relativity.

That doesn’t answer the question about what medium contains the strings or the Zero Point Oscillators. A clue is found in string theory, where 10 dimensions or 26 dimensions are required to describe the different versions.

If the strings and wave lengths are the intersections between different dimensions in the several string theories, then there is a path forward toward describing the medium in which the Zero Point resides.

HOLOGRAPHIC UNIVERSE REPRESENTS THE OPINION THAT ZERO POINT DOES NOT ACTUALLY CONTAIN ALL OF THE ENERGY THAT IS CALCULATED FROM THE PROPERTIES OF SPACE. Holographic in this sense means that each oscillator in Vacuum Energy is only an image through a view port of all the energy in the universe. In this representation the tiny oscillators do not have to actually contain such enormous energy. They can borrow as much energy as they need at any moment from any place in the universe including forward and backward in time. The consequence is that any oscillator that has been challenged was found to have as much energy as it needs to enforce the laws of nature.

In my replies I presented the case for non holographic universe, and still prefer that point of view as a more likely vehicle for creation of the universe. With holography there is an energy shortage in the big bang.

A majority in science is moving toward the holographic point of view, and to avoid the inquisition I can fit my model of energy partition into that small container. Taking the method of Copernicus instead of the method of Galileo, my model could simply describe what appears to exist, not the reality of what is actually existing. Then the partition function could describe the size and shape of the view ports instead of the energy partitions of space. In this case near a black hole, the gravity is strong enough to close the electromagnetic aspect in the view port and open the gravitational aspect. Mathematics is able to do these things even if they don't really happen in nature.

The continuing difficulty I have with the holographic universe as it relates to black holes, is that to support that theory a great many Zero Point oscillators must each have already borrowed all of the energy in the universe including the future and past energy, for use in different places all at the same time. Mathematics can do that too.

A more realistic point of view is that holography only provides enough energy in the whole universe to support the curvature of space in the vicinity of one black hole.

I offered a very simple explanation from a well respected source quoting the page and equation number, that eliminates the need for a complicated holography to reconcile General Relativity with Quantum Mechanics.

Then I remembered that Peter Bergmann did not repeat that equation in his later book about Gravity.

If the universe is not holographic, then there is a power in space that is too dangerous to use on Earth. In Space it is the only source of power strong enough to take us to the stars.

So the debate is really about whether or not we can ever travel to the stars. I have the opinion that we can,

........ or some of us can, and some of us can't.

A new article in the Dutch newspaper "de Volkskant" on Januari 2, 2010 says that Erik Verlinde occuses the Indian physicist Thanu Padmanabhan of plagiarism. He claims that the professor would have copied some formulas from a web log and has presented it as his own work on Arxiv.org.

As I wrote on the other posting, Padmanhaban is repeating Jacobson's work since 15 years, and almost never cites him. His papers are confusing, his ideas copied; so the new accusation fits well in what he is doing since many years.

ONE OF THE MOST MASSIVE NEUTRON STARS SHOULD NOT BE GREATLY DIFFERENT FROM ONE OF THE LEAST MASSIVE BLACK HOLES. Science describes the two objects in completely different ways and by completely different technologies. The reader is faced with a dilemma of how to describe the conversion of the neutron star into the black hole by the addition of one small mass.

For example a small stone could find its way into a massive neutron star, with just barely enough additional mass to convert it into a black hole.

Neutron stars are well described by quantum mechanics and the degeneracy of neutrons. Black holes on the other hand are highly speculative and described by general relativity that is known to have serious defects in highly curved space.

A neutron star has entropy that is calculated from the predictable contents inside the volume of the star. A black hole in Einstein's field equations has an event horizon that encloses no volume, and contains nothing except one singularity no matter how large the surface area is on the event horizon. The entropy of the black hole is claimed to reside on the event horizon along with all of the mass and all of the information about what fell onto the event horizon.

It is really not acceptable that one small stone with its feeble gravity and little energy could make a catastrophic change from one large physical system to another large physical system.

If the reader disagrees, then consider the reverse case where a tiny amount of antimatter is sent into a black hole that has no mass to spare. Is the neutron star regenerated or do we get a nova?

In either case there are other questions about what large scale physical process must be caused by the small scale incremental amount of antimatter to convert a black hole into any other type of star.

The answer is that Einstein’s general relativity fails to satisfy the boundary conditions imposed by the structure of super massive neutron stars. Einstein’s mistake in his equivalence principle causes the 4 dimensional space time to be compressed into only 2 dimensions at the event horizon. Two dimensions are the most that can be described by the equivalence principle in highly curved space.

You can’t fall into an Einstein black hole. It doesn’t have a physical inside. You just get mashed flat on the event horizon. A singularity is not a physical object. It is only an abstract mathematical location in space.

Holographic universe theory is an elegant and important milestone in physics, built upon the shaky foundation of one mistake piled upon another. The Hologram is a 2 dimensional image of a 4 dimensional universe, resulting from field equations that cannot describe more that 2 dimensions near a black hole.

IF TIME TRAVELS BACKWARD INSIDE A BLACK HOLE, IS THERE SOME WAY TO TRAVEL FORWARD IN TIME? Science is not well advanced on this topic. The time reversal in a black hole is fairly well supported by mathematical models. Time advancement fast forward is not as well supported, except by analogy.

In the partition of vacuum energy the gravitational curvature of space is replaced by a shift in the partition function such that space has no remaining electromagnetic potential at an event horizon. The reverse can be applied to tempo advancement in forward time.

The resulting mathematical model predicts that backward curvature of space or an excess of electromagnetic potential over gravitational potential of the vacuum energy, increases the tempo of forward time.

In previous messages a gravity induction was predicted from interference of electromagnetic waves in which the Poynting vectors were conserved. Interference patterns predict an increase in the tempo of time when the Poynting vectors are also canceled out by wave interference.

That means if two or maybe four radio wave sources are directed toward each other with equal amplitude, frequency, and phase of a standing wave, then the space between the transmitters is advanced forward in time faster than the other nearby space. It is a theory in the early stage of development.

All of these things require a very large amount of energy that has already been calculated from a small extension of well known science.

Vacuum energy is the only power source great enough to run any of theses machines.

So if the universe is Holographic, there is no power supply for time travel or star travel.

The Holographic argument is vital to human development. Johannes has chosen the best topic at a critical time.

Holography tells us that our universe will die and there is nothing we can do about. It tells us we can never travel to the stars or go forward or backward in time. Holography is just another way to say we are hopelessly stuck with our present situation and should make the best use of what time we have left.

These arguments have been around since 1920, and are repackaged occasionally.

The paper by Verlinde is out:

http://arxiv.org/abs/1001.0785

CONSIDER TWO CONCENTRIC HOLOGRAMS IN SPACE ONE PLANK LENGTH APART. THE INFORMATION OF THE SURFACES DIFFERS BY THE ENERGY STATES OF EXACTLY ONE ZERO POINT OSCILLATOR PER PLANCK AREA. Considering the ZPE to be described by an eight pole harmonic geometry and spin of four, the holographic information is encoded by the oscillator frequency and the ratio of virtual charge to virtual mass as they relate to the degrees of freedom and the approach to thermodynamic equilibrium. In this representation the hologram becomes the observable quantity of a generally unobservable probability distribution from quantum mechanics, somewhat like the real part of a complex data set.

For a small sub region in space that contains a stable non symmetrical curvature, but no real mass or electric charge, it is arguable that the total energy within the boundaries is a constant, and the total energy density is also constant over the volume, but the curvature information is expressed by a partition function that describes the frequency of the oscillators and the and the distribution of virtual electrical charges or absence of charges on the virtual masses of the eight pole resonators.

First it must be said that the gravity in this example is not a scalar field potential like so many writers claim. The gravity has a magnitude and direction at every location, making it a manifold of tensors on the sub space region. The zero point oscillators have to remember all of that information.

Next it should be realized that the ZPE hardware has substantially more data processing capability than is required by the software to support a holographic segment at the edge of the sub region in this simple. example. The ZPE has a four bit binary code among the virtual particle pairs determined by charged or uncharged pairs. Added to that data is the oscillator frequency that remembers the total energy of the eight pole oscillator. The four bit code tells how the total energy is partitioned into different types of energy.

At this point it should be realized that a much larger super region could be taken as an example to contain all sorts of physical objects with far more information than the ZPE can process on a holographic surface. Then a conclusion is preferred that the holographic surface does not actually contain all of the information about everything that is contained within the surface, and it has no real physical need to do so. All the hologram needs on the Planck scale is the total energy per oscillator and the net thermodynamic entropy representing the curvature in four dimensions.

This short description shows how the ZPE relate to the Holographic Universe, the propagation of information over long distances, and the partition of energy between gravitational and electromagnetic energy states.

A prediction is made that the presence of a rest mass causes the shifting of ZPE potential from electromagnetic to gravitational forms by a decrease in the ratio of charged to uncharged virtual pairs.

Degeneracy of the ZPE occurs at an event horizon where there are no charged virtual pairs, and no degrees of freedom. Light does not propagate because the degenerate ZPE has no electromagnetic potential.

The question then arises about what happens if a beam of electron is sent into a marginal black hole. The early work of Peter Bergmann suggests that a large number of electrons can counteract gravitational curvature and open the event horizon, at lest enough for a a burst of beta rays to come out. A smaller number of electrons distribute over the degenerate ZPE to restore some portion of the electromagnetic potential. In this representation a collapsed star with an electrical charge can never be completely black.

The conclusion is made that a hologram does not have to carry the total information of its enclosed area, only the net information for each type of energy. A hologram does not need to know if it encloses a marginal black hole or a marginal neutron star or the history of the two objects or how much space is enclosed. It only needs to know the net curvature and the net electromagnetic field expressed in one ZPE oscillator per Planck area. For that there is always enough data processing capacity.

Sunu Engineer wrote: "It is ridiculous to claim that a person like Prof.Padmanabhan – a physicist of international repute who was working in this field for nearly seven years and has written numerous reviews and given several plenary talks all over the world - has to base his paper on the brief expostulation of the simplistic equations on a blog and reported in a Dutch newspaper."

It wouldn't be the first time a long time researcher has speed-published his views once a general idea is known; in this case Verlinde's talk was December 9, 2009.

On the Origin of Gravity and the Laws of Newton
http://arxiv.org/abs/1001.0785
Submission history
From: Erik Verlinde P [view email]
[v1] Wed, 6 Jan 2010 20:45:59 GMT (504kb,D)

Equipartition of energy in the horizon degrees of freedom and the emergence of gravity
http://arxiv.org/abs/0912.3165
Submission history
From: T. Padmanabhan [view email]
[v1] Wed, 16 Dec 2009 15:36:40 GMT (6kb)
[v2] Mon, 28 Dec 2009 08:52:12 GMT (9kb)

So, Sunu Engineer's hypothesis that Prof. Padmanabhan did not have to base his paper on "the brief expostulation of the simplistic equations on a blog and reported in a Dutch newspaper" is not needed. There were probably enough initiated folks at Verlinde's lecture to inform Prof. Padmanabhan about the general ideas. And, I am sure that Prof. Padmanabhan is sufficiently well acquainted with the topic in order to generate the article published December 16, 2009 one week after Verlinde's talk. In fact, I find it symptomatic that he has corrected some details, two weeks later. That detail indicates it was not the result of seven years work, rather seven frantic days.

However, these are pure speculations from my side, and I am sure we will get to know most details in the end. Due to the scientific impact, it may be nastier than any one would care for.

Gents,

Prof. Verlinde has added a discussion to his webpage to clarify the logic of his paper, since it has been misunderstood and misrepresented in blog reports. Please take a look:

http://staff.science.uva.nl/~erikv/page18/page18.html

It might answer some of the questions.

DEPARTURE FROM EQUIVALENCE MUST BE EXPRESSED IN THE HOLOGRAPH TO GET A CORRECT VIEW OF GENERAL RELATIVITY.

Thanks to Bob Brand for the notice of Verlinde's explanation. It shows a better explanation of partition.

I apologize for the typo mistakes of mismatched fonts in the previous message. A commotion in my office caused a posting before it was ready. I would like to attribute it to some random anomaly in the vacuum power 200,000 megawatts that circulates to support the gravity that holds me in my office chair, but in fact there is a known cause.

Here is the correction, although the discussion has moved on to other pages.

Albert Einstein expressed equivalence in a way that is usually described in Newtonian form. mechanical acceleration is given by:

(F.1)....... Fa = ma

Gravitational acceleration is given by

(F.2)....... Fg = mg

Einstein equated the two forces to get a basis for his general relativity, claiming that a local observer could not tell the difference.

(F.3)....... a =?= g

Mechanical acceleration can have any arbitrary function, but was given as a constant in Einstein's example, making equation (F.3) false.

(F.4)....... a = gs

The best agreement for (F.3) occurs when there is no mechanical force, then equation (F.3) is true for the mass center, but not for each part of the test mass, leading to small scale measurable departures from equivalence even in the best circumstances, except when the system is described by two dimensions or less and radius is constant.

The statements (F.3) and (F.4) are not generally true and cannot be rigorously constructed for a system of three or more dimensions. Newtonian gravity is given by

(F.5)....... g = gsrs^2/r^2

and gravitational acceleration is not constant with changing radius. This equation is not relativistically invariant. A differential form is required for invariance. Define a differential as:

(F.6) ....... g' = dg/dr ........ and

(F.7) ....... g'' = dg'/dr

Then local gravity changes by:

(F.8) ....... g' = -2g/r ......... and

(F.9) ....... g'' = -3g'/r

The radius must be eliminated for invariance.

(F.10) .......r = -g'/2g = -g''/3g'

Invariant local gravity is given by

(F.11) ...... 2gg'' = 3(g')^2

In this form the local gravity is relativistically invariant, and can be extended to transformations of coordinates for the Newtonian inertial frame. Instead of using equation (F.3), the requirement for transportable Newtonian gravity is met by four equations:

(F.12) ...... g = 3(g')^2/2g''

(F.13) ...... g' = 4(g'')^2/3g'''

(F.14) ...... g'' = 5(g''')^2/4g''''

(F.15) ...... g''' = 6(g'''')^2/5g''''' ...... all of which are non trivial.

Equation set (F.12) to )F.15) are repeated for acceleration in each of the four dimensions in which there is a gravitational component. The sequence actually continues for higher dimensionalities, but ends here for a four dimensional reference frame.

From these equations is shown how unlikely it is that gravitational acceleration can ever be equal to mechanical acceleration for any real test mass. The closest agreement occurs for a microscopic test mass when there is no mechanical acceleration

Newtonian must be replaced with other functions when the space is not very nearly flat.
Einstein's field equations are not completely correct either for any situation except for no mechanical acceleration in flat space. For any mechanical acceleration in a gravitating field the stress energy tensor of Einstein's field equations is in error by a factor related to ( g - a ). To describe strongly curved space the vacuum energy must deviate from equally partition.

A partition function can be derived from the previously mentioned equation.

(22.7) .......g = (MG/r^2 ) - go ........where go is the antigravity of deep space.

The related partition function for electromagnetic potential in the Zero Point field is

(F.16) .......Z = 1 -½ ( g + go ) r^2/MG* ........where G* is measured in flat space.

At the boundary condition of flat space
(F.17) ....... MG* = go (rF)^2........where rF is the distance from mass center to flat space. in flat space.

Equation (F.16) becomes:

(F.18) .......Z = 1 -½ ( g + go ) r^2/go (rF)^2

This is not relativistically invariant. A differential form is required for invariance.

From the previous equations:

(22.1) ..... c^2/c*^2 = 2Z ........ and

(22.4) ...... 2c*^2dZ/dr = 2(1-Z)g .........where c* is measured in flat space.

The invariant differential form is

(F.19) ...... Z' = 2Z(1-Z)g/c ...... with all locally measured quantities.

Holographic theory will have to express a corrected general relativity with departure from equivalence if it is going to advance from the flat space in which it presently resides.

All of you are correct, from a real point of view in this aniostropic, observer dependant universe. The electrical entity is planer or 2-D by all accounts but our senses experience 3-D and our calculation carry us to many orders of dimension more (only 9 apply to material existance however). All this
from a singularity. In the end there remains only the singularity, all else are our perceptions at play. Consciouness is before matter, matter is made of energy, a non-material entity. Energy can be subtle acoustical or intense enough to emit light. Phonons and photons are simply entities on a continuum of energy that is either subtle or excited. Phonons are inverse to photons in magnetic property only because of subtle vs excited condition. Matter either absorbs or emits light, is either over 1,000 K or below but non-zero.

Before creation zero point was at zero K, now that condition is forbidden on a universal scale. Information is distributed just as charge and vibration/magnetism are distributed. Sub-space aether connects all things, it is a liquid crystal spin ice entity. I will provide proof of concepts in my book The Next Paradigm Shift. Physics, Consciousness and the Evolution of Humankind. Owing to sine, cosine interferance we have referance and interferance conditions between conscious intention of creator and each entity. Thus all things participate in self reality. Action at a distance owes to Prime referance as first condition, all cross that condition to animate into reality. Reality is shared, we all contribute, we all share in consciosness of the singularity, the precondition of all things. Put down your calculators and open your minds, your so called third eye frontal cortex. In you lies the ability to absorb what you really are. Matter has no hold on us, we have hold on it! Only our thinking makes it seem otherwise. I am willing to be tested. I have seemingly superhuman abilities but really we all have this. Lack of conviction is all that keeps us from commanding physics. Our minds and bodies attenuate or cancel the forces of nature. We can also align with any entity and either speed it up or slow it down. I learned the hard way there are thermal consequences to the flesh but it was worth the proof of concept.
You are all correct in part. The whole of it owes to layered realities in the aether. Aether wells are evenly spaced above, below, left, right. Planer is real quality of charge but there are more planes above and below (I have seen this in a vision). Charge passes from below upward, breaks at top of plane then reached down to catch next rising cycle in a lovely fluid motion. So much to tell only a book will do.
Peace fellow seeker, this will all be clear soon, no need to compete, all are valid either in a plane or in mutidimensional frame.