Two Dimensional Universe, the Holographic principle

[Gary Anthony]

Postulate: The holographic principle regards the surface of a black hole as being much like a hologram wherein resides all the information concerning every speck of matter that has ever fallen through the event horizon. The only thing that gets through the event horizon are wave/particles representing mass/gravity, charge, magnetic field and rotational momentum. A pristine, unadorned black hole is thus termed "bald"; it has "no hair" according to the "no hair theorem".

A number of papers have been written suggesting that the universe itself may be an impression engraved upon the surface of an ultramassive black hole. It is therefore a two dimensional entity. It acquires a third only by virtue of time. Once all matter in the universe has collapsed into the singularity of the black hole, being stripped of its identity as it passes through the event horizon, Kepler's laws are upheld so that, not only does the singularity "contain" infinitely dense matter, it contains infnitely large spin momentum of the Einstein fluid nearer the singularity. The Einstein fluid must behave like other fluids in that its momentum decreases from infinity as one's view shifts outward from the singularity.

The Einstein fluid is a frictionless continuum that does not itself have mass . Only the distortion of its shape to diagramatically resemble an infinitely deep whirlpool in gravitational strength makes it transform to a two dimensional entity. By Kepler's 2nd law, This gravitational field species is itself a two dimensional entity, consistent with the holographic principle. It is immune to the event horizon. From outside the event horizon it appears like an infinitely broad two dimensional disk. This field, eminating only from matter that has already fallen through the event horizon, constitutes a two dimensional gravitational field that is composed largely or completely of naked "relativistic drag" having the shape of an infinitely large, thin, 2-D platter.

Question: what would be the true overall shape of this nominally "flat" 2-D platter in the gravitational field strength diagram? If 2-D is enforced would Newton's law of universal gravitation be extendable to the 2-D case? What would be the form of any 2-D Newton's law? Would this effect the form of Kepler's law? What would be the consequences of the ability of this 2-D gravitational field platter to penetrate the event horizon and extend to the farthest edge of a galaxy? What would be the consequence for the M-sigma effect? The anomolous velocity dispersion effect?

This is a word description. It is therefore imprecise. Logic can still be applied, however. If definitions need to be changed to fit the idea, so be it. As an expression of a postulate, one does not argue with it. One gives it the benefit of the doubt and then one must see where it leads. It may lead nowhere. This is as good a destination as any.

[Gary Anthony]

I must mention that a two dimensional gravitational field will be normalizable and therefore it will be treatable under quantum mechanics. Everything in our 3-D universe can be represented in a 2-D hologram-like image engraved on the event horizon quasi-surface of our universe's ultramassive black hole. Quantum processes need only be reduced to 2-D if they may involve gravity. When the calculation is completed, it may then be transformed back to a 3-D representation...

No worry.

Why the fuss over quantum gravity, M-theory and quantum supersymmetry?

[nameunknown]

The unavoidable black hole singularity always lies on the future light cone, whereas astronomical observations strongly indicate a hot Big Bang in the past, no present singularity (unless its outside of the observable universe) and an increasing rate of expansion due to "dark energy". I suppose one could get the singularity into the future by arguing that the universe isn't actualy expanding but that everything in it is shrinking....(quite slowly now, after an early episode of "deflation"), but that would lead to a plurality of singularities...

P

[Gary Anthony]

Nameunknown, wherever or whenever it may be, our universe's event horizon is a quasi-surface like the event horizon of a black hole. As a 2-D + time surface having etched on it complete hologram-like information about the whole 3-D universe, it could be amenable to a quantum treatment of gravity because in 2-D, gravity is renormalizable, a prerequisite if it is to be merged with other quantum phenomena. Of course we wouldn't try to handle the whole universe this way, we would mathematically define a tiny part of it and apply our new theory of quantum gravity to this. Then, we would project the 2-D (+t) image of the result back into 3-D (+t) reality to achieve a final answer. The idea is, in order to include gravity in quantum calculations, we should reduce dimensionality to 2. Of course, in 2-D, gravity must decline as 1/r. A problem encountered when trying to calculate the quantum effects of gravity on small particles is that when r gets very small, gravity gets too strong. When distances become much less than a unit in magnitude, 1/r² exceeds any reasonable value. But, 1/r would not have quite such a tendency. Also, G should be rather different in a 2-D representation. It would be smaller. We can get the value of 2-D G = G* either by extending GR or by analyzing the anomolous velocity dispersion of stars in galaxies using v = (G*M_bh)^1/2 [got by analyzing Newton's law by inspection.] The mass of the central black hole must be got using the (1/r²) version of Newton's law, being careful not to use bulge stars that happen to orbit in the galactic plane. The M-sigma relation might be used but the velocities of bulge stars must have the components in or parallel to the plane of the galaxy eliminated. Or, we could use only the stars that orbit, however chaotically and temporarily, perpendicular to the galactic plane. Orbits in the plane respond only to the (1/r) 2-D Newton's law. This is what leads to the anomolous velocity dispersion in the first place. But of course, this idea is only a postulate. As such it should be allowed to remain intact until its consequences are explored. One ulimate consequence may be that it is a crock. Fine. So be it.

[Gary Anthony]

I have submitted a paper to The Hadronic journal and it will be published in a few months. The abstract reads as follows.

Spinning supermassive black holes: Dark Matter and MOND

G A Kentgen

Abstract

A spatially two dimensional (2-D) hyperbolic (1/r) gravitational field (HGF) is postulated for all black holes (BHs), particularly for galactic central supermassive BHs (SMBHs). Virtual singularities are assumed to exist at the centers of these BHs and the nature of spacetime under the event horizon (EH) is deduced consistent with general relativity theory. Spacetime is posited to undergo centripetally induced phase change below the EH where it morphs to a “singular”, nominally flat or 2-D, gravitational “spin induced” thin platter with virtually infinite radius. Its formal “spin” is coaxial with the overall spin of the galaxy and of the whole central SMBH. The SMBH 2-D G* field declines as 1/r. (Distance, r, from the BH center.) Since this is a hyperbolic field, ordinary inverse ‑ square (1/r²) declining G may not be in effect for stars in the galactic bulge of spiral galaxies. G* affects all stars in the galaxy all the way to the galactic periphery and far beyond. Responsible for the anomalous velocity dispersion (AVD) observed in galaxies and galactic clusters, it actually becomes a constant within a galaxy with uniform velocity dispersion v_o, dependent only upon black hole mass, M_bh, much like the M-sigma relation. In 2-D, a constant orbital velocity dispersion, v_o, implies constant orbital radial acceleration, a_o, like MOND. The HGF complex surface shape is a hyperboloid of one sheet (at very large r). Significantly more intense long range fields embedded in 3-D spacetime allow the hyperbolic fields of nearby galaxy central SMBHs to interact preferentially to form a complex network or 3-D array. Helping to evolve large scale structure, this also would allow creation of a facsimile of “Dark Matter” (DM) halos around galaxies and clusters so that it would account for all the phenomena attributed to DM, including the AVD. The posited 2-D hyper-excited SMBH gravitational field, if logically extended to the primordial ultramassive BH, to the inflaton point particle, accounts for Dark Energy as well.

Mr. Kentgen obtained a Ph.D. equivalent M.S. degree from the Illinois Institute of Technology in 1985. His unfinished (due to a funding issue) dissertation critically involved mathematical modeling. He then became interested in heavy element nucleosynthesis and went on to develop an interest in cosmology and black hole modeling. Since black holes arise from galactic supernovae as do heavy elements, the evolution of the Postulate presented here seems natural.

[ollypenrice]

I have submitted a paper to The Hadronic journal and it will be published in a few months. The abstract reads as follows.

Spinning supermassive black holes: Dark Matter and MOND

G A Kentgen

Abstract

A spatially two dimensional (2-D) hyperbolic (1/r) gravitational field (HGF) is postulated for all black holes (BHs), particularly for galactic central supermassive BHs (SMBHs). Virtual singularities are assumed to exist at the centers of these BHs and the nature of spacetime under the event horizon (EH) is deduced consistent with general relativity theory. Spacetime is posited to undergo centripetally induced phase change below the EH where it morphs to a “singular”, nominally flat or 2-D, gravitational “spin induced” thin platter with virtually infinite radius. Its formal “spin” is coaxial with the overall spin of the galaxy and of the whole central SMBH. The SMBH 2-D G* field declines as 1/r. (Distance, r, from the BH center.) Since this is a hyperbolic field, ordinary inverse ‑ square (1/r²) declining G may not be in effect for stars in the galactic bulge of spiral galaxies. G* affects all stars in the galaxy all the way to the galactic periphery and far beyond. Responsible for the anomalous velocity dispersion (AVD) observed in galaxies and galactic clusters, it actually becomes a constant within a galaxy with uniform velocity dispersion v_o, dependent only upon black hole mass, M_bh, much like the M-sigma relation. In 2-D, a constant orbital velocity dispersion, v_o, implies constant orbital radial acceleration, a_o, like MOND. The HGF complex surface shape is a hyperboloid of one sheet (at very large r). Significantly more intense long range fields embedded in 3-D spacetime allow the hyperbolic fields of nearby galaxy central SMBHs to interact preferentially to form a complex network or 3-D array. Helping to evolve large scale structure, this also would allow creation of a facsimile of “Dark Matter” (DM) halos around galaxies and clusters so that it would account for all the phenomena attributed to DM, including the AVD. The posited 2-D hyper-excited SMBH gravitational field, if logically extended to the primordial ultramassive BH, to the inflaton point particle, accounts for Dark Energy as well.

Mr. Kentgen obtained a Ph.D. equivalent M.S. degree from the Illinois Institute of Technology in 1985. His unfinished (due to a funding issue) dissertation critically involved mathematical modeling. He then became interested in heavy element nucleosynthesis and went on to develop an interest in cosmology and black hole modeling. Since black holes arise from galactic supernovae as do heavy elements, the evolution of the Postulate presented here seems natural.

Dark grey on darker grey. Not the easiest font to read...

Olly

[acey]

Welcome back Gary.

[michael.h.f.wilkinson]

Dark grey on darker grey. Not the easiest font to read...

Olly

Sorted

[michael.h.f.wilkinson]

Interesting stuff, I will have a look at the paper later (is it on ArXiv?)

[Rionaku]

I was thinking about this a few moments ago in reference to the hologram theory, and I just wonder if anyone thought this idea is actually feasible: presume the universe is a continuous hologram/program, set up and coded to form in a grid format. That grid would be what we call the "Fabric" of space. A black hole is a tear in that space (a temporary error in the scripting for that area of space.), caused by the over abundance of information (gravity) applied to the fabric. The script (being a continuously active script) later has to rewrite itself to fix the error (hawking radiation), causing the black hole to evaporate. If there happens to be more information applied to the area of the error (such as a star or gas), the error increases due to the excessive amount of information being applied to the script as it is attempting to rewrite itself to fix said error, thus increasing the size and mass of the black hole. The idea that there was too much information applied to the script and an error formed would imply that the universe is not perfect but is programmed to and capable of fixing itself (Or the creator is fixing it). It could also imply that the universe is actually infinite as well as there being similar versions of the universe (parallels).

I was wondering if you think this idea could be possible...
obviously I think too much...
I'm just a regular guy that loves this stuff and reads articles.