The Evolution Of The Friedmann Equation

[Dubbelosix]

In early work, it was found that non-conservation in a universe enters specifically through a third derivative in time

 

[math]\frac{\dot{R}}{R}(\frac{\ddot{R}}{R} + \frac{kc^2}{a^2}) = \frac{8 \pi G}{3}(\rho + \frac{3P}{c^2})\frac{\dot{R}}{R}[/math]

 

Can even be swapped for a thermodynamic interpretation on the RHS explaining background anistropy

 

[math]\frac{\dot{R}}{R}(\frac{\ddot{R}}{R} + \frac{kc^2}{a^2}) = \frac{8 \pi G}{3}(\rho + \frac{3P}{c^2})\frac{\dot{T}}{T}[/math]

 

It was found that the third derivative did not need to be written explicitly. It can be exchanged for a fluid expansion coefficient. The question was clear, did expansion itself give rise to non-conservation?

 

[math]\frac{\ddot{R}}{R}\Theta  + \frac{kc^2}{a^2}\Theta = \frac{8 \pi G}{3}(\rho + \frac{3P}{c^2})\Theta[/math]

 

Later, I argue that rotation should enter the Friedmann equation to explain dark energy and also explain dark flow. 

 

[math]\frac{\dot{R}}{R}(\frac{\ddot{R}}{R} + \frac{kc^2}{a^2}) = \frac{8 \pi G}{3}(\rho + \frac{3P}{c^2})\frac{\dot{R}}{R} + \omega \dot{\omega}[/math]

 

Later I suggest a direct Langrangian from Friedmann cosmology.

 

​[math]\mathcal{L} = m\dot{R}^2 - \frac{8 \pi Gm R}{3c^2}(\rho + 3P) + mR \omega^2[/math]

 

On dimensional grounds only a power equation from Friedmann cosmology was looked into to see that it involves the third derivative in time

 

[math]\mathcal{P} = m\dot{R}\ddot{R} - \frac{8 \pi Gm R}{6c^2}(\rho + 3P)\frac{\dot{R}}{R} + mR \omega \dot{\omega}[/math]

 

Altering the first law of thermodynamics, we were capable of obtaining a Gibbs equation which may have implication in reversible and irreversible entropy dynamics and has a far-reaching implication to talk about the Big Bang as a phase transition from a compact all-matter gas into a radiation vapor. It also has in it the non-conserved particle number. 

 

[math]\frac{\dot{R}}{R}(\frac{\ddot{R}}{R} + \frac{kc^2}{a}) = \frac{8 \pi G}{6}[(\frac{\rho}{n}) + 3P(\frac{1}{n})]\dot{n}[/math]

 

That investigation has finally led to a Friedmann equation which accurately consists of reversible and irreversible dynamics in a pseudo de Sitter spacetime which also contains the particle production rate in a universe.

 

[math]\frac{\dot{R}}{R}(\frac{\ddot{R}}{R} + \frac{kc^2}{a}) = \frac{8 \pi G}{3}(\dot{\mathbf{q}}_{rev} + [(\frac{\rho}{n}) + 3P_{irr}(\frac{1}{n})]n\Gamma)[/math]

Edited July 28, 2017 by Dubbelosix

[Super Polymath]

Time contraction (mirror relfection of time dilation) at extremes is similar to anti de sitter space. Time moves so fast within the isotropic sub-planck scale parts of every subatomic particle where radius & time are near zero. That's why a particle scatters & reforms during the wave function & its collapse, & why the wave function is longer when a particle is interacting less with other particles.

Edited July 30, 2017 by Super Polymath

[Super Polymath]

This leads to the same negative motion of spacetime & superluminal gravitation relative us as the subplanck world at scales where the universe becomes homogenous, this is why a(v)>c(v).

 

Special relativity beyond the speed of light leads to negative time dilation (time ticks faster). You could say, time contraction (our timeline goes into the past of the timeline that ticks faster than ours & vice versa relative to that timeline).

Edited July 30, 2017 by Super Polymath

[Super Polymath]

Given existence is dimensionless, aka endless in size, this infinite collection of de sitter & anti de sitter spaces allows for the black holes of several end stage universes (heat loss) converge into one that has an event horizon greater than the point in which our current interstellar space becomes homogenous, negative time dilation rips this superspace black hole apart as it gives off all of its hawking radiation at once this ignites the virtual particles (ultra redshifted into anti de sitter space) of the vacuum medium into the quark gluon plasma of the CMBR.

 

Infinite expansion is just the compression & decompression of spacetime of these superspace black holes & the supergravity that connects them beyond the particle horizon. There is a micro-black hole (which are too short-lived to observe) that exists for an instant at the center of the nucleus of every atom, these are the superspace black holes of the subspace (anti-De sitter space) cosmoses.

 

Think of a Planck particle in superspace. Or in our subspace, the Planck particle is the center of the superspace atom>galaxy>star.

 

Center of stars=near quark-matter core, center of galaxies=supermassive black hole>center of superspace atom=superspace Planck particle which doesn't live any longer than a normal Planck particle due to its transtemporal dimensionality.

 

In a superspace vacuum free particles turn into virtual particles (black hole eras in subspace) by the driving force of subspace expansion, but these subcosmoses interact less with each other, meaning there's a fast enough rate of expansion (less "dark matter" from transcosmic interactions of stellar bodies passing through one another like in the atomic world) to allow for compressed black hole eras to catch up to the decompressed evaporating black hole eras ahead of them to still generate enough friction to lead to the quark epochs of the CMB allowing subatomic particles to propagate through even a perfect vacuum despite little interaction with other particles.

Edited August 3, 2017 by Super Polymath

[Super Polymath]

Because you've altered the Friedmann model to the point where it can provide alternatives to TBBT given more matter than observational limitations provide (potentially infinite).

 

Might as well add continuous rather than discrete spacetime to this potentially dimensionlessness (without a boundary field) log spiral pattern of spacetime rotations in order to give a transplanckian gravitational interpretation

 

(time dilated accelerated expansion velocity</=c cosmoses [with their own rescaled superluminal higgs field-based hubble radii=to the planck radius] as the substance of all subatomic particles)

 

of the observer effect for an alternative to QM.

Edited August 3, 2017 by Super Polymath

[Super Polymath]

My theory has versions of micro cosmoses based on your maths.

 

A vacuum has within it more of your ideal 'irreversible rotation'. Yet there are sub sub spaces, doubly micro cosmoses, the micro cosmoses within micro cosmoses. Another level down, so to speak, in which the Planck length gets negative powered by itself once again, yet micro micro cosmoses themselves have infinite more micros. This concept of my theory in particular is very important, you begin to see how empty space could never be empty, even in a perfect vacuum or in quark gluon plasma all wavelengths of any matter can be seen as going from quark era to stellar era to black hole era in a micro cosmos of subspace if you go down enough levels.

 

However, if you only go down one level: into subspace matter where the Planck length is negative squared by itself only once; if you look at areas like the vacuum or the quark gluon plasma of the CMBR, the wavelengths either don't occur for googols of years, or never end for googols of years. For instance: within the cores of neutron stars & black holes, the subspace cosmoses that compose the quark gluon plasma core of a

stays in the hot dense state of subspace quark gluon plasma (not to be confused with the regular space quark gluon plasma on our level, more like micro CMBs) that never gets to the subspace stellar era until the star decays. A perfect vacuum or the curved space around black holes that give them such gravity are composed of particles with very long wavelengths, in that they never get past black hole eras b/c by the time they evaporate the gamma rays aren't sufficient to ignite the sub sub space virtual particles of their subspace vacuum mediums into sufficient subspace quark gluon plasma to begin a subspace stellar era. Never ending wavelengths. Black hole singularity cores are made out of quarks that represent micro cosmoses a few more levels down; sub sub space quark gluon plasma - same as the faint sub sub space gamma rays that subspace black holes would release in a perfect vacuum.

 

Where-ever atoms form is the perfect entropy level for the qubit subspace cosmoses that make up subatomic particles - in that their wavelengths are not too short, & not too long so that they experience all three eras in reversible rotation.

 

Yet if you go down enough levels of subspace, every infinitesimal region of a perfect vacuum has atoms in it. A qubit represents a quantum bit, the space between subatomic particles where QM says there's nothing because in QM spacetime is discrete, however in continuous spacetime each qubit represents infinite size, as does the qubit of a qubit. We exist within a superspace qubit.

Edited August 7, 2017 by Super Polymath