On Cyclotron Radiation In Early Universe

[Dubbelosix]

​For those who followed the last work, an equation I extracted from a paper resulted in erroneous equations. This is updated to fix the mistake found in Arun and Sivarams paper.

 

 

 

 

A quick explanation first why that third derivative in time in the Friedmann equation leads to non-conservation.

 

The time derivative of the Hubble radius is

 

 
[math]\frac{dR}{dt} = v = \dot{R}[/math]

 

Second derivative in time leads to acceleration (as would be expected say, in Friedmanns acceleration equation)

 

[math]\frac{dv}{dt} = a = \ddot{R}[/math]

 

 
Third derivative in time leads to chaotic systems and is denoted as the jerk

 

 
[math]\frac{da}{dt} = j = \dddot{R}[/math]

 

 
The suggested equation for a non-conservation in particle number located in the effective density was suggested in a form (with rotation):

 

 

 

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

 

 

 

The rotating universe (at least in the early cosmology case) coupled to the dust inside of it strongly. This causes the charged particles in spacetime to experience a circular trajectory (in which they lose energy through the loss of radiation) which is known as a cyclotron radiation, similar to how we view charged particles accelerating in spacetime giving rise to Larmor radiation - in the case of gravity, this would be due to the weak equivalence principle.

 

 

 

[math]m\dot{R}^2 = \frac{e^2}{6 \pi c^3} \dddot{R} + eV[/math]

 

 

 

In which [math]\ddot{R} \propto \dddot{R}[/math]. As noted by Arun and Sivaram, this leads to a path that is an exponentially increasing logarithmic spiral. Of course, in the context of a rotating expanding spacetime, the decaying rotational properties means that the logarithmic path too is overcome by expansion in the bigger picture. So instead of an exponential increase, the coupling of rotation to matter requires also that the coupling fall off as rotation equally decays. Such a logarithmic spiral would instead follow an exponential decay rule in accordance to the rotation which decays ~

 

 

 

[math]\omega = \omega_0 e^{-\lambda t}[/math]

 

 

 

We can see how this relates to the third derivative directly. Differentiation leads to in the spiral equation, terms that will fit the expanding and rotating Friedmann model

 

[math]2m\dot{R}\dot{R} = \frac{e^2}{6 \pi c^3} \ddddot{R} + e\dot{V}[/math]
 

 

Notice, the potential difference, also known as the voltage [math]V[/math] has picked up a charge to mass ratio coefficient,

 

[math]\dot{R}^2 = \frac{e^2}{6 \pi c^3} \dddot{R} + (\frac{e}{m})V[/math]

 

 

 

We can replace the charge to mass ratio with a gyromagnetic ratio because the universes rotation, is also a classical property. This term that can replace the charge to mass ratio works only if charges in spacetime are distributed evenly. Due to spacetime homogeneity, this seems to be a fitting case. The interesting thing, the additional rotational radiation coming from these charged particles in the early universe can contribute to an exotic zoo. The high radiation densities would lead to new particles of various types. It also stands as a contributor to the background temperatures.

 

The differentiation of both the spiral trajectory equation and the Friedmann Langrangian (an equation I derived some time back) we can see how they relate as power equations

 

[math]m\dot{R}^2 = \frac{e^2}{6 \pi c^3} \dddot{R} + eV[/math]

 

[math]\rightarrow m\dot{R}\ddot{R} = \frac{e^2}{12 \pi c^3} \ddddot{R} + \frac{1}{2}e\dot{V}[/math]

 

 

 

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

 

[math]\rightarrow \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]

 

The rotating universe is compatible with the spiral paths taken giving rise to the extra radiation. Notice also, the differentiation of the spiral equation yields the jolt a rare symbol ever if there was one in physics [math]\ddddot{R}[/math]. Very rarely do we have to consider such derivatives but in this model, it cannot be avoided.

 

 

 

ref: https://arxiv.org/ftp/arxiv/papers/1402/1402.5071.pdf

 

(keep in mind we have fixed an error)

Edited July 24, 2017 by Dubbelosix

[Super Polymath]

[math]\dddot{R} \propto \ddddot{R}[/math]

Bingo. What's really going to blow your mind is that there are infinite additions of these derivatives.

 

Endless mitosis of the spiral system. But it's not really copying itself, it's reverberating cyclically. The matter has always been there. I wonder how you would show the mathematically. A linear line is unstable, it must collapse into a logarithmic spiral for reality to be logically stable against non-reality. Reality is three dimensional, you need nothing more than calculus to understand this steady state.

 

It is so much more grounded than conventional QM & string theory, it defines gravity & uses special relativity beyond the speed of light with Lorentz transformations to unify an alternative transplanckian QM with an micromatter space between normal matter (transferring vibrations in all matter like dominoes) theory of strong transplanckian gravity, which has velocity=c. As the planck-length is surpassed by scales of interaction between matter, so is the speed of light - otherwise time just stops & that seems unlikely.

Edited July 22, 2017 by Super Polymath

[Super Polymath]

If rotation is a reversible process, then I do not know of any mechanism other than friction that would allow any irreversible, or non-conservation in the electrons that lose energy to the early Cyclotron universe.

There wouldn't be a large enough congregation of simultaneously evaporating black holes to ignite the virtual particles within vacuum energy into the quark gluon plasma of the CMBR everytime. Only in the areas where superspace atoms form does rotation reverse back & forth. This is why atomless areas such as the vacuum of space, the singularities of black holes, & the quark gluon plasma of the CMB exist in our cosmos. Edited July 22, 2017 by Super Polymath

[Super Polymath]

Except in this model, there isn't any requirement for any infinite derivatives, because these spiral paths are dependent on the rotation [math]\omega[/math] which decays exponentially from a large spin.

 

An infinite universe is implied not just by rotation but by gravity's tug on the edge of the CMB:

 

http://www.pbs.org/wgbh/nova/blogs/physics/2012/05/dark-flow-tugs-from-beyond-the-observable-universe/

 

There was more matter outside the particle horizon of the CMBR.

 

It's gravitational effects is the very mechanism for rotation. Evaporating black holes cause enough unraveling of compressed spacetime (anti-gravity waves) to gives the CMB enough room to move along its spiral trajectory causing enough cyclotron radiation to account for acceleration.

Edited July 24, 2017 by Super Polymath

[Super Polymath]

That gives rise to a snap, or pop, fifth derivative.

 

B/c if you have googols of evaporating black holes converging into each other from all directions driven by black hole eras (heat loss) caused by acceleration. They spew out gamma rays & anti-gravity waves that not only heat & combine the virtual particles of the vacuum medium into massive amounts of quark gluon plasma but also separates them into multiple Hubble radi worth of rotating CMBs that orbit each other & spin outward & basically this perfectly timed evaporation of converging black holes & dead stars form a super cosmic atom as the quark gluon plasma spheres expand into endless expanding galaxy clusters via cyclotron radiation.

 

These collections of superspace atoms will form objects just like stars and planets because the orbit of CMBs will vary, creating variations in superspace atom structures just like regular isotopes.

 

This is why what I mean when I say the rotation & the orbit of cosmoses will reverse back & forth for eons where superspace atoms form, until those atomic processes themselves decay.

 

So our cosmos is inside an atom that's inside a star or some other stellar body, and the particles that form our cosmos are also made of tiny subspace cosmoses which are the basis for the virtual particles of the vacuum medium. All matter is literally touching, & gravity is just vibrations in that matter, like how beating a drum causes vibrations in air known as sound.

 

Or we could be inside vacuum radiation (photons, electrons or protons) as oppossed to a very big atom, which would explain why our particle horizon is only 13 billion light years.

Edited July 24, 2017 by Super Polymath

[Super Polymath]

Although addition of velocities for gravity wave velocity=c for evaporating black holes decompressing spacetime in waves of antigravity also explains why our particle horizon is 13 billion light years just how it explains the fifth derivative pop to form the dimensionality that is the Hubble radius.

[Super Polymath]

I don't believe in inifnities, I am strongly against them. I don't believe an infinities exist in reality. They are unphysical concepts.

 

Truth is usually stranger than fiction, though.

[Super Polymath]

I don't feel strong about this unification though in the context of a gauge theory with spin connections. These typically involve a quantization of the gravitational field and such a quantization should not be possible from first principles of relativity.

 

Quantum gravity is highly supported by evidence in particle physics. Such a theory is very needed. Such a theory I provide.

[Super Polymath]

Quantization of gravity just means gravity propagates at different rates when the Planck length is surpassed. Every time its surpassed. In the context of which I used it, subspace & superspace interactions of transplanckian matter still need gravity, its the addition of velocities for special relativity beyond the speed of light explaining both supergravity & quantum gravity.

 

The higgs field gets deactivated when matter is above the Hubble radius or beneath the Planck length.

Edited July 24, 2017 by Super Polymath

[Super Polymath]

But there's still a subspace higgs field & a superspace higgs field.

 

Therefore the first pricinciples of general relativity aren't violated, just rescaled.

[Super Polymath]

Its unification of relativity & an unconventional transplanckian QM.

 

& I fail to see anything wrong with it, it uses your four derivatives, but then there's the fifth derivative I explained to you in the last page. When you mathematically show the pop, you'll have a finalized TOE because we can just use your formula & add infinite matter & the transplanckian interactions emerge regardless.

 

But without the fifth derivative theres no room for expansion or for non-conservation in the form of cyclotron radiation because the black holes need to evaporate into order to decompress the spacetime enough to allow for room. The black hole evaporation & neutron star decay is the fifth derivative, it is the pop that creates room for the jerk & the jolt at the end of heat loss. It also fuses the virtual particles (vacuum density) in the vacuum medium into the quark gluon plasma of the CMB.

Edited July 24, 2017 by Super Polymath

[Super Polymath]

Those derivatives will not continue forever though, linear expansion will over take the rotational properties and so will result in rotation decaying.

 

Those derivatives continue for as far as the timing of multiple expansions from all different directions are in sync. When you get past the atoms that compose a stellar object, you are in space where only radiation either emanates from that object, or reflects off of it. That radiation is still made out of the same cosmic evolution process that formed the atomic structures of the stellar object, so when expansion overtakes the process the timing of expansion of different universes is no longer in sync, expansion frees the matter from the cyclical loop that formed larger atoms in super space. In the radiation of the vacuum, you wouldn't add higher derivatives of the jolt. The black holes just evaporate into gamma rays, but they aren't meeting enough other evaporating black holes to restart the process by igniting the virtual particles of the vacuum medium. However, as radiation continuously emanates from the atoms of the stellar object behind these cold dying universes in the super-vacuum, the sub-vacuum medium eventually still gets ignited so the process continues. This is why photons & protons propagate through interplanetary space.

 

This TOE & this strange notions that all atoms & subatomic particles are collections of subspace universes just like ours has some interesting implications though. For instance, the particles that orbit every atomic nucleus are composed of intersecting subspace cosmoses passing through each other; viz a viz, the black holes & neutron stars at the end of the black hole era will pass through walls of cosmoses in their stellar era like ours just before they evaporate & decay into gamma rays - this extra mass passing between the galaxies in our universe would account for dark matter as the black holes from older universes not passing between galaxiesof younger universes gets snatched by the gravity of those galaxies, adding mass to them, while black holes passing between galaxies slightly decreases the distance between them. An excellent counterbalance to dark flow.

Edited July 26, 2017 by Super Polymath

[Super Polymath]

This theory I'm developing just keeps making more sense of why we've had so much trouble with a grand unification of the forces of nature.

[Super Polymath]

Phycists are too damn counterintuitive. All that linear thinking in our education systems.

 

I'm a lateral thinker, this theory began when I pondered what's inside a subatomic particle & what lies beyond the Hubble radius; & then it hit me like a silver bullet - perhaps each subatomic particle is exactly one very small observable universe that experiences a different relative timeframe because of its size.

Edited July 26, 2017 by Super Polymath

[Super Polymath]

they are still following curved geodesics which must imply accelerations in spacetime giving rise to this interesting radiation, interesting because it could add some new physics in the long run and may even change our picture about the ''source'' of the background temperatures and even certain zoo of particles that have not quite been fitted into the standard model.

The virtual particles of the vacuum medium?

 

They are ultra-redshifted photons with almost never-ending wavelengths. Consider the fact that they are composed of subspace black hole eras. Once these microverse black holes & neutron stars evaporate & decay into gamma rays there still isn't enough friction to ignite the virtual particles in the sub-vacuum medium into anything more than bits of scattered quarks, which decay eventually.

Edited July 26, 2017 by Super Polymath

[Super Polymath]

What the theory of everything answers is, what is existence? Why is existence? How is existence? & the answer is this according to what we're working on here:

 

Existence is a never-ending logarithmic spiral, nonexistence is the space between the curve of the spiral. Reality mathematically solves the age old question of "to be, or not be" with a simple golden ratio.

 

 

Another way to depict this, is you have a three-dimensional cube of solid reality, infinite in size, & as it transforms through time you get the fundamental interactions & the structure of the cosmos as we've defined here in this very thread.

Edited July 26, 2017 by Super Polymath