Chaotic Quantum Attractor Physics of Renormalization

ENDLESS TEMPORAL HOMEOSTASIS
Solution gives the definitive proof of the gravitational field exterior of the Kerr Black Hole, a rotating, non-charged singularity of m and angular momentum per unit mass of a. A rotating black hole is a very special deviation of an ordinary singularity mass. Its effect on the geo-temporal grid is reliant entirely on the effect of framedragging as a result of the special property of angular momentum that gives an output of energy proportional to its rotating velocity around the singularity.

The Kerr Black Hole exhibits an interesting property in the duality of its two event horizons. Tier II Event Horizon is the simple singularity boundary of all mass singularities; its existence cannot be penetrated. Only Kerr Black Holes possess Tier I, the entrance to the Ergosphere where gravitational rotational angular momentum becomes infinite.

All timelike curves in rotation around the singularity collapse. Only in the Tier II Event Horizon does time regain its spacelike properties; it is possible with a subliminal acceleration to achieve a rotation within the Ergosphere and enter an endless temporal homeostasis: an environment where time and space switch coordinate directions.

CHAOTIC DIVERGENCE IN ERGOSPHERE
Angular momentum of the Kerr Black Hole returns energy to its surrounding gravitational field. This area is called the Ergosphere. The rotational angular momentum can be surmised within four simple functions.


Running this set of code in a visualizer with given parameters should model the attractor for those parameters:

#include <stdio.h>
#include <math.h>

int main(void)
{
  double x=0.0, y=0.0, z=0.0, xx, yy, zz;

  /* set up some constants. To see a chaotic attractor, try:
     A=2.24, B=0.43, C=-0.65, D=-2.43, E=1.0 */
  double A =  2.0;
  double B =  0.5;
  double C = -1.0;
  double D = -1.0;
  double E =  2.0;
  int loop;

  /* iterate the attractor 120 times. */
  for( loop=0; loop<120; loop++)
  {
      printf( "%d : %f, %f, %f\n", loop, (float)x, (float)y, (float)z);
      xx = sin(A*y) - z*cos(B*x);
      yy = z*sin(C*x) - cos(D*y);
      zz = E*sin(x);
      x=xx; y=yy; z=zz;
  }
}

We are working with a very basic derivative formula for:

x' = sin(Ay) − z cos(Bx)
y' = z sin(Cx) − cos(Dy)
z' = E sin(x)


Chaotic variance is influenced by macro-scale attractors in the universe. Time is observed to be directly influenced, and space indirectly. This is the basis for all "parallel temporal lines," which run separate to one another without interaction but around the attractor. However, it is theoretically possible to alternate between these lines. Sample attractor diagrams for parallel functions. Infinite" is time and nothing else.

Rotating micro black holes which emulate a natural Kerr Black Hole and the geo-temporal functions of the Ergosphere phenomenon may be artificially created by human means in the future. However, current scientific limitations cannot exceed the energies needed to create even the smallest Schwarzschild Radius


Human beings are limited to the experience of a single temporal line in a localized geometric region of space. This space, otherwise known as "Earth," or even "the Solar System" or "Local Interstellar Cloud," is that space which is unaffected by macroscopic attractors, local strange attractors, or nearby singularities. Without these functions, chaotic variance remains disordered. Humans are subjected to both macro- and microscopic variance.

Local strange attractors can only be produced by the realization of relativistic wave functions known as Dirac equations, which begin to compose an infinite vacuum of antiparticles. The introduction of a local strange attractor forms a microscopic primer which begins to shape and re-define the macroscopic variance.

All report visual hallucinations (acute visual errors) that they can seemingly interact with but are nonetheless nonexistent to the unaffected. Interestingly, multiple victims of Shibuya Madness possess local shared recognition of their own individual hallucinations. All perceive them as tangible.

Cellular automaton is a collection of "colored" cells on a grid of specified shape that evolves through a number of discrete time steps according to a set of rules based on the states of neighboring cells. The rules are then applied iteratively for as many time steps as desired.

When you interpret and design these automatons is like a key or a dictionary, more accurately, for what is known as the Cascading Language inbound-ϛ. Quantum phenomena describes human perceptions as continuing along parallel functions regardless of their definitive state. The only error that occurs is whether it is possible for humans to "perceive" their own death. Live experimentation will be required.

....

Gamma rays are the most energetic waves in the electromagnetic spectrum. On Earth, nuclear explosions and lightning produce gamma rays. The ONLY similarity between a gamma ray and a gamma brain wave is that their frequency is extremely fast, with a small amplitude. Gamma brain waves are the fastest brainwave frequency with the smallest amplitude. They are associated with the “feeling of blessings” reported by experienced meditators such as monks and nuns, and with peak concentration and extremely high levels of cognitive functioning.


The strange belief in a shallow pool of water beneath the feet of everyone in the world. The "three precious treasures" are built around the concept of metals. Computer hardware does not function without lithium batteries, electroplating, silicon engineering, or even the rarity of metallic structure.  Fitting, then, that in order for organic matter to properly simulate the concepts of "neurotic quantum computation" it would require a heavy dose of this rarity.


The world will disappear, always in an everlasting, mesmerizing illusion;
The world shall tremble before the kings of kings;
The worst of worst nightmares will swallow whole the minds and hearts of just men;
Creatures of times future and past will approach swiftly, melding the illusion;
These are all of similar nightmares created by the minds and hearts of all men;
The world will surely come to an end;
Hope will irreversibly transform into despair;
Illnesses of the heart will bring about ruin;
Only the ascension of demonic apparitions can return the former state;
Of whom will rebuild the new era;
To whom kings of kings will kneel;
With whom will walk the surface of stars;
From whom they will trace the outlines of times present;
Only when the world will disappear——



Low-cost three-dimensional millimeter-wave holographic imaging system based on a frequency-scanning antenna.

A closed-form two-dimensional reconstruction technique for hybrid frequency and mechanical scanning millimeter-wave (MMW) imaging systems is proposed. Although being commercially implemented in many imaging systems as a low-cost real-time solution, the results of frequency scanning systems have been reconstructed numerically or have been reported as the captured raw data with no clear details. Furthermore, this paper proposes a new framework to utilize the captured data of different frequencies for three-dimensional (3D) reconstruction based on novel proposed closed-form relations. The hybrid frequency and mechanical scanning structure, together with the proposed reconstruction method, yields a low-cost MMW imaging system with a satisfying performance. The extracted reconstruction formulations are validated through numerical simulations, which show comparable image quality with conventional MMW imaging systems, i.e., switched-array (SA) and phased-array (PA) structures. Extensive simulations are also performed in the presence of additive noise, demonstrating the acceptable robustness of the system against system noise compared to SA and comparable performance with PA. Finally, 3D reconstruction of the simulated data shows a depth resolution of better than 10 cm with minimum degradation of lateral resolution in the 10 GHz frequency bandwidth.




Renormalization is a collection of techniques in quantum field theory, the statistical mechanics of fields, and the theory of self-similar geometric structures, that are used to treat infinities arising in calculated quantities by altering values of quantities to compensate for effects of their self-interactions.

https://www.physics.umd.edu/courses/Phys851/Luty/notes/renorm.pdf

http://math.ucr.edu/home/baez/renormalization.html

Renormalization is the mathematical method used in quantum field theory (QFT) to remove infinities from a theory to obtain a finite answer.
The story starts, when one attempts to calculate Feynman diagrams with loops. For examples the radiative corrections below

Calculation of these diagrams diverges involves performing integrals (on the momentum of the particles in the loop). Some of these integrals diverge, which isn’t sensible as a physical results.

The first step in renormalization is regularization, where we modify the theory (for instance adding some fields with heavy mass to the theory) in such a way that the divergences disappear. The second stage is taking a parameter that control the “amount” of modification and sending it to zero (taking a careful limit). If it is done right, and the theory is “renormalizable” we can make all the divergences from all the possible loop integrals disappear.

This “trick” comes with a price, some quantities becomes undefined (can be set to arbitrary value). However, there is only a small number of such new free parameters (for renormalizble theories) and we “fix” them by setting them as an experimental value. It sound weird but hold on.

This procedure can be rewritten as replacing the parameters of the original theory with new parameters that depends on the a dynamical quantity (for instance the center of mass energy of a collision). The dependency is related to the regularization and limit procedure we choose. And there is infinite many way to make those choices, each generating a different dependence.

That sound pretty arbitrary since there are a lot of functions to choose from. But what really happens is that physical quantities (things that we can go and test in the lab, at least in principle) depends only of few constant numbers.

Non-physical quantities stay depended on arbitrary functions, however they are not physical, so we do not really care. For instance the original parameters we used to define the theory with are example of such bad defined quantities.

Now to fully appreciate the story, one need to get a hand’s on experience with the mathematics, and learn about the Wilsonian effective action and asymptotic freedom (this are the interpretations of the renormalization procedure that remove the “this is nonsense” feeling you likely have right now).


Quantum field theory, which is used to calculate the effects of fundamental forces at the quantum level, began with quantum electrodynamics, the quantum theory of the electromagnetic force. Initially it seemed that the theory led to infinite results. For example, the electron’s ability constantly to emit and reabsorb “virtual” photons (i.e., photons that exist only for the time allowed by the uncertainty principle) means that its total energy and its mass are infinite. However, by redefining the mass of the “bare” electron to include these virtual processes and setting it equal to the measured mass—that is, by renormalizing—the problem is removed.

Quantum electrodynamics has been the prototype for other quantum field theories. In particular, the highly successful electroweak theory, which incorporates the weak force together with the electromagnetic force, has proved to be renormalizable. Also, quantum chromodynamics, the theory of the strong force, appears to be renormalizable. However, a renormalizable theory that includes all the fundamental forces, in particular gravity, remains elusive.

Renormalization of a QFT is a very complex task but most of the times one can determine very easily whether a theory is renormalizable or not by just inspecting the mathematical structure of a theory.

A relativistic invariant QFT is written in terms of a Lagrangian. A lagrangian is defined as:

L = T - V

Here L is the lagrangian, T is the kinetic energy and V is the potential energy. This form is very suitable for a relativistic invariant QFT because it immediately shows that the theory is Lorentz invariant.

In a Lagrangian, the term containing the coupling constant is the one that contains the information about its renormalizability. If the mass dimension of the coupling constant is zero or positive, the theory would be renormalizable. This is known as the power counting method by Freeman Dyson.

For example in case of QED the mass dimension of the coupling constant (the electric charge e) is zero. So the theory turns out to be renormalizable. For quantum field theory of gravity the mass dimension of the coupling constant (Newton’s universal constant of gravitation G) is -2 and the theory is non renormalizable since the infinities infecting this theory cannot be removed.

https://en.wikiquote.org/wiki/Renormalization

https://www.cs.mcgill.ca/~rwest/wikispeedia/wpcd/wp/r/Renormalization.htm