Hopf Fibration Explained as Time Topology a process of spherical 4πr² sy...

Hopf Fibration Explained as Time Topology a process of spherical 4πr² symmetry forming and breaking

Dyslexic Artist Theory on the Physics of Time 38.9K subscribers

We can have an objective understanding the Hopf Fibration with the dynamic four-dimensional hyperspace representing time, or as a geometrical process the curvature of space-time.

The base sphere that the forms the Hopf Fibration is representing an electron sphere of probability that surrounds the nucleus of an atom.

The points on the surface of the sphere can represents a geometrical process based on Huygens’ Principle of 1670, that says:

“Every point on a wave front has the potential for a new spherical 4πr² light wave”

We can think of the points on the curvature of the wave front as a potential light photon ∆E=hf electron interaction or couplings.

The process of projection in the Hopf Fibration is formed by the absorption and emission of light waves. Whenever this exchange of energy takes place our everyday world changes slightly and we comprehend and measure this change as time.

The circles in the Hopf Fibration represent electromagnetic field lines. It is time variations within magnetic fields that act as a source for electric fields and time varying electric fields is the source of magnetic fields. When one field is changing in time, then a field of the other is induced. This is an emergent process relative to the position and momentum of the objects creating the time variations, the atoms themselves.

The two-dimensional surface of the base sphere forming a boundary condition or manifold for positive and negative charge as a probabilistic future unfolds with the exchange of quantized energy.

This boundary condition or manifold forms the potential for the four dimension that we have in the mathematics of the Hopf Fibration.

In this theory, the photon and electron are two aspects of the same geometrical process of spherical symmetry forming and breaking.

This spherical geometry is not embedded in three-dimensional space, but forms the characteristics of three-dimensional space with the two dimensional surface forming the four dimension of time.

As a universal process of energy exchange everything is always on this two dimensional manifold moving forward into the future

This concept is supported by the fact that light photon energy ∆E=hf is continuously exchanging into the kinetic energy Eₖ=½mv² of matter, in the form of electrons

Kinetic energy is the energy of motion it is the energy of what is actually happening as the future unfolds.

Inside a Hopf Fibration all the circles which look like lines are made up of zero dimensional points which kind of look like spheres. In this theory, spherical photon oscillations or vibrations form the potential for this mathematical concept

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The animation shown in this video is by Niles Johnson:

https://www.youtube.com/watch?v=AKotM...

 

Why is Space Three Dimensional

There is no explanation in mainstream physics for why space is three dimensional. This theory explains a process of spherical symmetry forming and breaking that forms three dimensions of space with one variable in the form of time. The interior of a sphere is naturally three dimensional and the two dimensional surface forms a manifold. Our everchanging world unfolds upon this manifold with the movement of positive and negative charge. We measure this process of continuous change as the continuum of time. The geometrical aspect of this process is based on Huygens’ Principle of 1670 that says, “Every point on a light wave front has the potential for a new spherical 4πr² light wave". Each point on the wave front represents a potential photon ∆E=hf electron interaction or coupling. The spherical surface forms a boundary condition or manifold for the uncertainty ∆×∆pᵪ≥h/4π of this interaction. Light waves radiate out spherically 4πr² with their interior forming the characteristic of three-dimensional space with the spherical surface forming a probabilistic wave front. Each point ∆E=hf on the wave front forms the potential for a new spherical wave, a photon of energy, a new oscillation or vibration that forms our future. We have to square the radius r² because process is unfolding relative to the surface of the sphere. Therefore, we have the probability wave function Ψ² is squared. The speed of the process is squared c², the speed of light and the charge of the electron is squared e² representing different aspect of the same process. The light photon ∆E=hf and the electron are two sides of the same process in this theory. The centre of the sphere forms a constant of action relative to the radius square r² and the circumference 2πr. This forms the Planck constant h/2π in mathematics of Quantum Mechanics. This theory was first published in 2008 it explains the mathematics of Quantum Mechanics as a geometrical process that forms the characteristics of time within three dimensions of space. We have an ever-changing temporal world with an uncertain probabilistic future unfolding with each photon electron interaction changing potential energy PE into the kinetic Eₖ=½mv² energy of electrons or matter. This theory goes back to r² and the three dimensional physics of the Inverse Square Law. This is based on Conformal Geometry where angle remain the same, but there is no notion of scale. Therefore we have the same angles and patterns on the large scale in the form of plasma as we do at the small scale relative to the atoms. Spherical stars and spiral galaxies from one end of the visible Universe to the other. Relative to the atoms we have the Fibonacci spiral everywhere in the form of an imperfect broken symmetry.

New Scientific Paper Explains Dark Energy as a Holographic Process

A new paper suggests that the Universe uses the Holographic Principle, with the information of our three dimensional space being encoded on a two dimensional surface or manifold. By doing this they can explain Dark Energy as a process instead of a thing. The paper is a mathematical description and gives us no idea, what or how the two dimensional surface is formed. If you follow the theory put forward in these videos you will already have an idea of how this surface is formed. in a real holography the surface needs thickness to store info, in this theory the curvature of the two dimensional surface with the movement of positive and negative charges over comes this problem. What is beautiful is that this can represent a universal process of energy exchange with each part having the potential to contain info about the whole. This forms a great unity, the unity of geometry that can be seen as the unity of mathematics and physics. My own personal belief is that the oneness of God forms the unity of mathematics and physics. Link to Scientific Paper: https://www.sciencedirect.com/science... Reference: Physicist Sabine Hossenfelder "Dark energy is (probably) real, but physicists still don’t know what it’s made of or how to interact with it. One idea that solves this problem is that dark matter isn’t made of anything, but is a consequence of the universe being holographic. While that idea has been floating around since the ‘90s, it's had a few problems. Now a pair of physicists claim to have solved that problem". Link to the video: Surprise Comeback Dark Energy Could Be Holographic After All    • Surprise Comeback: Dark Energy Could ...   The Oneness of Creations!!! The video playlist: One God, One Life and One Universal Process    • One God one Life one Universe one uni...  

🟡 Huygens Principle and the Fundamental Geometry of the Universe 🟡 Spher...

Could Huygens Principle give us a deeper understanding of Quantum Mechanics?

Quantization of Time and the relativistic Spacetime of Einstein's Relati...

This is an invitation to see a theory where light is both a wave and a particle, with a probabilistic ∆×∆pᵪ≥h/4π, future continuously unfolding in relation to the electron probability cloud of atoms and the wavelength of light. In this theory, the wave-particle duality of light and matter (electrons) creates a blank canvas that we (atoms) can interact with forming a future relative to the energy and momentum of our actions. This interaction is represented by a constant of action in space and time, mathematically denoted as the Planck constant h/2π. This concept is supported by the fact that light photon energy ∆E=hf is continuous exchange into the kinetic energy Eₖ=½mv² of matter, in the form of electrons

Einstein’s Definition of Time the Light Clocks of Relativity

New video: Einstein’s Definition of Time The Light Clocks of Relativity

 

Einstein claimed in his famous 1905 paper that a light beam's passage in an inertial reference  frame is what actually defines time.

In his theory of Relativity, Einstein defined Time as the passage of light, between two given endpoints.

This concept of time formed the idea of a light clock.

 

Defining time as the passage of light between certain endpoints in space would be a terrible idea if it turned out, that some other physical process forms the continuum of time.

 

But this was a logical choice, because to the best of our knowledge light is the agent which is responsible for the transmission of causal information.

 

Therefore every process over a period of time that occurs in our universe is at the most fundamental level a type of  light clock within it own reference frame.

 

Einstein never when any deeper in explaining the nature or physics of time.

 

These videos put forward the idea that we have a probabilistic uncertain future continuously unfolding with absorption and emission of light photon energy.

 

This would totally fit in with Einstein’s concept of time.

 

In such a theory the atoms of the periodic table are standing waves in time.

 

Light and electrons are waves over a period of time with particle characteristics as the future comes into existence with each photon electron interaction or coupling.

 

Whenever we have the  absorption and emission of light our everyday world changes slightly and we comprehend and measure this change as time.

 

This concept is supported by the fact that light photon energy ∆E=hf  is continuously exchanging into the kinetic energy Eₖ=½mv² of matter, in the form of electrons

 

Kinetic energy is the energy of motion it is the energy of what is actually happening as the future unfolds.

 

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Reduced Planck Constant ħ or h bar a Mistake? Interpretation of Quantum ...

In theoretical physics we have the Planck constant h representing a minimum quantity in the fabric of space and time.

 

  The Planck constant is very often divided by 2π  

 

This happens so often in quantum mechanics that they came up with a new mathematical symbol called the reduced Planck constant ħ or h-bar to get rid of the 2π.

 

This reduced the size of equations, but I believe it also removes something fundamental about the process that the mathematics is representing.

 

In this theory the 2π represents circular geometry that is formed by spherical symmetry.

 

The spherical geometry can be based on Huygens’ Principle of 1670, that says:

“Every point on a wave front has the potential for a new spherical 4πr² wave”

Each point on the curvature of the wave front forms the potential for a new light photon ∆E=hf of energy, a new oscillation or vibration as the future unfolds.

We have to square the radius r² of the sphere 4πr² because the process in unfolding on the spherical surface. Therefore we have the speed of light squared c² we have the charge of the electron squared e² and the probability wave function is squared Ψ².

 

The interior of the sphere 4πr² is naturally three-dimensional forming our three dimensional space of everyday life.

 

The two dimensional spherical surface forms a manifold for the movement of positive and negative charge.

 

Our ever changing world is based on this manifold and it could be called the fourth dimension of time.

 

Within this process the Planck constant h/2π represents a minimum quantity in space and time. This is formed by the centre of the sphere being a constant, with the radius r² squared being a constant relative to the spherical surface. The 2π represents circular geometry that is formed by the spherical symmetry with a constant πr² relationship between the radius of the circle and its area.