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...
