Richard Feynman’s “average on a ball” the second derivative as a spherical concept

Richard Feynman’s “average on a ball” the second derivative as a spherical concept.
In this video we have Richard Feynman in 1964 talking about his “average on a ball” concept. This video puts forward the idea that the “average on a ball” concept represents a fundamental geometry that forms the curvature of spacetime and the probabilistic nature of Quantum Mechanics.
Mathematically this gives us a geometric interpretation of the second derivative.
This spherical geometry is not just in electrical charge e² distribution it can also be found in Schrodinger equation Ψ², in the wavefunction potential that tells us the probability amplitude of where a particle is.
Feynman says: “if you want to know what the potential is here, you tell me what it is on the surface of any ball”
If we take Huygens’ Principle that says:
“Every point on a wave front has the potential for a new spherical 4πr² wave”
Each point on the curvature of a Feynman’s ball can represent the potential for a new photon ∆E=hf of energy, a new oscillation or vibration as a probabilistic future unfolds. Light is a spherical wave with particle characteristics when it interacts with the electron probability cloud that surrounds the nucleus of an atom. When this happens, it form a photon electron coupling and our three-dimensional world changes slightly with potential energy exchanging into the kinetic Eₖ=½mv² energy of electrons.
We experience this change from the centre of our own reference frame in the present moment. With a past, that has gone forever and an uncertain future coming into existence photon by photon, moment by moment forming an infinity of possibilities and opportunities.
I have let Richard Feynman have the last word on this video.

 

The Process of Reality ~ God’s Continuous Creation of Light Space and Time

This video is divided up into eleven parts, you can choose which part to see. All the parts are based on the same geometrical process of energy exchange. Part One: The Spherical cosmology of Ancient Greece Part Two: 02:56 Kepler’s universal laws of planetary motion Part Three: 05:10 Galileo's square-cube law and square of time Part Four: 07:52 The Fibonacci Spiral arises out of broken spherical symmetry Part Five: 10:32 Euler's number e within the geometry of Space and Time Part Six: 21:41 The Constants of physics arise out of geometry Part Seven: 24:42 Quantum Entanglement arises out of spherical symmetry Part Eight: 26:53 The Conformal Geometry of cosmology Part Nine: 27:38 Spherical Cosmology of a universal process Part Ten: 35:39 Consciousness arises from a universal process Part Eleven: 38:24 Free Will within a Universal Process We only need three dimensions and one variable in the form of time, if we have a geometrical process that uses spherical symmetry. The geometrical aspect of this process 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 photon ∆E=hf of energy, a new oscillation or vibration as the future comes into existence. We have to square the radius r² of the sphere 4πr² because the process in unfolding on the spherical surface. The 2D surface forms a manifold for the two aspect of positive and negative charge. 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 with centre of the sphere forming a constant of minimum quantity within the geometrical process. We see this mathematically h/2π as the Planck Constant h divided by 2π representing the geometry. The Planck constant h/2π represents minimum quantity in space and time and is formed by the radius r² squared being a constant relative to the spherical surface. The 2π representing circular geometry that is formed by the spherical symmetry. In this theory light and electrons (matter) are waves with particle characteristics as a probabilistic ∆×∆pᵪ≥h/4π future unfolds. This process is continuously unfolding in relation to the electron sphere 4πr² of probability that surrounds the nucleus of atoms and the wavelength of light. Wave particle duality creates a blank canvas that we can interact with forming a future relative to the energy and momentum of our actions. The Planck constant h/2π is a constant of action within the process that forms the passage of time ∆E∆t≥h/2π. We have an uncertain future continuously coming into existence quanta by quanta, moment by moment, with light photon energy ∆E=hf exchanging into the kinetic Eₖ=½mv² energy of matter, in the form of electrons. The video: Experimental Physics into the unexplained https://www.youtube.com/watch?v=HViww... This video goes through the experiments that mainstream physics can’t understand. It starts with the Two Slit Experiment this experiment that has been called the only true mystery. But it can be explained if the future is explained as an emergent property within the reference frame of the experiment. The next experiment we will look at is The Delayed Choice Quantum Eraser Experiment. It has been said this is by far the strangest and most thought provoking experiments in physics! People have even gone as far as to say that this experiment show that the future can affect the past. Another very beautiful experiment that mainstream physics can’t explain is the experiment with polarizing filters known as the Polarization Paradox. This is a dramatic example of the measurement changing what is being measured. Some people say this is the 'observer effect' and is linked in some way to consciousness. But it is not because we can repeat the experiment with microwaves that are not even visible to the observer. The next experiment we will look at in the EPR experiment. What is nice about this experiment is that it started out in the 1930 as a thought experiment that was suppose to highlight that quantum mechanics could not be a complete theory. But today with modern technology we can actually perform the EPR experiment. The next experiment is Schrodinger's Cat thought experiment. The final experiment is the Readiness Potential problem of conscious decisions making. It has been found experimentally that when a person is asked to move or make a decision the electrical activity of their brain forms a pattern of activity known as a Readiness Potential. What cannot be explained is that the reported time of each decision was consistently a short period (some tenths of a second) after the Readiness Potential appeared. The problem is there does not seem to be enough time for free-will to take place!

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...