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.
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.
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