Wednesday 22 February 2023

Infinite path integrals of Richard Feynman’s Quantum Electrodynamics QED

In quantum electrodynamics, we have a beautiful formula due to Richard Feynman.

But there is the puzzle of infinite path integrals this is like saying that when you allow a particle to go from A to B you actually allow it to go on all possible paths.

 Then what you do is add up all the phases for all of the paths and that gives you the amplitude to go from A to B and then you square it, to get the probability.

You have the sum over all possible space times that connect you to a given moment in time to the universe at a later moment in time.

This theory explains this by spherical 4πr² geometry based on Huygens’ Principle with every point on a wave front having the potential for a new spherical wave.

The light sphere will radiate out forming a potential infinite number of path integrals, or what I like to call time lines. 

This is based on the simple fact that there are an infinite number of line symmetries within a sphere.

When the wave front comes into contact with the electrons of an atom it will form a photon electron coupling or dipole moment. This will form a new spherical wave that will radiate out forming a probabilistic uncertain ∆×∆pᵪ≥h/4π future.

We measure this process of energy exchange as a ‘period of time’ relative to the atoms of the periodic table.


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