How Classical Physics emerges out of Quantum Mechanics - potential into ...

If we think of Classical Physics as processes over a ‘period of time’ as in Newton’s differential equations. Then the mathematics of Quantum Mechanics can represent the process of time itself. We have a probabilistic uncertain ∆×∆pᵪ≥h/4π future unfolding with the exchange of photon ∆E=hf energy transforming potential into the kinetic Eₖ=½mv² energy of electrons.

As potential energy is transformed into the kinetic energy of motion, our classical everyday world changes. We measure this process as a ‘period of time’ relative to the atoms of the Periodic Table and the wavelength of the light. Our Universe is a three-dimensional continuum with the spontaneous absorption and emission of photon energy continuously forming a new probabilistic future photon-by-photon, moment by moment.

Spherical 4πr² geometry is fundamental to this process, light wave radiate out spherically with their interior forming the characteristic of three-dimensional space with the spherical surface forming a probabilistic wave front. The two-dimensional spherical surface forms a manifold or boundary condition for positive and negative charge as the future unfolds. We have to square the radius r² because process is unfolding relative to the surface of the sphere. Therefore we have the speed of light squared c² we have the charge of the electron squared e² and the probability wave function squared Ψ².

In the equation for Heisenberg’s Uncertainty Principle ∆×∆pᵪ≥h/4π we see 4π representing the spherical geometry. This principle says you cannot perfectly measure the location and movement of a subatomic particle at the same time. It also says that you cannot measure the energy of anything perfectly and that the shorter the ‘time period’ you measure the worse your measurement is. Taken to the extreme if you try to make a measurement in near zero time your measurement will be impossible to make. This is logical if we have a probabilistic uncertain future coming into existence with each photon electron interaction. Therefore, at the smallest scale of this geometrical process we have a fundamental limit to space and time. This is represented by the Planck constant h/2π linked to 2π representing circular geometry that is formed by the continuous spherical symmetry.

Diagram of Classical Physics and Quantum Mechanics.

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