Based on a dynamic geometry the mathematics of
quantum mechanics can represent the physics of time with classical physics
representing processes over a ‘period of time’.
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 surface forms a manifold or
boundary condition for positive and negative charge as the future unfolds
photon by photon.
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.
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