Mathematical Physics

   

Temporal Calculus (The Calculus of Time-Points in Space)

Authors: Stephen H. Jarvis

The application of the Calculus of Infinitesimals (differentials/integrals) to physical analysis, given the paradoxical lack of precise spatial and temporal relevance it grants the study of the elementary particles in both quantum and relativistic aspects of determination, despite the precision of such mathematics, is questioned. To offer more precise relevance to time and space and associated phenomena, a new proposal for the mathematics of time and space, as an application of mathematics to the paradigm of time, is proposed, as the calculus of time-points in space (Temporal Calculus), a calculus that does not focus on space primarily, yet time. The temporal calculus presented here explains two basic features regarding the proposed mechanics between time and space, namely indeterminism (here as defined by the uncertainty between time and space), and the idea of time mandating a spherical wave-function for any point in space. As a standard of reference, this time-algorithm is based o n the human temporal perception ability in the three paradigms most commonly associated to the human temporal perception ability, namely time-before, time-now, and time-after, assigning mathematical values to those qualities that then give rise to the “golden-ratio” equation, which when applied to 3-d space forms a fractal (golden-ratio) lattice of time-points that is able to derive all the known equations and constants of physical phenomena, from mass to charge, particle energy to particle spin, presenting the case not for an infinitely metrically expanding universe, yet a steady-state time-space system that successfully links the CMBR with the vacuum permittivity and permeability, governing the redshift of light in space.

Comments: 35 Pages.

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Submission history

[v1] 2020-08-15 19:39:03
[v2] 2020-08-17 00:42:57
[v3] 2020-08-26 04:29:51

Unique-IP document downloads: 378 times

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