Mathematical Physics

   

A Mathematical Analysis of Zero-Dimensionality in Deriving the Natural Numbers, Offering a Solution to Goldbach’s Conjecture and the Riemann Hypothesis

Authors: Stephen H. Jarvis

Examined here is zero-dimensional space, or more simply the mathematics and physics of a hypothetical point. The infinitesimal-infinite (scaling) paradox that exists with a point as zero-dimensional space is acknowledged and rectified. The solution presented is central to proposing hypothetical time-points for zero-dimensional space from an infinitesimal scale to an infinite scale as timespace. The next step is to then locate a timespace time-point relative to another timespace time-point, creating the non-local dimensions of time-after and time-before. From such are derived 1d, 2d, and 3d timespace. By such, a mathematical formalism is developed for this timespace to establish the natural numbers and associated primes. By this process Goldbach’s conjecture can be shown to be upheld in using 1d timespace. Similarly, the Riemann hypothesis is shown to be upheld in using a 2d timespace complex plane. From there 3d timespace is shown to exhibit prime number features relevant to physical phenomena, there the fundamental relationship between EM and gravity.

Comments: 26 Pages.

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Submission history

[v1] 2022-03-30 02:38:24
[v2] 2022-04-07 15:14:28

Unique-IP document downloads: 323 times

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