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Preprint / Version 2

Theory of Dimensional Randomness

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DOI:

https://doi.org/10.1590/SciELOPreprints.5282

Keywords:

True Randomness, Heisenberg’s Uncertainty Principle, Black Holes, Chaotic Systems

Abstract

There is still no scientific consensus on the existence of objective randomness. Understanding it is especially important for physics, as the probabilistic nature of quantum mechanics is believed to be irreducible. This theory aims to explain how the existence of true randomness is possible for the referential of a non-omniscient observer.
The theory is constructed as a toy model over two thought experiments. We propose the concept of invisible and inaccessible laws as explanation for the occurrence of unpredictability and states that it represents the physical reification of Gödel's incompleteness theorem. The article proposes that the geometry of space-time is able to explain several physical phenomena as a subset of true random events. Among these are the event horizon in black holes, the hypersensitivity to initial conditions, and the Heisenberg's uncertainty principle. It is also able to refute the ideas of determinism in classical physics as well as to explain why deterministic Turing Machines are only able to execute pseudo-random number generators.

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Posted

12/31/2022 — Updated on 01/02/2023

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How to Cite

Theory of Dimensional Randomness. (2023). In SciELO Preprints. https://doi.org/10.1590/SciELOPreprints.5282 (Original work published 2022)

Section

Exact and Earth Sciences

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