Theory of Dimensional Randomness

Abstract

There is still no scientific consensus on the existence of ontic 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 built on a toy model in 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 spacetime is able to explain several physical phenomena in the set of dimensional random events. Among these are the event horizon in black holes, the hypersensitivity to initial conditions, and the Heisenberg's uncertainty principle. We develope the theorem of dimensional randomness for proving that a non-causal theory in a dimensionally incomplete space have correspondence with a causal theory in a dimensionally complete space. The theorem is used to question the fundamentally probabilistic nature of quantum mechanics through an implicit assumption that is made about the number of dimensions in spacetime for the development of Bell's theorem.