The Relativity of Existence

TL;DR

This paper argues that the fundamental existence of our universe can be understood as mathematical existence relative to its axioms, providing logical explanations for why the universe has its particular properties.

Contribution

It introduces the idea that existence is relative to mathematical axioms and offers logical arguments supporting this view, explaining various universe features.

Findings

Existence is mathematically relative to universe axioms

Provides logical reasons for universe's fine-tuning

Explains universe's physical laws and dimensions

Abstract

Despite the success of modern physics in formulating mathematical theories that can predict the outcome of experiments, we have made remarkably little progress towards answering the most fundamental question of: why is there a universe at all, as opposed to nothingness? In this paper, it is shown that this seemingly mind-boggling question has a simple logical answer if we accept that existence in the universe is nothing more than mathematical existence relative to the axioms of our universe. This premise is not baseless; it is shown here that there are indeed several independent strong logical arguments for why we should believe that mathematical existence is the only kind of existence. Moreover, it is shown that, under this premise, the answers to many other puzzling questions about our universe come almost immediately. Among these questions are: why is the universe apparently fine-tuned to be able to support life? Why are the laws of physics so elegant? Why do we have three dimensions of space and one of time, with approximate locality and causality at macroscopic scales? How can the universe be non-local and non-causal at the quantum scale? How can the laws of quantum mechanics rely on true randomness?