Non-Integer Multiverse

TL;DR

This paper explores a multiverse framework where the number of universes is uncountably infinite, proposing a narrative that derives Born's Rule without assuming probability, addressing foundational issues in quantum mechanics.

Contribution

It introduces a novel multiverse model with non-integer universes, providing a new derivation of Born's Rule without relying on traditional probability assumptions.

Findings

Born's Rule emerges naturally in the non-integer multiverse

The multiverse's uncountable universes reconcile quantum discontinuity and continuity

Provides a philosophical perspective on quantum laws and measurement

Abstract

In quantum mechanics physical processes procede by two different mechanisms. John von Neumann enumerated them as 1, the "discontinuous ... arbitrary changes by measurement," and 2, continuous evolution via the Schroedinger Equation. That the physical world does not obey a single overriding law - unitary evolution by the Schroedinger Equation - is philosophically disturbing to some. Others face it with equanimity. One narrative that preserves the findings of quantum mechanics yet does produce pure unitary evolution is that of the multiverse. Given below is the narrative by which Born's Rule emerges without pre-assigning to it the notion of probability. It requires that the number of universes in the multiverse not be enumerable!