The Computable Universe: From Prespace Metaphysics to Discrete Quantum Mechanics
Martin Leckey

TL;DR
This paper explores a prespace underlying space-time, proposing a discrete, computational model that addresses quantum measurement issues and offers new insights into entropy and the arrow of time.
Contribution
It introduces the concept of prespace as a discrete structure underlying space-time, proposing a novel quantum mechanics model called CCQM to solve the measurement problem.
Findings
Proposes a prespace model underlying space-time.
Introduces Critical Complexity Quantum Mechanics (CCQM).
Provides a new entropy measure for quantum states.
Abstract
The central idea of this work is the concept of prespace, a hypothetical structure that is postulated to underlie the fabric of space or space-time. I consider how such a structure could relate to space and space-time, and the implications of the existence of this structure for quantum theory. I compare space and space-time to other spaces used in physics, such as configuration space, phase space, and Hilbert space. I support the 'property view' of space, opposing both the traditional views of space and space-time, substantivalism and relationism. I argue that configuration space has a special status in the microscopic world similar to the status of position space in the macroscopic world. The prespace structure is compared with a computational system, in particular to a cellular automaton, in which space and all physical quantities are broken into discrete units. One way open for a…
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Taxonomy
TopicsComputability, Logic, AI Algorithms · Cellular Automata and Applications · Quantum Mechanics and Applications
