Quantum set algebra for quantum set theory

TL;DR

This paper introduces a quantum set algebra framework for quantum set theory, modeling quantum field theory regularization through modular quantum cellular computations using spins and Fermi-Dirac assemblies.

Contribution

It presents a novel algebraic approach to quantum set theory based on modular quantum cellular computations and Fermi-Dirac assemblies.

Findings

Quantum field theory regularized via modular quantum cellular computations.

Fermi-Dirac assemblies modeled as spins in various dimensions.

Bose statistics approximated by Palev statistics of Fermi-Dirac pairs.

Abstract

Quantum field theory can be physically regularized by modularizing it on several levels of aggregation. Since computation is already thoroughly modularized, physical experiments are treated here as quantum relativistic cellular computations with spins for cells, address, memory, and control registers. For regularity the modules are taken to be iterated Fermi-Dirac assemblies. These are shown to be spins in various dimensions. Bose statistics are expressed as approximations to the Palev statistics of pairs of Fermi-Dirac quanta.