Grassmann algebraic field theory, entanglement and fermionic hidden clocks

2025/09/04 by Han Geurdes, Geurdes, Han · 1 voice
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Noncommutative and Quantum Gravity Theories #Quantum and Classical Electrodynamics

paper · doi:10.1016/j.nexres.2025.101268

openalex created_date 2025/12/28 · openalex publication_date 2025/12/28 · crossref created 2025/12/28 · crossref issued 2026/03/01 · crossref published 2026/03/01 · crossref published-print 2026/03/01 · crossref deposited 2026/07/09 · crossref indexed 2026/07/14 · openalex updated_date 2026/07/15

Abstract

With Grassmann algebra as fermions in a Feynman path-integral approach to field theory, the quantum correlation can be recovered. This means that a quantum field of Grassmann variables can explain the entanglement. In turn, this agrees with Einstein's ideas of field theory and local principles. Moreover, Grassmann variables can refer to an empirical reality like e.g. in QCD. Hence, a possible but still fictitious fermionic field in conjunction with the previously introduced hidden clocks as Einstein variables, likely describes this empirical reality.

Citations

• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• On the Einstein Podolsky Rosen paradox
• Quantum contextuality of spin-1 massive particles
• Entanglement of Free Fermions on Hamming Graphs
• Grassmann tensor network states and its renormalization for strongly correlated fermionic and bosonic states
• Bell Inequalities and Pseudo-functional densities

Discussions

• A paper that shows that the Nobelprize Physics 2022 was given to pseudo science. doi.org/10.1016/j.ne... 1. There's no proof of nonlocality in physical entanglement (photons(. The experiment is fl [bsky, 0 points, 0 comments]