Completely discretized, finite quantum mechanics

DOI10.1007/s10701-023-00726-6arXiv2307.11927OpenAlexW4388419133MaRDI QIDQ6192407

Sean M. Carroll

Publication date: 12 February 2024

Published in: Foundations of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.11927

zbMATH Keywords

Hilbert spaceautomataquantum mechanicsfinitismmathematical realismdiscrete theories

Mathematics Subject Classification ID

Quantum field theory; related classical field theories (81Txx) Foundations, quantum information and its processing, quantum axioms, and philosophy (81Pxx) General relativity (83Cxx)

Cites Work

• Strict finitism and the logic of mathematical applications
• Is Hilbert space discrete?
• ``Forget time
• What is mathematical truth?
• De Sitter space without dynamical quantum fluctuations
• The large-\(N\) limit of superconformal field theories and supergravity
• The causal set approach to quantum gravity
• Physical theories, eternal inflation, and the quantum universe
• Locality from the spectrum
• COSMOLOGICAL BREAKING OF SUPERSYMMETRY?
• The Hilbert space of quantum gravity is locally finite-dimensional
• Unnamed Item

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