Arrow of Time in Quantum Mechanics and Set Theory

The set-theory twist of quantum mechanics uncovers forcing in axiomatic Zermelo–Fraenkel set theory as a viable tool to understand the singularities in a physical spacetime and serves as a link between the quantum and classical worlds. The random forcing explains the emergence of time in quantum mechanics on infinite-dimensional Hilbert spaces. A natural flow of randomness from fully random to deterministic and classical, as in the measurement procedure and the decoherence process, becomes responsible for the cosmological arrow of time and also for the local-coordinate time in spacetime.

• Publication year

  2025

• Venue

  Entropy

• Publication date

  2025-08-26

• Fields of study

  Medicine, Physics, Computer Science

• Identifiers
  DOI 10.3390/e27090904PMID 41008030PMCID 12468848
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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