Subjective spacetime derived from a causal histories approach

Yukio Pegio Gunji*, Taichi Haruna, Daisuke Uragami, Asaki Nishikawa

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


The internal description of spacetime can reveal ambiguity regarding an observer's perception of the present, where an observer can refer to the present as if he were outside spacetime while actually existing in the present. This ambiguity can be expressed as the compatibility between an element and a set, and is here called a / {a}-compatibility. We describe a causal set as a lattice and a causal history as a quotient lattice, and implement the a / {a}-compatibility in the framework of a causal histories approach. This leads to a perpetual change of a pair of causal set and causal history, and can be used to describe subjective spacetime including the déjà vu experience and/or schizophrenic time.

Original languageEnglish
Pages (from-to)2016-2023
Number of pages8
JournalPhysica D: Nonlinear Phenomena
Issue number19
Publication statusPublished - 2009 Oct 1
Externally publishedYes


  • Lattice
  • McTaggart
  • Partially ordered set
  • Spacetime
  • Subjective time

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics


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