Subjective spacetime derived from a causal histories approach

Yukio Gunji, Taichi Haruna, Daisuke Uragami, Asaki Nishikawa

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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
Volume238
Issue number19
DOIs
Publication statusPublished - 2009 Oct 1
Externally publishedYes

Fingerprint

compatibility
histories
ambiguity
quotients

Keywords

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

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Subjective spacetime derived from a causal histories approach. / Gunji, Yukio; Haruna, Taichi; Uragami, Daisuke; Nishikawa, Asaki.

In: Physica D: Nonlinear Phenomena, Vol. 238, No. 19, 01.10.2009, p. 2016-2023.

Research output: Contribution to journalArticle

Gunji, Yukio ; Haruna, Taichi ; Uragami, Daisuke ; Nishikawa, Asaki. / Subjective spacetime derived from a causal histories approach. In: Physica D: Nonlinear Phenomena. 2009 ; Vol. 238, No. 19. pp. 2016-2023.
@article{74cec266fc1e47beb1f96ab89246cdc0,
title = "Subjective spacetime derived from a causal histories approach",
abstract = "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 d{\'e}j{\`a} vu experience and/or schizophrenic time.",
keywords = "Lattice, McTaggart, Partially ordered set, Spacetime, Subjective time",
author = "Yukio Gunji and Taichi Haruna and Daisuke Uragami and Asaki Nishikawa",
year = "2009",
month = "10",
day = "1",
doi = "10.1016/j.physd.2009.07.011",
language = "English",
volume = "238",
pages = "2016--2023",
journal = "Physica D: Nonlinear Phenomena",
issn = "0167-2789",
publisher = "Elsevier",
number = "19",

}

TY - JOUR

T1 - Subjective spacetime derived from a causal histories approach

AU - Gunji, Yukio

AU - Haruna, Taichi

AU - Uragami, Daisuke

AU - Nishikawa, Asaki

PY - 2009/10/1

Y1 - 2009/10/1

N2 - 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.

AB - 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.

KW - Lattice

KW - McTaggart

KW - Partially ordered set

KW - Spacetime

KW - Subjective time

UR - http://www.scopus.com/inward/record.url?scp=69249230779&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=69249230779&partnerID=8YFLogxK

U2 - 10.1016/j.physd.2009.07.011

DO - 10.1016/j.physd.2009.07.011

M3 - Article

AN - SCOPUS:69249230779

VL - 238

SP - 2016

EP - 2023

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

SN - 0167-2789

IS - 19

ER -