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Time and a Temporally Statistical Quantum Geometrodynamics

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Eiji Konishi

High Energy Physics - Theory · Submitted 3 Jan 2013

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Finally, by the extension of the time reparametrization symmetry to all of the temporal hidden variables, we treat the issue of time reversal symmetry breaking as the spontaneous breaking of this extended time reparametrization symmetry.

how it is stated · asserted 1.00 read the record →

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arXiv ID1301.0508 (version 3)
Pith IDKZO5FQJ7, Pith's permanent record of this paper and its review
CitationEiji Konishi. "Time and a Temporally Statistical Quantum Geometrodynamics." arXiv:1301.0508 (2013). https://pith.science/paper/KZO5FQJ7
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,281 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.06 · human participants 0.02 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.08 · mentions code or data availability 0.03.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; .

This paper is an exposition of the author's recent work (arXiv:1001.3382 [hep-th], arXiv:1005.5430 [cond-mat.dis-nn], arXiv:1212.4956 [quant-ph]) on modeling M-theory vacua and quantum mechanical observers in the framework of a temporally statistical description of quantum geometrodynamics, including measurement processes based on the canonical theory of quantum gravity. In this paper we deal with several fundamental issues of time: the time-less problem in canonical quantum gravity; the physical origin of state reductions; and time-reversal symmetry breaking. We first model the observers and consider the time-less problem by invoking the time reparametrization symmetry breaking in the quantum mechanical world as seen by the observers. We next construct the hidden time variable theory, using a model of the gauged and affinized S-duality symmetry in type IIB string theory, as the statistical theory of time and explain the physical origin of state reductions using it. Finally, by the extension of the time reparametrization symmetry to all of the temporal hidden variables, we treat the issue of time reversal symmetry breaking as the spontaneous breaking of this extended time reparametrization symmetry. The classification of unitary time-dependent processes and the geometrizations of unitary and non-unitary time evolutions using the language of the derived category are also investigated.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 This paper is an exposition of the author's recent work (arXiv:1001.3382 [hep-th], arXiv:1005.5430 [cond-mat.dis-nn], arXiv:1212.4956 [quant-ph]) on modeling M-theory vacua and quantum mechanical observers in the framework of a temporally statistical description of quantum geometrodynamics, including measurement processes based on the canonical theory of quantum gravity. contribution 0.91 0.40 0.08 asserted 0.94
s1 In this paper we deal with several fundamental issues of time: the time-less problem in canonical quantum gravity; the physical origin of state reductions; and time-reversal symmetry breaking. contribution 0.52 0.38 0.05 asserted 0.72
s2 We first model the observers and consider the time-less problem by invoking the time reparametrization symmetry breaking in the quantum mechanical world as seen by the observers. method 0.76 0.88 0.07 asserted 1.00
s3 We next construct the hidden time variable theory, using a model of the gauged and affinized S-duality symmetry in type IIB string theory, as the statistical theory of time and explain the physical origin of state reductions using it. method 0.76 0.90 0.13 asserted 1.00
s4 Finally, by the extension of the time reparametrization symmetry to all of the temporal hidden variables, we treat the issue of time reversal symmetry breaking as the spontaneous breaking of this extended time reparametrization symmetry. contribution 0.55 0.89 0.17 asserted 1.00
s5 The classification of unitary time-dependent processes and the geometrizations of unitary and non-unitary time evolutions using the language of the derived category are also investigated. contribution 1.00 0.86 0.07 asserted 0.93

What kind of paper the classifier reports this is: theoretical result 0.91 · evidence from proof or derivation 0.52.

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not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

This paper is an exposition of the author's recent work (arXiv:1001.3382 [hep-th], arXiv:1005.5430 [cond-mat.dis-nn], arXiv:1212.4956 [quant-ph]) on modeling M-theory vacua and quantum mechanical observers in the framework of a temporally statistical description of quantum geometrodynamics, including measurement processes based on the canonical theory of quantum gravity. In this paper we deal with several fundamental issues of time: the time-less problem in canonical quantum gravity; the physical origin of state reductions; and time-reversal symmetry breaking. We first model the observers and consider the time-less problem by invoking the time reparametrization symmetry breaking in the quantum mechanical world as seen by the observers. We next construct the hidden time variable theory, using a model of the gauged and affinized S-duality symmetry in type IIB string theory, as the statistical theory of time and explain the physical origin of state reductions using it. Finally, by the extension of the time reparametrization symmetry to all of the temporal hidden variables, we treat the issue of time reversal symmetry breaking as the spontaneous breaking of this extended time reparametrization symmetry. The classification of unitary time-dependent processes and the geometrizations of unitary and non-unitary time evolutions using the language of the derived category are also investigated.

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What this paper does with the arXiv papers it cites

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

What it cites · 83 sentences without a confident label

Builds on 1 paper
  • Due to these structures, the theory studied in this paper can be considered as a generalization of the standard non-perturbative formulation of type IIB string theory [ref] that resolves the non-unitarity issues.

    A Large-N Reduced Model as Superstring · Gauged and Affinized S-Duality Symmetry in Type IIB String Theory · 0.86

Uses the method or tool of 4 papers
  • [ref] Next, in the Becchi-Rouet-Stora-Tyutin (BRST) formalism of this gauge theory, [ref] by invoking the Hanada-Kawai-Kimura (HKK) result [ref] , we introduce all the ingredients of the model, that is, the spatial expanses, space-time dimensionality, the cosmic time increment as a function of the hidden time variable, time development of matter and the structure of the interactions between matter, by using the vacuum wave function that is interpreted as the wave function of the Universe.

    Modeling M-Theory Vacua via Gauged S-Duality · Introduction · 0.88

  • [ref] Next, in the Becchi-Rouet-Stora-Tyutin (BRST) formalism of this gauge theory, [ref] by invoking the Hanada-Kawai-Kimura (HKK) result [ref] , we introduce all the ingredients of the model, that is, the spatial expanses, space-time dimensionality, the cosmic time increment as a function of the hidden time variable, time development of matter and the structure of the interactions between matter, by using the vacuum wave function that is interpreted as the wave function of the Universe.

    Describing Curved Spaces by Matrices · Introduction · 0.88

  • On the basis of this $A_∞$ functor, the equivalence principle for all the quantized conventional Chan-Paton gauge interactions from the point of view of gauged S-duality is formulated by invoking the minimal model theorem, [ref] and we suggest that $A_∞$ covariance is a principle of the theory of gauged S-duality.

    math.QA/0306332 · $A_∞$ Refinement: Overview · 0.92

Cites as support 2 papers
  • [ref] Indeed, even when we write down the matter Schr$ö$dinger equations, we already assume the spontaneous breakdown of the time reparametrization symmetry.

    Quantum Mechanical Observers and Time Reparametrization Symmetry · Quantum Classes and Reparametrization Symmetries · 0.98

  • [ref] In particular, evidence has been found for the integrability of string/M-theory: there are as many symmetry charges as degrees of freedom in the theory when we consider string/M-theory as a many-body system of D-branes.

    Dirichlet-Branes and Ramond-Ramond Charges · Gauged and Affinized S-Duality Symmetry in Type IIB String Theory · 0.98

Cites as background 15 papers
  • we present a brief account of the basic ideas of the Wheeler-De Witt equation in four-dimensional space-time, using Planck units.[To simplify the explanation, here we consider the case in which the cosmological constant is absent.] [ref] (In the connection to the model in

    Quantum Mechanical Observers and Time Reparametrization Symmetry · Wheeler De-Witt Equation · 0.85

  • [ref] The contents of this appendix are about the vacua before we impose Eq.([ref]).

    Modeling M-Theory Vacua via Gauged S-Duality · Glial Modulation · 0.87

  • This fundamental issue of the absence of a Newtonian, external time in the canonical theory of quantum gravity is the so-called `time-less problem' [ref] and its details will be studied in this paper.

    Canonical Quantum Gravity and the Problem of Time · Introduction · 0.81

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