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Time as a consequence of internal coherence.

Leandro R S Mendes1, Diogo O Soares-Pinto1

  • 1Instituto de Física de São Carlos, Universidade de São Paulo, Caixa Postal 369, 13560-970, São Carlos, São Paulo, Brazil.

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Summary
This summary is machine-generated.

The Page-Wootters mechanism explains time

Keywords:
Page–Wootters mechanismasymmetryquantum coherence

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Area of Science:

  • Quantum mechanics
  • Thermodynamics

Background:

  • The concept of time remains poorly understood.
  • The Page-Wootters mechanism offers a framework for understanding time's passage.
  • This mechanism views time as an inaccessible coordinate, with its apparent flow arising from subsystem correlations.

Purpose of the Study:

  • To propose a quantitative measure for the relational aspect of the Page-Wootters mechanism.
  • To identify the essential components for the emergence of time within this model.
  • To link the emergence of time to quantum thermodynamics and extractable work.

Main Methods:

  • Developing a novel measure to quantify relational properties.
  • Analyzing the Page-Wootters mechanism through the lens of quantum correlations.
  • Connecting theoretical findings to principles of quantum thermodynamics.

Main Results:

  • Internal coherence is identified as a necessary condition for time's emergence in the Page-Wootters model.
  • A direct relationship is established between internal coherence and extractable work from quantum coherence.
  • The proposed measure effectively captures the relational character of time's passage.

Conclusions:

  • The study highlights the crucial role of internal coherence in the Page-Wootters mechanism for time emergence.
  • Findings bridge the gap between quantum mechanics and thermodynamics concerning the nature of time.
  • The research provides a new perspective on quantifying time's relational properties and its connection to quantum resources.