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This summary is machine-generated.

The fundamental asymmetry between time and space may stem from a violation of time reversal (T) symmetry. This violation explains why physical systems evolve over time but not uniformly across space.

Keywords:
arrow of timetimeviolation of time-reversal symmetry

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Area of Science:

  • Theoretical Physics
  • Quantum Mechanics
  • Cosmology

Background:

  • A fundamental asymmetry exists between time and space in physics.
  • This asymmetry is conventionally considered elemental, dictating how physical systems evolve.
  • Current models describe time evolution and spatial translation differently.

Purpose of the Study:

  • To investigate the origins of the time-space asymmetry.
  • To explore the potential role of time reversal (T) symmetry violation.
  • To re-evaluate the elemental nature of time evolution.

Main Methods:

  • Utilized a sum-over-paths formalism.
  • Analyzed the implications of T symmetry being obeyed versus violated.
  • Examined the localization of states in space and time.

Main Results:

  • If T symmetry is obeyed, time and space are treated symmetrically, leading to states localized in both.
  • In this symmetric case, equations of motion and conservation laws are inapplicable.
  • Violation of T symmetry results in states localized in space but unbounded in time, creating the observed asymmetry.

Conclusions:

  • The time-space asymmetry may not be elemental but rather a consequence of T symmetry violation.
  • T symmetry violation provides a potential explanation for the unidirectional evolution of physical systems.
  • This suggests a deep connection between T violation and the fundamental nature of time evolution.