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de Sitter Space as a Resonance.

Jonathan Maltz1,2, Leonard Susskind2

  • 1Center for Theoretical Physics and Department of Physics, University of California at Berkeley, Berkeley, California 94720, USA.

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This summary is machine-generated.

String theory lacks a quantum mechanical description for de Sitter spacetimes. This study proposes a framework where de Sitter space is analogous to a scattering resonance, potentially resolving this challenge.

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Area of Science:

  • Theoretical Physics
  • Cosmology
  • String Theory

Background:

  • A quantum mechanical formulation of de Sitter cosmological spacetimes remains an open problem in string theory.
  • De Sitter space is a key feature in some cosmological models but lacks a consistent quantum description.

Purpose of the Study:

  • To propose a novel framework for understanding de Sitter spacetimes within quantum mechanics.
  • To establish an analogy between de Sitter space and resonances in scattering processes.

Main Methods:

  • Conjecturing a rigorous framework for de Sitter space.
  • Investigating transition amplitudes between asymptotically supersymmetric flat vacua.
  • Employing constrained instantons for illustrative calculations.

Main Results:

  • The proposed framework equates the status of de Sitter space to a resonance in a scattering process.
  • Identified resonant poles in transition amplitudes characteristic of metastable intermediate states.
  • A calculation using constrained instantons provides a concrete illustration of the conjecture.

Conclusions:

  • The conjecture offers a potential pathway towards a quantum mechanical formulation of de Sitter spacetimes.
  • The analogy with scattering resonances may provide new insights into the nature of de Sitter space.
  • Constrained instanton calculations support the proposed framework.