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Towards energy discretization in quantum cosmology.

A S Fernandes1, R G G Amorim2, A J S Capistrano3

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This study applies quantum cosmology to teleparallel gravity, quantizing gravitational energy density. The research reveals that empty space experienced expansion in the early universe.

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Cosmology

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Area of Science:

  • Cosmology
  • Quantum Gravity
  • Teleparallel Gravity

Background:

  • The standard cosmological model faces challenges explaining early universe phenomena.
  • Teleparallel gravity offers an alternative framework to general relativity.
  • Quantization of gravitational fields is a key pursuit in theoretical physics.

Purpose of the Study:

  • To apply a quantum cosmological model within the framework of teleparallel gravity.
  • To investigate the quantization of gravitational energy density.
  • To explore the implications for the early universe's expansion.

Main Methods:

  • Utilized a vacuum solution within the teleparallel gravity model.
  • Employed the Weyl quantization procedure to discretize gravitational energy density.
  • Derived a discrete expression for gravitational energy.

Main Results:

  • Successfully quantized the gravitational energy density using the Weyl procedure.
  • Obtained a discrete spectrum for gravitational energy.
  • Demonstrated that the quantized gravitational energy leads to an expanding empty space.

Conclusions:

  • The quantum cosmological model in teleparallel gravity provides a mechanism for early universe expansion.
  • Quantization of gravitational energy is a crucial factor in understanding cosmic origins.
  • This approach offers new insights into the nature of spacetime and gravity.