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Area of Science:

  • Theoretical physics
  • Cosmology
  • Quantum gravity

Background:

  • General relativity and teleparallel gravity are currently indistinguishable via classical experiments.
  • Quantum gravitational effects may offer a means to differentiate between these theories.
  • Nonlocal deformations are being explored in both general relativity and teleparallel gravity.

Purpose of the Study:

  • To investigate nonlocal deformations of teleparallel gravity.
  • To analyze the cosmological solutions arising from nonlocal teleparallel gravity.
  • To assess the consistency of nonlocal teleparallel gravity with existing cosmological observations.

Main Methods:

  • Studying nonlocal deformations of teleparallel gravity.
  • Analyzing cosmological solutions within this framework.
  • Comparing theoretical predictions with observational data (SNe Ia, BAO, CC, [Formula: see text]).

Main Results:

  • Nonlocal teleparallel gravity is consistent with current cosmological data.
  • This consistency mirrors that of nonlocal general relativity.
  • The study provides a theoretical basis for future experimental discrimination.

Conclusions:

  • Nonlocal teleparallel gravity offers a viable alternative to general relativity.
  • Future experiments probing nonlocal effects are crucial for determining the correct gravitational theory.
  • Distinguishing between general relativity and teleparallel gravity may be possible through quantum gravitational phenomena.