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We examine how Casimir energies gravitate in \(\kappa \) -deformed space-time. We set up the Casimir plates in a gravitational field using \(\kappa \) -deformed Rindler coordinates and compute the total force acting on the Casimir apparatus in a weak gravitational field. We show that the equivalence principle is satisfied for this setup in \(\kappa \) -deformed space-time.

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Fall of Casimir Energies in Non-commutative Space-Time

  • 会议论文

  • 发表日期：

    2025年

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  • E. Harikumar,
  • K. V. Shajesh,
  • Suman Kumar Panja

摘要

We examine how Casimir energies gravitate in \(\kappa \) -deformed space-time. We set up the Casimir plates in a gravitational field using \(\kappa \) -deformed Rindler coordinates and compute the total force acting on the Casimir apparatus in a weak gravitational field. We show that the equivalence principle is satisfied for this setup in \(\kappa \) -deformed space-time.