Heuristic derivation of the Casimir effect from Generalized Uncertainty Principle

Abstract

After a short introduction to the generalized uncertainty principle (GUP), we discuss heuristic derivations of the Casimir effect, first from the usual Heisenberg uncertainty principle (HUP), and then from GUP. Results are compared with those obtained from more standard calculations in Quantum Field Theory (QFT).

6 pages, 1 figure

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• 30 years in: Quo vadis generalized uncertainty principle?
• Phenomenology of GUP stars
• Generalized uncertainty principle with maximal observable momentum and no minimal length indeterminacy
• Gravitationally induced uncertainty relations in curved backgrounds
• Casimir-Polder interactions with massive photons: implications for BSM physics