Effect of Quantum Gravity on Specific Heat of Solid

• URL: http://arxiv.org/abs/2304.13673v1
• Date: Sun, 23 Apr 2023 18:27:46 GMT
• Title: Effect of Quantum Gravity on Specific Heat of Solid
• Authors: Sheikh Riasat, Bhabani Prasad Mandal
• Abstract summary: The dynamics of all quantum mechanical system gets modified due to the Generalised Uncertainty Principle(GUP) We consider both Einstein's and Debye's models to find the quantum gravity effect on the specific heat of solids.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: All possible theories of quantum gravity suggest the existence of a minimal length. As a consequence, the usual Heisenberg Uncertainty Principle (HUP) is replaced by a more general uncertainty principle known as the Generalised Uncertainty Principle(GUP). The dynamics of all quantum mechanical system gets modified due to GUP. In this work, we consider both Einstein's and Debye's models to find the quantum gravity effect on the specific heat of solids. GUP modified specific heat in Einstein's model shows usual exponential dominance at low temperatures. Further, the modification to Debye's specific heat is calculated by considering the GUP modified dispersion relation, which becomes time dependent for elastic waves.

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