Towards a Discrete Spacetime

2010/06/30 by Sudipta Das, Das, Sudipta, Subir Ghosh +1
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #Quantum Physics (quant-ph) #gr-qc #hep-th #quant-ph

paper · pdf · doi:10.48550/arxiv.1006.5774

7 pages, Latex, Comments are welcome

arxiv created 2010/06/30 · openalex publication_date 2010/06/30 · arxiv updated 2010/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A formalism is proposed to generate (the first step of) a discrete spacetime: spacetime with an inbuilt length scale. We follow the celebrated Landau theory of liquid - solid phase transition induced by Spontaneous Symmetry Breaking by a condensate whose Fourier transform has support at a \itnon-zero momentum. The latter requirement is essential for breaking the translation symmetry. This, in turn, compels us to generalize Einstein action to higher derivative terms.

Citations

• Noncommutative Black Holes, The Final Appeal To Quantum Gravity: A Review

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