Towards a Discrete Spacetime

Details Towards a Discrete Spacetime Towards a Discrete Spacetime

2010-06-30

arxiv.org/abs/1006.5774v1

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, Latex, Comments are welcome

Scientific paper

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 {\it{non-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.

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