WIAS Preprint No. 447, (1998)

A Metric Theory of Gravity with Condensed Matter Interpretation


  • Schmelzer, Ilja

2010 Mathematics Subject Classification

  • 83D05 83C45


  • quantum gravity




We define a metric theory of gravity with preferred Newtonian frame (Xi(x),T(x)) by

L = LGR + ΞgμνδijXiXj - 𝛶gμνTT

It allows a condensed matter interpretation which generalizes LET to gravity. The Ξ-term influences the age of the universe. 𝛶 > 0 allows to avoid big bang singularity and black hole horizon formation. This solves the horizon problem without inflation. An atomic hypothesis solves the ultraviolet problem by explicit regularization. We give a prediction for cutoff length.

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