Spike behavior in the approach to spacetime singularities

David Garfinkle; Frans Pretorius

Spike behavior in the approach to spacetime singularities

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arxiv 2010.01399 v1 pith:SR5NWSXQ submitted 2020-10-03 gr-qc

David Garfinkle , Frans Pretorius This is my paper · ORCID

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keywords simulationsspikesapproachformulasingularitiesspacetimeanalyticalbehavior

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We perform numerical simulations of the approach to spacetime singularities. The simulations are done with sufficient resolution to resolve the small scale features (known as spikes) that form in this process. We find an analytical formula for the shape of the spikes and show that the spikes in the simulations are well described by this formula.

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The Conformal Primon Gas at the End of Time
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BKL singularity dynamics are mapped to conformal quantum mechanics whose states are odd automorphic L-functions, and these L-functions are reinterpreted as partition functions of prime-labeled oscillator gases.

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