Irreversibility from staircases in symplectic embeddings

Irreversibility from staircases in symplectic embeddings

We present an argument whose goal is to trace the origin of the macroscopically irreversible behavior of Hamitonian systems of many degrees of freedom. We use recent flexibility and rigidity results of symplectic embeddings, quantified via the (stabilized) Fibonacci and Pell staircases, to encode th...

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Veröffentlicht in:arXiv.org 2018-09
Hauptverfasser: Creaco, Anthony J, Kalogeropoulos, Nikolaos
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Sprache:eng
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Initial conditions
Mathematics - Mathematical Physics
Physics - General Relativity and Quantum Cosmology
Physics - High Energy Physics - Theory
Physics - Mathematical Physics
Physics - Statistical Mechanics
Staircases
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Kalogeropoulos, Nikolaos
description We present an argument whose goal is to trace the origin of the macroscopically irreversible behavior of Hamitonian systems of many degrees of freedom. We use recent flexibility and rigidity results of symplectic embeddings, quantified via the (stabilized) Fibonacci and Pell staircases, to encode the underlying breadth of the possible initial conditions, which alongside the multitude of degrees of freeedom of the underlying system give rise to time-irreversibility.
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subjects Initial conditions
Mathematics - Mathematical Physics
Physics - General Relativity and Quantum Cosmology
Physics - High Energy Physics - Theory
Physics - Mathematical Physics
Physics - Statistical Mechanics
Staircases
title Irreversibility from staircases in symplectic embeddings
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