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Open Quantum Systems Decoherence Quantum Simulation

Covariant entropic dynamics: from path independence to Hamiltonians and quantum theory

arXiv
Authors: Selman Ipek

Year

2017

Paper ID

25220

Status

Preprint

Abstract Read

~2 min

Abstract Words

114

Citations

N/A

Abstract

Entropic Dynamics (ED) is an inference-based framework that seeks to construct dynamical theories of physics without assuming the conventional formalism --- the Hamiltonians, Poisson brackets, Hilbert spaces, etc. --- typically associated with physics. In this work we develop an ED of scalar fields that is both quantum and manifestly covariant. The framework for accomplishing this is inspired by the covariant methods of Dirac, Teitelboim, and Kuchar. In addition to the ostensible result of a covariant quantum ED, we also show how the covariance requirement of path independence proposed by Teitelboim is sufficient for a derivation of Hamiltonian dynamics and also provides a proof of uniqueness for the quantum potential that leads to quantum theory.

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  • Entropic Dynamics (ED) is an inference-based framework that seeks to construct dynamical theories of physics without assuming the conventional formalism --- the Hamiltonians...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1711.03181 [2] arXiv https://arxiv.org/abs/1711.03181 [3] Publisher https://arxiv.org/abs/1711.03181

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