Cosmic-time quantum mechanics and the passage-of-time problem

Marek Czachor

doi:10.3390/universe9040188

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arXiv · 2209.06070

Cosmic-time quantum mechanics and the passage-of-time problem

Marek Czachor

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Abstract

A new dynamical paradigm merging quantum dynamics with cosmology is discussed. Time evolution involves a genuine passage of time, which distinguishes the formalism from those where dynamics in space is equivalent to statics in space-time. Hyperbolic spatial sections occur as asymptotic large-cosmic-time supports of quantum wave functions. For simplicity, the wave functions are defined on $n$-dimensional Minkowski spaces. We begin with empty universe, but then outline the formalism that involves matter fields. As a by-product, we arrive at a new formulation of conformal invariance of $m\neq 0$ fields.

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Marek Czachor. 2022-07-01. Cosmic-time quantum mechanics and the passage-of-time problem. https://doi.org/10.3390/universe9040188

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