Cosmic-time quantum mechanics and the passage-of-time problem
arXiv:2209.06070 · doi:10.3390/universe9040188
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 -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 fields.
arXiv commentpublished version
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