Cosmic-time quantum mechanics and the passage-of-time problem
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866913216408322048 |
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| author | Czachor, Marek |
| author_facet | Czachor, Marek |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_06070 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Cosmic-time quantum mechanics and the passage-of-time problem Czachor, Marek General Physics 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. |
| title | Cosmic-time quantum mechanics and the passage-of-time problem |
| topic | General Physics |
| url | https://arxiv.org/abs/2209.06070 |