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        Non-unitary Isometric Quantum Mechanical Time Evolution in Cosmology

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        MSc_Thesis_KonstantinosManos6944191.pdf (1.520Mb)
        Publication date
        2023
        Author
        Manos, Konstantinos
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        Summary
        The past and the future are tightly linked in conventional quantum mechanics by unitary evolution. Perhaps too tightly in an expanding spacetime. A tweak to the theory could let quantum possibilities increase as space expands. The tweak corresponds in replacing unitary quantum mechanical time evolution with a nonunitary isometric one. Cosmological expansion points into this direction since new degrees of freedom arise during the time evolution. We motivate this hypothesis from two different approaches, all in 1 + 1 spacetime dimensions: (i) the net entanglement entropy produced by toy and cosmological models is increasing in time, (ii) the Lorentzian path integral for a finite elements latticization gives non-unitary isometric time evolution for a scalar and possibly a fermionic field.
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        https://studenttheses.uu.nl/handle/20.500.12932/43972
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