A connection between Minkowski and galilean space-times in quantum mechanics

Relativistic quantum theories are equipped with a background Minkowski spacetime and non-relativistic quantum theories with a Galilean space-time. Traditional investigations have distinguished their distinct space-time structures and have examined ways in which relativistic theories become sufficiently like Galilean theories in a low velocity approximation or limit. A different way to look at their relationship is to see that both kinds of theories are special cases of a certain five-dimensional generalization involving no limiting procedures or approximations. When one compares them, striking features emerge that bear on philosophical questions, including the ontological status of the wave function and time reversal invariance
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DOI 10.1080/02698590903467093
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References found in this work BETA
John Earman (2002). What Time Reversal Invariance is and Why It Matters. International Studies in the Philosophy of Science 16 (3):245 – 264.
Frank Arntzenius & Hilary Greaves (2009). Time Reversal in Classical Electromagnetism. British Journal for the Philosophy of Science 60 (3):557-584.
Peter J. Lewis (2004). Life in Configuration Space. British Journal for the Philosophy of Science 55 (4):713-729.

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