Hilbert Space dimensions 3, 4, 5

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Foundations of Physics:6 (forthcoming)
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Abstract

This is a pdf of a Mathematica calculation that supplements the paper "Presentist Fragmentalism and Quantum Mechanics" forthcoming in Foundations of Physics. In that paper the Born rule (or at least a progenitor) is derived from experimental conditions on the mutual observations of two fragments. In this pdf the experimental conditions are applied to Hilbert space dimensions 3, 4, and 5. It turns out each of these have a 1-dimensional solution space which, it is hoped, can be interpretated as the phase.

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Presentist Fragmentalism and Quantum Mechanics.Paul Merriam - 2022 - Foundations of Physics 52 (4):1-8.

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