Kryukov, Alexey A.
(2026)
Random-matrix reduction in projective quantum mechanics: Numerical simulations.
[Preprint]
Abstract
We present numerical simulations supporting the random-matrix state-reduction
framework developed in the companion theoretical paper. The simulations test
the main derived features of the model: isotropic diffusion generated by
Gaussian Unitary Ensemble Hamiltonians in projective state space, the
restriction of this diffusion to Brownian motion on the classical submanifold,
Born-rule frequencies for detector-defined outcome classes, and stroboscopic
Newtonian motion for macroscopic systems under repeated environmental
monitoring. We also compare GUE and GOE random Hamiltonians and show that GOE
fails to produce the required isotropic complex projective diffusion. Further
simulations examine finite-resolution detector records in the double-slit
experiment, Zeno stability of recorded equivalence classes, effective
irreversibility from high-dimensional state-space dynamics and loss of
path information, and tensor-product particle-device dynamics in
the device limit. The results show that microscopic state reduction, stable
measurement records, effective irreversibility, and macroscopic classicality
can be described as different coarse-grained manifestations of the same
stochastic unitary mechanism.
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