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math.CO2026
Tonnetz Theory, Classical Harmony, and the Combinatorial Geometry of Abstract Musical Resources
Jeffrey R. Boland, Lane P. Hughston
In a previous submission, we established a fundamental relation between tone networks and configurations. It was shown that the Eulerian tonnetz can be represented by a …
quant-ph2026
Quantum clock and Newtonian time
Dorje C. Brody, Lane P. Hughston
An extension of standard quantum mechanics is proposed in which the Newtonian time appearing as a parameter in the unitary evolution operator is replaced with the time shown by a `…