Abstract
Segal proposed transquantum commutation relations with two transquantum constants ħ′, ħ″ besides Planck's quantum constant ħ and with a variable i. The Heisenberg quantum algebra is a contraction—in a more general sense than that of Inönü and Wigner—of the Segal transquantum algebra. The usual constant i arises as a vacuum order-parameter in the quantum limit ħ′,ħ″→0. One physical consequence is a discrete spectrum for canonical variables and space-time coordinates. Another is an interconversion of time and energy accompanying space-time meltdown (disorder), with a fundamental conversion factor of some kilograms of energy per second.
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Baugh, J., Finkelstein, D.R., Galiautdinov, A. et al. Transquantum Dynamics. Foundations of Physics 33, 1267–1275 (2003). https://doi.org/10.1023/A:1025661209919
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DOI: https://doi.org/10.1023/A:1025661209919