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arxiv: hep-th/0304031 · v1 · pith:NDPJX7XNnew · submitted 2003-04-03 · ✦ hep-th

Ultraquantum Dynamics

classification ✦ hep-th
keywords hbarultraquantumquantumalgebraconstantenergysegalspace-time
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Segal proposed ultraquantum commutation relations with two ultraquantum constants hbar' and hbar'' besides Planck's quantum constant hbar with a variable i. The Heisenberg quantum algebra is a contraction - in a more general sense than that of Inonu and Wigner - of the Segal ultraquantum algebra. The usual constant i arises as a vacuum order-parameter in the quantum limit where hbar' and hbar'' approach zero. One physical consequence is a discrete spectrum for canonical variable and space-time coordinates. Another is an interconvention of time and energy accompnying space-time meltdown (disorder), with a fundamental conversion factor of some kilograms of energy per second.

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