Ultraquantum Dynamics

TL;DR

This paper explores ultraquantum algebraic structures with additional constants, revealing a discrete spectrum for variables and a fundamental link between time and energy, suggesting new physical insights beyond standard quantum mechanics.

Contribution

It introduces a generalized ultraquantum algebra with two new constants and analyzes its physical implications, extending the traditional quantum framework.

Findings

Discrete spectrum for canonical variables and space-time coordinates

Emergence of a vacuum order-parameter for the imaginary unit i

Interconnection of time and energy with a fundamental conversion factor

Abstract

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.