High Energy Effects of Noncommutative Spacetime Geometry
Burra G. Sidharth, Abhishek Das
TL;DR
This paper explores how noncommutative spacetime geometry modifies quantum transformations and energy levels, deriving limits consistent with observations in ultra-relativistic regimes.
Contribution
It introduces a modified set of quantum transformations and energy shifts due to noncommutativity, providing new insights into high-energy physics.
Findings
Shift in energy levels caused by noncommutative geometry
Derived limit for Lorentz factor in ultra-relativistic case
Modified quantum transformations from noncommutative space-time
Abstract
In this paper, we endeavour to obtain a modified form of the Foldy-Wouthuysen and Cini-Toushek transformations by resorting to the noncommutative nature of space-time geometry, starting from the Klein-Gordon equation. Also, we obtain a shift in the energy levels due to noncommutativity and from these results a limit for the Lorentz factor in the ultra-relativistic case has been derived in conformity with observations
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Relativity and Gravitational Theory · Quantum Mechanics and Applications