The source-compatibility obstruction in SW-mapped non-commutative electrodynamics with external currents is located directly in the Dirac-Bergmann chain as a third-stage candidate that is algebraically identical to the divergence of the mapped equations of motion at first order in the non-commutativ
Quantized Space- Time
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Derives a quantized eight-dimensional phase-space metric tensor incorporated into general relativity, yielding a relative spacetime.
Neutrino oscillation probability gains an extra fourth-order mass term scaled by β, producing a beat pattern on top of the standard oscillation.
A rigorous lower bound is derived for the ground-state energy of particles in spaces with minimal length and momentum uncertainties, with explicit results for oscillators under linear deformation approximation.
The paper reviews gauge-theoretic formulations of gravity in ordinary and noncommutative spaces based on the authors' earlier works.
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Neutrino oscillation in a minimal length spacetime
Neutrino oscillation probability gains an extra fourth-order mass term scaled by β, producing a beat pattern on top of the standard oscillation.