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
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Derives a quantized eight-dimensional phase-space metric tensor incorporated into general relativity, yielding a relative spacetime.
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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Dirac-Bergmann analysis of SW-mapped non-commutative $U(1)$ electrodynamics with external currents
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
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The Derivation of Phase-Space Metric in a Geometric Quantization Approach: General Relativity with Quantized Phase-Space Metric and Relative Spacetime
Derives a quantized eight-dimensional phase-space metric tensor incorporated into general relativity, yielding a relative spacetime.
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Ground-state energy of a particle in a space with minimal length and minimal momentum
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.
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Noncommutative Gauge Theories and Gravity
The paper reviews gauge-theoretic formulations of gravity in ordinary and noncommutative spaces based on the authors' earlier works.