Minimal length via GUP makes the usual coherent state characterizations inequivalent for the harmonic oscillator, deforming phase-space trajectories and inducing intrinsic squeezing absent in standard quantum mechanics.
Generalized Uncertainty Principle from Quantum Geometry
4 Pith papers cite this work. Polarity classification is still indexing.
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abstract
The generalized uncertainty principle of string theory is derived in the framework of Quantum Geometry by taking into account the existence of an upper limit on the acceleration of massive particles.
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A systematic mapping is derived from GUP parameters in minimal-length quantum theory to higher-order curvature coefficients in extended gravity, with an application yielding an upper bound on the minimal measurable length via light deflection corrections.
Hawking radiation terminates around the scrambling time due to trans-Planckian stringy effects in GUP and string-field-theory-inspired toy models, yielding negligible evaporation and a mostly classical black hole.
Quantum gravity corrections via GUP, EUP, GEUP and LQGUP make the maximum entropic force depend on the uncertainty principles' dimensionless parameters and, for EUP, on the number of Planck areas composing the effective area.
citing papers explorer
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Coherent states in minimal-length Quantum Mechanics: inequivalent characterizations and emergent squeezing
Minimal length via GUP makes the usual coherent state characterizations inequivalent for the harmonic oscillator, deforming phase-space trajectories and inducing intrinsic squeezing absent in standard quantum mechanics.
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From minimal-length quantum theory to modified gravity
A systematic mapping is derived from GUP parameters in minimal-length quantum theory to higher-order curvature coefficients in extended gravity, with an application yielding an upper bound on the minimal measurable length via light deflection corrections.
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UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox
Hawking radiation terminates around the scrambling time due to trans-Planckian stringy effects in GUP and string-field-theory-inspired toy models, yielding negligible evaporation and a mostly classical black hole.
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Uncertainty Principles and Maximum Entropic Force
Quantum gravity corrections via GUP, EUP, GEUP and LQGUP make the maximum entropic force depend on the uncertainty principles' dimensionless parameters and, for EUP, on the number of Planck areas composing the effective area.