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Generalized Uncertainty Principle from Quantum Geometry

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arxiv gr-qc/9910017 v1 pith:NARD77UH submitted 1999-10-05 gr-qc

S. Capozziello , G. Lambiase , G.Scarpetta This is my paper · ORCID
classification gr-qc
keywords generalizedgeometryprinciplequantumuncertaintyaccelerationaccountderived
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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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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Coherent states in minimal-length Quantum Mechanics: inequivalent characterizations and emergent squeezing

    quant-ph 2026-07 unverdicted novelty 6.0 of 10

    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.

  2. From minimal-length quantum theory to modified gravity

    gr-qc 2025-11 unverdicted novelty 5.0 of 10

    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 le...

  3. Generalized Uncertainty Principle mimicking dynamical Dark Energy: matter perturbations and gravitational wave data analysis

    gr-qc 2025-02 reject novelty 5.0 of 10

    In a GUP-modified cosmology, matter fluctuations grow more slowly and the primordial gravitational wave spectrum is enhanced at high frequencies, leading to a claimed bound β ≲ 10^39.

  4. UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox

    hep-th 2024-11 unverdicted novelty 5.0 of 10

    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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