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Testable scenario for Relativity with minimum-length

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arxiv hep-th/0012238 v1 pith:N2QA5VPA submitted 2000-12-26 hep-th

Giovanni Amelino-Camelia This is my paper · ORCID
classification hep-th
keywords lengthminimumbiggerinertialobserver-independentrelativityscalesspace-times
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

I propose a general class of space-times whose structure is governed by observer-independent scales of both velocity ($c$) and length (Planck length), and I observe that these space-times can naturally host a modification of FitzGerald-Lorentz contraction such that lengths which in their inertial rest frame are bigger than a "minimum length" are also bigger than the minimum length in all other inertial frames. With an analysis in leading order in the minimum length, I show that this is the case in a specific illustrative example of postulates for Relativity with velocity and length observer-independent scales.

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Cited by 6 Pith papers

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

  1. Complex scalar field in \kappa-Minkowski noncommutative spacetime

    hep-th 2025-05 conditional novelty 6.0 of 10

    The canonical Noether charges for the κ-deformed complex scalar match the covariant phase space results, and the earlier C-breaking is traced to using the twisted-cyclic Lagrangian L_C1 instead of the manifestly symme...

  2. Notes on gravitational wave amplitude evolution beyond null geodesics

    gr-qc 2026-07 reject novelty 5.0 of 10

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  3. A winding number analysis of Schwarzschild black hole stability in light of Planck-scale modified kinematics

    gr-qc 2026-07 conditional novelty 5.0 of 10

    For the cubic entropy correction S=πr_h²−αr_h³ arising from a Planck-scale modified dispersion relation, all physically allowed Schwarzschild-like branches have winding number w=−1, so no stable phase appears.

  4. Kinematical correlations via $\kappa$-Poincar\'e coproducts

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    In the classical basis the non-bijective momentum map induces branch-dependent κ-deformed back-to-back correlations for two-particle states obeying vanishing total momentum.

  5. Probing modified gravitational-wave dispersion with bursts from eccentric black-hole binaries

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    Applies parameterized dispersion to eccentric BBH burst waveforms, deriving a 2.5PN time-delay correction and Bessel amplitude modulation, then uses Fisher matrix to project LIGO constraints that are stronger than cur...

  6. Revisiting Varying Speed of Light in Cosmology: Insights from the Friedmann-Lema\^itre-Robertson-Walker Metric

    physics.gen-ph 2025-05 reject novelty 2.0 of 10

    A varying speed of light in FLRW is presented as gauge freedom via the lapse function, but the key variational derivation omits the √-g measure and the claimed Hubble-tension resolution contradicts Eq. (30).

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