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Bounded compactness from G(E)UP

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arxiv 2507.14703 v2 pith:IM2ZTWRE submitted 2025-07-19 gr-qc

Bounded compactness from G(E)UP

Roberto Casadio , Ilim Irfan \c{C}imdiker , Octavian Micu , Jonas Mureika This is my paper
classification gr-qc
keywords boundscompactnessboundedparametersaboveanalyseastrophysicalblack
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We analyse how different Generalised Uncertainty Principles could place bounds on the compactness of self-gravitating systems. By considering existing experimental bounds on the relevant parameters, we conclude that the compactness of large astrophysical objects is bounded above by the inverse of the GUP parameter, which would naturally be of order one. Conversely, the existence of black holes imposes stronger bounds on those parameters.

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Cited by 1 Pith paper

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

  1. Combining the Generalized and Extended Uncertainty Principles

    gr-qc 2026-02 reject novelty 5.0

    An alternative combined uncertainty relation (EGUP) is introduced, and the GEUP is shown to gain a third branch that the authors label—without a derived metric—a new type of black hole.