Ultraviolet Bounds and the Positivity Obstruction in Brane-Cluster Gravity

A Poisson brane gas yields an ultraviolet-suppressed propagator with a single graviton pole. We realize its transmission multiplier as a unitary matrix coefficient and prove that the resulting gauge-invariant curvature covariance violates reflection positivity. Version 3 includes the manuscript, standalone amsart source, bibliography audit, and revision notes.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-08
DOI
https://doi.org/10.5281/zenodo.24050952
Primary Topic
Noncommutative and Quantum Gravity Theories
Type
preprint
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preprint

Ultraviolet Bounds and the Positivity Obstruction in Brane-Cluster Gravity

Riddhima Sadhu, Soumendra Nath Thakur, Deep Bhattacharjee, Sanjeevan Singha Roy et al.
1 links
Zenodo (CERN European Organization for Nuclear Research)
Noncommutative and Quantum Gravity Theories
preprint

Ultraviolet Bounds and the Positivity Obstruction in Brane-Cluster Gravity

Riddhima Sadhu, Soumendra Nath Thakur, Deep Bhattacharjee, Sanjeevan Singha Roy, Priyanka Samal, Pallab Nandi, Ushashi Bhattacharya
preprint en

Abstract

A Poisson brane gas yields an ultraviolet-suppressed propagator with a single graviton pole. We realize its transmission multiplier as a unitary matrix coefficient and prove that the resulting gauge-invariant curvature covariance violates reflection positivity. Version 3 includes the manuscript, standalone amsart source, bibliography audit, and revision notes.

Zenodo (CERN European Organization for Nuclear Research)
University of Calcutta (IN), Birla Institute of Technology, Mesra (IN), Indian Institute of Science Education and Research Kolkata (IN), Solid State Physics Laboratory (IN), National Taiwan University (TW)
Noncommutative and Quantum Gravity Theories
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