The Fastest Rotation at the Limit: A Period Floor for a Bounced Core

A bounced core at the Aldred Limit cannot rotate faster than its mass-shedding limit, and because its density is fixed by the bound, that limit is a pure number of the framework: Omega_max = square root of (4 pi G rho_A/3), independent of the core's mass. On the neutron branch the corresponding period floor is 3.812e-24 s, a rotation frequency of 2.623e+23 Hz. On the electron branch the floor is 7.009e-21 s. No bounced core, of any mass, can spin with a period below its branch floor without shedding its equator, so the floor is a falsifiable consequence of the bound: a compact remnant demonstrated to have formed through a Limit bounce and rotating faster than 3.812e-24 s would contradict the bound on the neutron branch. The floor lies far below the fastest observed pulsar periods, so no current observation tests it; its value is as a sharp, permanent prediction that any future claimed detection of a bounced remnant must respect. Computed from stated assumptions, not measured.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-11
DOI
https://doi.org/10.5281/zenodo.24123478
Primary Topic
Pulsars and Gravitational Waves Research
Type
article
Field-Weighted Citation Impact
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article

The Fastest Rotation at the Limit: A Period Floor for a Bounced Core

William Alexander Aldred
Zenodo (CERN European Organization for Nuclear Research)
Pulsars and Gravitational Waves Research
article

The Fastest Rotation at the Limit: A Period Floor for a Bounced Core

William Alexander Aldred
article en

Abstract

A bounced core at the Aldred Limit cannot rotate faster than its mass-shedding limit, and because its density is fixed by the bound, that limit is a pure number of the framework: Omega_max = square root of (4 pi G rho_A/3), independent of the core's mass. On the neutron branch the corresponding period floor is 3.812e-24 s, a rotation frequency of 2.623e+23 Hz. On the electron branch the floor is 7.009e-21 s. No bounced core, of any mass, can spin with a period below its branch floor without shedding its equator, so the floor is a falsifiable consequence of the bound: a compact remnant demonstrated to have formed through a Limit bounce and rotating faster than 3.812e-24 s would contradict the bound on the neutron branch. The floor lies far below the fastest observed pulsar periods, so no current observation tests it; its value is as a sharp, permanent prediction that any future claimed detection of a bounced remnant must respect. Computed from stated assumptions, not measured.

Zenodo (CERN European Organization for Nuclear Research)
Pulsars and Gravitational Waves Research
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