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June 6, 20260 citationsOpen Access

Spin-Dependent Information-Geometry in Rotating Black Holes: Kerr Extension of the D3 Formula and a Universal Spin-Suppression Factor

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BSBharat Bhushan sharma

Key Points

  • This research aims to extend the D3 formula to incorporate rotating black holes and identify a universal spin-suppression factor.
  • Derived the spin-suppression factor from the Kerr Hawking temperature and D3 formula.
  • Verified results using observational data from GW150914 and GRS 1915+105.
  • Exact closed-form spin-suppression factor derived as f(χ) = 2√(1−χ²) / (1 + √(1−χ²)).
  • The factor is mass-independent to ten significant figures across four decades of mass.
  • At χ=0, Schwarzschild result is recovered; at extremal limit χ→1, f approaches 0.

Abstract

We extend the D3 formula to rotating (Kerr) black holes. Substituting the Kerr Hawking temperature into D3 yields an exact closed-form spin-suppression factor: f (χ) = 2√ (1−χ²) / (1 + √ (1−χ²) ), where χ is the dimensionless spin parameter. This ratio is universal — mass-independent to ten significant figures across four decades of mass. At χ=0 the Schwarzschild result is recovered exactly; at χ→1 (extremal) f→0, consistent with TKerr→0. Results are verified against GW150914 and GRS 1915+105 observational data.

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Cite This Study

Bharat Bhushan sharma (2026) studied this question.

synapsesocial.com/papers/6a23b9ca71a5da9775e7594ehttps://doi.org/10.5281/zenodo.20535348
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