A Dual-Framework Relativistic Centripetal Force Model Near the Event Horizon of a Schwarzschild Black Hole

**Version 2.0 Updates & Major Revisions:** * **Resolved Dimensional Inconsistency:** Fixed the mechanical unit mismatch in the previous version by formalizing the scaling factor with a mathematically rigorous squared Lorentz factor (γ²), ensuring the final output is strictly in Newtons (kg·m/s²). * **Introduced Dual-Framework Observer Model:** Resolved the boundary limitation at infinity (r → ∞) by branching the theory into two distinct reference frames: 1. *Historical Progenitor Framework:* Maps the inertial memory of the pre-collapse star (ω_past). 2. *Asymptotic Far-Field Framework:* Aligns with Einstein's General Relativity (ω_far) where required force trends to infinity at the horizon. * **Inter-Framework Linkage:** Formulated a direct mathematical transformational ratio linking the two observer frequencies, proving a non-linear topological breakdown at the event horizon (r = R_B).

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-13
DOI
https://doi.org/10.5281/zenodo.20674525
Primary Topic
Relativity and Gravitational Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

A Dual-Framework Relativistic Centripetal Force Model Near the Event Horizon of a Schwarzschild Black Hole

Jai Pandey
Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
article

A Dual-Framework Relativistic Centripetal Force Model Near the Event Horizon of a Schwarzschild Black Hole

Jai Pandey
article en

Abstract

**Version 2.0 Updates & Major Revisions:** * **Resolved Dimensional Inconsistency:** Fixed the mechanical unit mismatch in the previous version by formalizing the scaling factor with a mathematically rigorous squared Lorentz factor (γ²), ensuring the final output is strictly in Newtons (kg·m/s²). * **Introduced Dual-Framework Observer Model:** Resolved the boundary limitation at infinity (r → ∞) by branching the theory into two distinct reference frames: 1. *Historical Progenitor Framework:* Maps the inertial memory of the pre-collapse star (ω_past). 2. *Asymptotic Far-Field Framework:* Aligns with Einstein's General Relativity (ω_far) where required force trends to infinity at the horizon. * **Inter-Framework Linkage:** Formulated a direct mathematical transformational ratio linking the two observer frequencies, proving a non-linear topological breakdown at the event horizon (r = R_B).

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 5%
Relativity and Gravitational Theory
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