The Arnold-Bifurcation Origin of Dark Matter: A Relativistic Frequency Effect of Chaotic Energy Release
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2026
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| _version_ | 1866901225649209344 |
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| author | VAITHYANATHAN, PRAKASH |
| author_facet | VAITHYANATHAN, PRAKASH |
| contents | <p>Dark Matter is not a static particle, but the gravitational signature of uncontrolled energy released by physical systems crossing the Arnold bifurcation point—the mathematical “point of no return.” We derive a first-principles model where these bifurcations create localized singularities of infinite density. Using the Schwarzschild metric, we prove an “Acid Test”: energy released from such an infinite potential well undergoes an infinite gravitational redshift (z → ∞), stripping the release of its kinetic momentum. This forces a phase transition where radiative energy (w = 1/3) is “frozen” into pressureless chaotic dust (w ≈<br>0), providing the physical mechanism for Cold Dark Matter. Furthermore, we define the “Chaotic Horizon” (rh), a resolution boundary determined by the observer’s integration time (∆T). We demonstrate that the perceived smoothness of dark matter is a resolution artifact. Crucially, our high-cadence analysis of InPTA DR2 pulsar J1909-3744 residuals provides a definitive empirical breach of this horizon. We identify a dual-signature verification: a 1.4639 ± 0.0352 alpha-signature identifying the Inertial Range of a space-time fluid in Kolmogorov turbulence, and a near-zero 0.0326 ± 0.0041 DM alpha, which establishes the effect as purely geometric and achromatic. This empirical detection of a persistent jitter—converging toward the predicted 1.1730<br>and 1.024 stability floor—provides the first direct evidence that dark matter is an active frequency effect rather than a relic particle. By identifying this signature, we resolve the Hubble Tension as a deterministic result of frequency-dependent stochastic scaling, reconciling the ΛCDM model with the April 2026 observational frontier</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19420932 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Arnold-Bifurcation Origin of Dark Matter: A Relativistic Frequency Effect of Chaotic Energy Release VAITHYANATHAN, PRAKASH Dark Matter Arnold Bifurcation Schwarzschild Metric Gravitational Redshift Hamiltonian Chaos Lyapunov exponent Equation of State 2026 JWST Observations Chaotic Horizon Cusp-Core problem InPTA J1909-3744 Hubble Tension <p>Dark Matter is not a static particle, but the gravitational signature of uncontrolled energy released by physical systems crossing the Arnold bifurcation point—the mathematical “point of no return.” We derive a first-principles model where these bifurcations create localized singularities of infinite density. Using the Schwarzschild metric, we prove an “Acid Test”: energy released from such an infinite potential well undergoes an infinite gravitational redshift (z → ∞), stripping the release of its kinetic momentum. This forces a phase transition where radiative energy (w = 1/3) is “frozen” into pressureless chaotic dust (w ≈<br>0), providing the physical mechanism for Cold Dark Matter. Furthermore, we define the “Chaotic Horizon” (rh), a resolution boundary determined by the observer’s integration time (∆T). We demonstrate that the perceived smoothness of dark matter is a resolution artifact. Crucially, our high-cadence analysis of InPTA DR2 pulsar J1909-3744 residuals provides a definitive empirical breach of this horizon. We identify a dual-signature verification: a 1.4639 ± 0.0352 alpha-signature identifying the Inertial Range of a space-time fluid in Kolmogorov turbulence, and a near-zero 0.0326 ± 0.0041 DM alpha, which establishes the effect as purely geometric and achromatic. This empirical detection of a persistent jitter—converging toward the predicted 1.1730<br>and 1.024 stability floor—provides the first direct evidence that dark matter is an active frequency effect rather than a relic particle. By identifying this signature, we resolve the Hubble Tension as a deterministic result of frequency-dependent stochastic scaling, reconciling the ΛCDM model with the April 2026 observational frontier</p> |
| title | The Arnold-Bifurcation Origin of Dark Matter: A Relativistic Frequency Effect of Chaotic Energy Release |
| topic | Dark Matter Arnold Bifurcation Schwarzschild Metric Gravitational Redshift Hamiltonian Chaos Lyapunov exponent Equation of State 2026 JWST Observations Chaotic Horizon Cusp-Core problem InPTA J1909-3744 Hubble Tension |
| url | https://doi.org/10.5281/zenodo.19420932 |