Scale Invariance of the Virueña–Kerr Mechanism: The Crab Nebula (M1) as a Local Confirmation of the Latency Horizon Detected in DESI–DR2
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| Lingua: | inglese |
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2026
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| _version_ | 1866901824753106944 |
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| author | Rangel-Virueña, Fernando |
| author_facet | Rangel-Virueña, Fernando |
| contents | <p>The kinematic anomaly of the Crab Nebula (M1)—a persistent <span>$\Delta t = 51.5 \pm 0.5$</span> yr offset between the historical supernova of 1054 CE and modern kinematic convergence dates—has lacked a genuinely predictive physical explanation for almost a century. In this paper, we apply the scale invariance of the <strong>Virueña-Kerr Mechanism (VKM)</strong>, whose cosmological latency (<span>$\tau_X \simeq 4.15$</span> Gyr) is independently anchored both in the supermassive black-hole mass function and in the <span>$4$</span>–<span>$5\sigma$</span> <strong>DESI-DR2</strong> expansion anomaly reported at <span>$z \simeq 0.42$</span>.</p> <p>Linearly rescaling <span>$\tau_X$</span> to the neutron-star mass regime yields a central latency of <span>$\tau_{NS} = 52.8 \pm 4.5$</span> yr, consistent with the observed kinematic gap at <span>$0.3\sigma$</span> with zero free parameters. We introduce the formal concept of <strong>Metric Blooming</strong>: a continuous phase transition modeled via a logistic sigmoid with a stellar smoothing parameter <span>$\gamma_s = 0.5$</span> yr⁻¹. This framework describes a metric coupling process of approximately <span>$12$</span> years, eliminating the mathematical discontinuities of prior step-function models.</p> <p>Furthermore, the Kerr anisotropy signature <span>$\tau(\theta) \approx \tau_{pole} + \delta\tau\sin^2\theta$</span> successfully reproduces the polar-to-equatorial expansion variation in M1 wedge data, providing a geometric origin for the nebula's non-uniform velocity profile. This double anchoring—cosmological via DESI-DR2 and stellar via M1—validates the <strong>Xóchitl Constant</strong> as a fundamental scale-invariant property of the Kerr metric across sixteen orders of magnitude in mass.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18966082 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
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| spellingShingle | Scale Invariance of the Virueña–Kerr Mechanism: The Crab Nebula (M1) as a Local Confirmation of the Latency Horizon Detected in DESI–DR2 Rangel-Virueña, Fernando Astrophysics Astrophysics General Relativity Crab Nebula Kerr Metric Dark Energy DESI-DR2 Virueña-Kerr Mechanism Metric Blooming Supernova Supernovae <p>The kinematic anomaly of the Crab Nebula (M1)—a persistent <span>$\Delta t = 51.5 \pm 0.5$</span> yr offset between the historical supernova of 1054 CE and modern kinematic convergence dates—has lacked a genuinely predictive physical explanation for almost a century. In this paper, we apply the scale invariance of the <strong>Virueña-Kerr Mechanism (VKM)</strong>, whose cosmological latency (<span>$\tau_X \simeq 4.15$</span> Gyr) is independently anchored both in the supermassive black-hole mass function and in the <span>$4$</span>–<span>$5\sigma$</span> <strong>DESI-DR2</strong> expansion anomaly reported at <span>$z \simeq 0.42$</span>.</p> <p>Linearly rescaling <span>$\tau_X$</span> to the neutron-star mass regime yields a central latency of <span>$\tau_{NS} = 52.8 \pm 4.5$</span> yr, consistent with the observed kinematic gap at <span>$0.3\sigma$</span> with zero free parameters. We introduce the formal concept of <strong>Metric Blooming</strong>: a continuous phase transition modeled via a logistic sigmoid with a stellar smoothing parameter <span>$\gamma_s = 0.5$</span> yr⁻¹. This framework describes a metric coupling process of approximately <span>$12$</span> years, eliminating the mathematical discontinuities of prior step-function models.</p> <p>Furthermore, the Kerr anisotropy signature <span>$\tau(\theta) \approx \tau_{pole} + \delta\tau\sin^2\theta$</span> successfully reproduces the polar-to-equatorial expansion variation in M1 wedge data, providing a geometric origin for the nebula's non-uniform velocity profile. This double anchoring—cosmological via DESI-DR2 and stellar via M1—validates the <strong>Xóchitl Constant</strong> as a fundamental scale-invariant property of the Kerr metric across sixteen orders of magnitude in mass.</p> |
| title | Scale Invariance of the Virueña–Kerr Mechanism: The Crab Nebula (M1) as a Local Confirmation of the Latency Horizon Detected in DESI–DR2 |
| topic | Astrophysics Astrophysics General Relativity Crab Nebula Kerr Metric Dark Energy DESI-DR2 Virueña-Kerr Mechanism Metric Blooming Supernova Supernovae |
| url | https://doi.org/10.5281/zenodo.18966082 |