Slaying the Twin Dragons: Dark Matter and Dark Energy as Time Emergence Artifacts of the Universal Cascade Law
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2026
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| author | Randolph, Lucian |
| author_facet | Randolph, Lucian |
| contents | <h2>Description</h2> <p>Dark matter and dark energy are not separate mysteries. They are twin artifacts of a single assumption: that time is fully expressed everywhere and at every epoch.</p> <p>This paper presents two independent tests of the time emergence hypothesis using two public datasets.</p> <p>Test 1 — Dark Matter: 175 galaxy rotation curves from the SPARC database. The dual attractor architecture is confirmed at p = 10⁻⁹⁰. The Feigenbaum family constant δ(z=6) = 9.2962 appears in acceleration space at p = 3 × 10⁻¹¹. The characteristic acceleration a₀ is derived from Feigenbaum constant space to within 3.8%. The time emergence gradient shows τ < 0.5 at the edges of 117/175 galaxies.</p> <p>Test 2 — Dark Energy: 1,701 Type Ia supernovae from Pantheon+. A zero-free-parameter time emergence model, derived entirely from ln(δ) = 1.5410, fits the data to within 3.2% of ΛCDM — which requires two fitted parameters and 68% of the universe to be unknown energy. The transition redshift z_t = 1.449 falls within 6.4% of ln(δ).</p> <p>One mechanism. Two scales. Two dragons. One sword. The universe is not 95% dark. We were measuring with the wrong clock.</p> <h2>Keywords</h2> <p>dark matter; dark energy; time emergence; Universal Cascade Law; Feigenbaum constants; galaxy rotation curves; Type Ia supernovae; SPARC; Pantheon+; dual attractor architecture; cosmology; ΛCDM alternative; radial acceleration relation; modified gravity</p> <h2>Notes</h2> <p>This paper uses exclusively public data: SPARC (Lelli, McGaugh & Schombert 2016, AJ 152, 157) and Pantheon+ (Scolnic et al. 2022, ApJ 938, 113). All results are independently reproducible. Contains 10 composite figures with 42 individual panels.</p> <p>Part of the Universal Cascade Law research program. 28th paper. Published March 1, 2026.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20325993 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Slaying the Twin Dragons: Dark Matter and Dark Energy as Time Emergence Artifacts of the Universal Cascade Law Randolph, Lucian dark matter dark energy time emergence Feigenbaum constants galaxy rotation curves Type Ia supernovae SPARC Pantheon+ dual attractor architecture cosmology ΛCDM alternative radial acceleration relation modified gravity Universal Cascade Law <h2>Description</h2> <p>Dark matter and dark energy are not separate mysteries. They are twin artifacts of a single assumption: that time is fully expressed everywhere and at every epoch.</p> <p>This paper presents two independent tests of the time emergence hypothesis using two public datasets.</p> <p>Test 1 — Dark Matter: 175 galaxy rotation curves from the SPARC database. The dual attractor architecture is confirmed at p = 10⁻⁹⁰. The Feigenbaum family constant δ(z=6) = 9.2962 appears in acceleration space at p = 3 × 10⁻¹¹. The characteristic acceleration a₀ is derived from Feigenbaum constant space to within 3.8%. The time emergence gradient shows τ < 0.5 at the edges of 117/175 galaxies.</p> <p>Test 2 — Dark Energy: 1,701 Type Ia supernovae from Pantheon+. A zero-free-parameter time emergence model, derived entirely from ln(δ) = 1.5410, fits the data to within 3.2% of ΛCDM — which requires two fitted parameters and 68% of the universe to be unknown energy. The transition redshift z_t = 1.449 falls within 6.4% of ln(δ).</p> <p>One mechanism. Two scales. Two dragons. One sword. The universe is not 95% dark. We were measuring with the wrong clock.</p> <h2>Keywords</h2> <p>dark matter; dark energy; time emergence; Universal Cascade Law; Feigenbaum constants; galaxy rotation curves; Type Ia supernovae; SPARC; Pantheon+; dual attractor architecture; cosmology; ΛCDM alternative; radial acceleration relation; modified gravity</p> <h2>Notes</h2> <p>This paper uses exclusively public data: SPARC (Lelli, McGaugh & Schombert 2016, AJ 152, 157) and Pantheon+ (Scolnic et al. 2022, ApJ 938, 113). All results are independently reproducible. Contains 10 composite figures with 42 individual panels.</p> <p>Part of the Universal Cascade Law research program. 28th paper. Published March 1, 2026.</p> |
| title | Slaying the Twin Dragons: Dark Matter and Dark Energy as Time Emergence Artifacts of the Universal Cascade Law |
| topic | dark matter dark energy time emergence Feigenbaum constants galaxy rotation curves Type Ia supernovae SPARC Pantheon+ dual attractor architecture cosmology ΛCDM alternative radial acceleration relation modified gravity Universal Cascade Law |
| url | https://doi.org/10.5281/zenodo.20325993 |