The Dark Sector from Cosmic Acceleration Alone: A Two-Point Rindler Construction
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| Sprache: | Englisch |
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2026
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| _version_ | 1866901228714196992 |
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| author | Koh, Seong-yeop |
| author_facet | Koh, Seong-yeop |
| contents | <p>We introduce two kinematic length scales — L_1(r) = c² / ä(r) and L_2 = R_H / √X — defined entirely frompresent-epoch quantities (the Hubble constant H_0 and the cosmic-acceleration parameter X = Ω_Λ − Ω_m / 2, which equals the negative of the standard deceleration parameter, X = −q_0). L_1(r) is the one-sided Rindler horizon distance corresponding to the Friedmann acceleration ä(r) at proper distance r. L_2 is the position-independent self-consistent separation at which two mutually receding comoving points sit on each other's Rindler horizons. Both scales are defined without invoking the cosmological event horizon R_EH or the particle horizon R_PH. Evaluated at r = R_H, the volume ratio (1/2) R_H³ : L_2³ : L_1(R_H)³ = (1/2) : X^(−3/2) : X^(−3) matches the dark-sector density ratio Ω_b : Ω_c : Ω_Λ in Planck 2018 to 0.16 –2.75 % accuracy. Combined with flatness and the definition of X, this volume–density correspondence closes a self-consistent equation that determines (X, Ω_b, Ω_c, Ω_Λ) from H_0 alone, with X = 0.52864 reproducing Planck 2018 to 0.16 % on X and Ω_Λ. Across seven cosmological datasets, the framework agrees with low-H_0 (CMB-anchored) measurements at the percent level and disagrees with high-H_0(late-universe) measurements at the 4 – 9 % level. The arithmetic structure of the X-exponents (0, −3/2, −3) admits a half-integer quantum-number reading, which is noted as an open structural observation. Prior emergent-dark-sector work and prior deceleration-parameter–baryon relations are acknowledged.</p> <p>Keywords: Hubble flow; Rindler horizon; deceleration parameter; dark matter; dark energy; cosmological self-consistency; Hubble tension.</p> <p> </p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19943775 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Dark Sector from Cosmic Acceleration Alone: A Two-Point Rindler Construction Koh, Seong-yeop Dark matter dark energy <p>We introduce two kinematic length scales — L_1(r) = c² / ä(r) and L_2 = R_H / √X — defined entirely frompresent-epoch quantities (the Hubble constant H_0 and the cosmic-acceleration parameter X = Ω_Λ − Ω_m / 2, which equals the negative of the standard deceleration parameter, X = −q_0). L_1(r) is the one-sided Rindler horizon distance corresponding to the Friedmann acceleration ä(r) at proper distance r. L_2 is the position-independent self-consistent separation at which two mutually receding comoving points sit on each other's Rindler horizons. Both scales are defined without invoking the cosmological event horizon R_EH or the particle horizon R_PH. Evaluated at r = R_H, the volume ratio (1/2) R_H³ : L_2³ : L_1(R_H)³ = (1/2) : X^(−3/2) : X^(−3) matches the dark-sector density ratio Ω_b : Ω_c : Ω_Λ in Planck 2018 to 0.16 –2.75 % accuracy. Combined with flatness and the definition of X, this volume–density correspondence closes a self-consistent equation that determines (X, Ω_b, Ω_c, Ω_Λ) from H_0 alone, with X = 0.52864 reproducing Planck 2018 to 0.16 % on X and Ω_Λ. Across seven cosmological datasets, the framework agrees with low-H_0 (CMB-anchored) measurements at the percent level and disagrees with high-H_0(late-universe) measurements at the 4 – 9 % level. The arithmetic structure of the X-exponents (0, −3/2, −3) admits a half-integer quantum-number reading, which is noted as an open structural observation. Prior emergent-dark-sector work and prior deceleration-parameter–baryon relations are acknowledged.</p> <p>Keywords: Hubble flow; Rindler horizon; deceleration parameter; dark matter; dark energy; cosmological self-consistency; Hubble tension.</p> <p> </p> |
| title | The Dark Sector from Cosmic Acceleration Alone: A Two-Point Rindler Construction |
| topic | Dark matter dark energy |
| url | https://doi.org/10.5281/zenodo.19943775 |