Covariant Transport Gravity: k-essence MOND with Correct Lensing from Substrate Flow
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2026
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| _version_ | 1866901162362404864 |
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| author | V.V.P. |
| author_facet | V.V.P. |
| contents | <p>We construct the unique covariant extension of transport-kinetic MOND (Paper I). The k-essence action with f(s) = s − 2√s + 2·ln(√s+1), uniquely determined by the Langmuir form μ = √s/(√s+1), has three structural properties: (i) tensor gravitational-wave speed c_T = c identically (GW170817-compatible); (ii) ghost-free with 1/2 < cs² < 1 everywhere; (iii) PPN deviations far below Cassini bound. Light propagates on the acoustic metric of the substrate flow, which reduces to the Painlevé–Gullstrand form with cs = c. This gives AB = 1 identically without introducing a separate vector field, resolving the canonical lensing problem of scalar MOND (RAQUAL) and matching the TeVeS/AeST phenomenology with fewer fields.</p> <p>At CMB scales, the MOND substrate response is frozen on acoustic timescales, providing apparent CDM-like potential wells with effective enhancement ν ≈ Ω_m,ΛCDM/Ω_b ≈ 6.4. The physical origin of this arithmetic identity — the substrate oscillation energy of Paper IV filling exactly the role of missing mass in the Friedmann equation — is the subject of Paper IV; here we establish the perturbation-level mechanism. BBN is automatically preserved (μ = 1 to one part in 10¹⁹). The Bullet Cluster lensing offset remains a known challenge in the tracking regime, though Paper IV's unified potential provides partial smoothing via substrate oscillation perturbations. Distinctive predictions: a₀(z) evolution; scalar sound speed cs → c/√2 in deep-MOND; apparent-DM profile set entirely by baryons; voids 10–20% larger than ΛCDM.</p> <p>Companion to Paper I (DOI: 10.5281/zenodo.19649983) and Paper IV (BH-UDF series).</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19651541 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Covariant Transport Gravity: k-essence MOND with Correct Lensing from Substrate Flow V.V.P. MOND modified gravity k-essence acoustic metric gravitational lensing Painlevé-Gullstrand analogue gravity scalar-tensor gravity dark matter CMB <p>We construct the unique covariant extension of transport-kinetic MOND (Paper I). The k-essence action with f(s) = s − 2√s + 2·ln(√s+1), uniquely determined by the Langmuir form μ = √s/(√s+1), has three structural properties: (i) tensor gravitational-wave speed c_T = c identically (GW170817-compatible); (ii) ghost-free with 1/2 < cs² < 1 everywhere; (iii) PPN deviations far below Cassini bound. Light propagates on the acoustic metric of the substrate flow, which reduces to the Painlevé–Gullstrand form with cs = c. This gives AB = 1 identically without introducing a separate vector field, resolving the canonical lensing problem of scalar MOND (RAQUAL) and matching the TeVeS/AeST phenomenology with fewer fields.</p> <p>At CMB scales, the MOND substrate response is frozen on acoustic timescales, providing apparent CDM-like potential wells with effective enhancement ν ≈ Ω_m,ΛCDM/Ω_b ≈ 6.4. The physical origin of this arithmetic identity — the substrate oscillation energy of Paper IV filling exactly the role of missing mass in the Friedmann equation — is the subject of Paper IV; here we establish the perturbation-level mechanism. BBN is automatically preserved (μ = 1 to one part in 10¹⁹). The Bullet Cluster lensing offset remains a known challenge in the tracking regime, though Paper IV's unified potential provides partial smoothing via substrate oscillation perturbations. Distinctive predictions: a₀(z) evolution; scalar sound speed cs → c/√2 in deep-MOND; apparent-DM profile set entirely by baryons; voids 10–20% larger than ΛCDM.</p> <p>Companion to Paper I (DOI: 10.5281/zenodo.19649983) and Paper IV (BH-UDF series).</p> |
| title | Covariant Transport Gravity: k-essence MOND with Correct Lensing from Substrate Flow |
| topic | MOND modified gravity k-essence acoustic metric gravitational lensing Painlevé-Gullstrand analogue gravity scalar-tensor gravity dark matter CMB |
| url | https://doi.org/10.5281/zenodo.19651541 |