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| Format: | Recurso digital |
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Zenodo
2026
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| Accès en ligne: | https://doi.org/10.5281/zenodo.19704486 |
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- <p>We construct the unique covariant extension of transport-kinetic MOND (Paper I). The k-essence action, uniquely determined by the Langmuir interpolating function μ = √s/(√s+1), has tensor gravitational-wave speed c_T = c identically (GW170817-compatible), is ghost-free with ½ < c_s² < 1 everywhere, and has PPN deviations far below the Cassini bound. Light propagates on the acoustic metric of the substrate flow, which reduces to the Painlevé–Gullstrand form. This gives AB = 1 identically without introducing a separate vector field, resolving the canonical lensing problem of scalar MOND (AQUAL) and matching the TeVeS/AeST phenomenology with fewer fields. At CMB scales, the substrate response is conjectured to be frozen on acoustic timescales, providing apparent CDM-like potential wells with effective enhancement ν ≈ 6.4. The value ν = 6.4 is established as an arithmetic identity (the matching condition between frozen-μ and ΛCDM peak heights); its physical origin — the substrate oscillation energy of Paper IV filling the role of missing mass in the Friedmann equation — is the subject of Paper IV. BBN is automatically preserved (μ = 1 to one part in 10¹⁹). The Bullet Cluster lensing offset remains a known challenge in the tracking regime, flagged explicitly. Distinctive predictions: a₀(z) ∝ (1+z)^(3/2) evolution (identical to ΛCDM in the WKB regime but distinct from MOND with constant a₀); scalar sound speed c_s → c/√2 in deep-MOND; apparent-DM profile set entirely by baryons; possibly enhanced void sizes contingent on the modified-Boltzmann treatment of Paper IV. Paper II of the BH-UDF series of four papers. Paper I derives the MOND acceleration scale and interpolating function. Paper III addresses dark energy from substrate decompression and black-hole recycling. Paper IV completes the cosmological background with the unified substrate potential.</p>