The Soliton Wake: Exploring RBH-1 as a Temporal Topology Candidate

The runaway supermassive black hole RBH-1 (z ~ 0.96) presents a thermal paradox: JWST spectroscopy reveals a 650 km/s velocity discontinuity coexisting with cold, star-forming gas. Higher-resolution Keck/LRIS spectroscopy yields a narrow apex dispersion (sigma ~ 31 +/- 4 km/s), far below the sigma ~ 80-85 km/s expected if the emitting gas were predominantly at T ~ 10^7 K. Standard shock physics predicts post-shock temperatures T ~ 10^7 K, yielding a cooling time that exceeds the dynamical time by a factor of ~30. Yet the wake exhibits immediate star formation and extreme collimation (50:1 aspect ratio over 62 kpc).

RBH-1 is explored as a candidate Temporal Topology soliton/wake interpretation: a coherent region of altered proper-time rate. Under this candidate framing, the observed velocity discontinuity is reinterpreted as a metric shock (spatial gradient in gravitational redshift) rather than bulk thermalization, and the effective Jeans mass is reduced behind the front via time dilation, enabling immediate star formation without heating.

The characteristic temporal scale R_T, calibrated from terrestrial GNSS correlations (Smawfield 2025g), is applied as a consistency check rather than as proof that RBH-1 is a soliton. For RBH-1 (M ~ 2 x 10^7 M_sun), the calibration yields R_T ~ 7.8 x 10^7 km ~ 1.3 R_S, comparable to the near-source transition scale, not the full 62 kpc wake length. The amplitude of the observed kinematic discontinuity depends on screening/transition physics (via beta_eff at R_trans) and is treated as an empirical constraint rather than an independent prediction. Specific falsification criteria are outlined; decisive discrimination awaits line-profile decomposition and X-ray flux limits.

Website: https://mlsmawfield.com/tep/rbh/
Code Availability: https://github.com/matthewsmawfield/TEP-RBH

DOI: 10.5281/zenodo.18059250

Keywords: black holes: individual (RBH-1) – dark matter – gravitation – scalar fields – temporal equivalence principle – Temporal Topology – solitons

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