Torsion-Modulated Recursive Branching (TMRB) and Piano Mathematics
Year: 2026
Type: preprint
Abstract: The Milky Way disk is still ringing from the Sagittarius dwarf pericenter passage ∼300–500 Myr ago. This paper applies the Torsion-Modulated Recursive Branching (TMRB) framework to galactoseismology and predicts a fundamental disk-wave crest period of 230 Myr, with the next crest at the present epoch — consistent with the large-amplitude Gaia DR3 phase spiral. The 9-fold discrete torsion structure (θn = 2πn/9, n = 0,…,8) provides the first discrete realization of BMS superrotation charges at null infinity, closing the infrared triangle among Weinberg’s soft graviton theorem, BMS asymptotic symmetries, and gravitational memory. The 230 Myr crest is the macroscopic displacement-memory signature of this discrete symmetry. v3 corrections and upgrades: Branching weight updated to modular-covariant DFT fixed-point: wn = C exp(−πn2/9); torsion entropy 9 ln 9 ≈ 19.775. κCE = 0.4038 (this paper) explicitly distinguished from κprop = 0.48 (VASIMR/QGGPf). Formal null model: ηnull = 1.0 ± 0.15 (uniform random phase). TMRB prediction ηdiff = 0.82 ± 0.02 requires >3σ resolution over ≥3 crest epochs for detection. CDT 11D extension labelled conjectured; non-SUSY declared throughout. G4/G11 = (5.214 ± 0.12) × 10−40 provides stress-tensor normalisation for the disk-wave amplitude. ZF Z9 parafermion primaries (c = 16/11, Gepner–Qiu 1987) map onto the nine torsion phases, connecting galactoseismology to flat-space holography. Single parameter ηdiff = 0.82 ± 0.02 spans 1023 m from Planck scale to galactic disk. Three upgraded figures; abstract margin and reference linking fixed; all DOIs hyperlinked. Falsification test: Gaia DR4 kinematics.
Author: Bressler, George H.
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7149241071
Cites:
Cited by:
Related to: