The completion: a relativistic field theory carrying a_0 = kappa c sqrt(G rho_Lambda)

Read full text
Authors: Carl P. Zimmerman
Cited by: 7

Abstract

v9 (2026-08-11) -- ONE PREDICTION RE-DERIVED (its mechanism was misattributed), TWO NEW PREDICTIONS ADDED, AND AN S8 NULL. Sec. 5's 'accelerated structure formation / earlier massive objects' row is RESTORED and re-derived. A draft of this version WITHDREW it, arguing that abundance is set by linear growth and that rows 19-20 make linear growth LambdaCDM's. That reasoning was WRONG IN SUBSTANCE: collapse TIMING is nonlinear, the a_0-line governs accelerations at every scale, and the delta Y^(1) = 0 theorem says nothing about nonlinear collapse. The two facts coexist -- LambdaCDM halo ABUNDANCE and accelerated collapse TIMING. The draft compounded the error by pricing the nonlinear boost at delta ~ 200 (the END of collapse, = -1 always); owed: the CLASS re-run with the derived law, the MUSE/MSA-3D re-exam against the bumpless shape, a referee-grade covariant SVT decomposition. v6 (2026-08-10) -- AN ERRATUM AGAINST v5, FILED AGAINST MY OWN ARGUMENT. v5's non-claim 2d rested one of its three steps on a CATEGORY ERROR: it bounded the EXPORT of the dust's energy from a galaxy by the khronon's own polytropic sound speed (~690 Gyr). grad_mu T^munu = 0 bounds the TOTAL ENERGY, not the FLUX VELOCITY; the bound on how fast energy can leave a region is CAUSALITY, and AeST has two massless tensor modes at exactly c -- by this paper's own row 17 -- so an O(c) export channel exists in the theory as written (1 Mpc in 3.3 Myr, faster by 2.1e5). THAT STEP IS WITHDRAWN. Also withdrawn: that the leak rates 'lock' at rho_Lambda/rho_dust = 2.60, which is merely today's density ratio. THE CONCLUSION SURVIVES ON STRONGER, PUBLISHED, TRANSPORT-INDEPENDENT GROUNDS: exporting the energy removes it from the GALAXY, not the UNIVERSE, so the measured global budget decides. A halo-gated conversion to dark radiation needs a converted fraction zeta ~ 0.6 against the EPOCH-MARGINALISED bound zeta < 0.0204 (Planck primary CMB) to 0.0374 (+lensing+BAO+SN+DES) [McCarthy & Hill, PRD 108 063501,

Fields of Study & Subjects

Pulsars and Gravitational Waves Research Relativity and Gravitational Theory Gamma-ray bursts and supernovae

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
12 August 2026
Document type
Preprint