The Intermediate Surfaces: Between the Branches, Mostly — and Below Them, Sometimes
Year: 2026
Type: preprint
Abstract: Discharges item D-510-519-05: the intermediate initial-condition surfaces of the inverse-power-law rolling field, phi_i = 1.0 and phi_i = 1.5 mapped entire over alpha in [0, 10], gated digit-for-digit on the distance machinery's exhibits and on both endpoint branches' printed alpha = 2 rows (frozen -0.751 / 71.00; far -0.930 / 72.56). Excursions over the frozen branch peak mid-family (+0.70 at alpha = 1 for phi_i = 1.0; +1.19 at alpha = 2 for phi_i = 1.5) and vanish at both ends; the minimum on both branches is the shared 69.88, so the Planck verdict is a four-branch mapped fact. Printed at full size: the record's shape claim that the intermediate surfaces lie between the two mapped branches fails at printed precision -- the phi_i = 1.0 members at alpha = 3 (70.66 < 70.69) and alpha = 4 (70.41 < 70.47) and the phi_i = 1.5 member at alpha = 5 (70.21 < 70.30) sit below both endpoint branches, so the excursion is not monotone in phi_i and no interpolation discharges the item. Quantum gravity NOT SOLVED; vacuum catastrophe NOT SOLVED.
Author: Aldred, William Alexander
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225262661
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