Quadratic Transport and Identified Stationary Continuation in a Lorentzian Simplicial Model
Year: 2026
Type: preprint
Abstract: This paper studies a source-specific domain transition for two identified stationary branches of a boundary-capped Lorentzian simplicial action. At the same actual anchor as the retained regular certificate, an exact quadratic predictor is defined in all 112 bordered variables, including the multipliers. Its source residual cancels through second order, with the complete cubic bound [D4 + 3 L_NNY B2] |t - e|^3 / 6. The translation preserves the unscaled constraint and the original source equations through the total multiplier. On the old admitted domain, the normalized regular residual majorant decreases by approximately 44.52%, using the stated smaller correction ball. One prospectively fixed new source domain is admitted using two mixed and four signed source evaluations. Conditional on the retained source and analytic premises, the two real stationary branches extend to [12288, 245760] tau, where tau = 2^(-61), with actual incoming-root identity on [12288, 196608] tau. The connected identified stationary range is [3, 245760] tau, and all 114 original stationary equations are recovered. The paper distinguishes correction-ball existence from whole-hull uniqueness and proves a ceiling for the particular inherited cubic-majorant recipe. The separately certified finite sections near 1/64 remain unconnected to the near-zero chain. The result retains its source-conditional scope, including the stated conjugation/realness premise. No new whole-theorem formal verification is claimed.
Author: Zhang, Qingchun
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225559511