





























Abstract:This manuscript develops material from the internal French research notes Traite de Topologie Algebrique Fractale into an academic manuscript. The editorial rule is strict: implementation names are not used as mathematical proofs, analogies are not promoted to theorems, and every formal result is either proved from explicit assumptions or downgraded to a model law, conjecture, or empirical claim. The central object is T n , a finite heterogeneous concept container formalized as a section of a product bundle whose slots include an empirical sensorimotor base R 14 , grammatical fibres, polarity, intensity, vision and audition slots, an SSTD spectral slot, a refined compositional fibre, and auxiliary tool/metric/axis/hint slots. We prove elementary structural results about product-bundle representation, heterogeneous GCM metrics, and continuity of componentwise operations. We then give conditional results for Frobenius-inspired crystal composition, Gamma/CNS curvature-Hopf modelling, Kalman convergence, SSTD bundle morphisms, and SpiderR flat-connection idealizations. Each conditional result includes its assumptions, proof status, implementation correspondence, and the boundary between mathematics, model assumptions, and empirical evidence.
From: Jean-Philippe Garnier [view email] [via CCSD proxy]
[v1]
Tue, 23 Jun 2026 07:28:59 UTC (60 KB)
此内容由惯性聚合(RSS阅读器)自动聚合整理,仅供阅读参考。 原文来自 — 版权归原作者所有。