
This preprint defines high gain in Directional Pressure Failure (DPF) terrain as threshold proximity within a constrained distributed-load biological system. Building on the Vertical Terrain Axis framework of Lantern of Sulfur (LoS), Concept B2 formalizes a material compliance gate: X = E × Iᵥ × Iₜ × B Where execution direction (concentration vs redistribution) is determined not by input magnitude but by the product of: E — Exit availability / permission Iᵥ — Vascular interface integrity (glycocalyx) Iₜ — Tissue transmission integrity (ECM / interstitium) B — Buffering medium capacity (sulfur-linked buffering / redox / charge–water behavior) When X falls below a state-dependent threshold T(s), identical inputs execute as upward pressure concentration (DPF). When X meets or exceeds T(s), execution proceeds as downward redistribution (coherence). This module clarifies sulfur-linked buffering and structured hydration not as supplement strategies but as material properties governing interface compliance and load transmission. The Acid Window is formalized as a timing-dependent execution surface in which exit permission and buffering margin align to permit redistribution without increasing force. No treatments, dosing strategies, or clinical protocols are proposed. This paper defines portable operators used by subsequent DPF / LoS modules. This work is part of the Lantern of Sulfur (LoS) framework, a systems-level model of electrolyte balance, RAAS signaling, and physiological coordination. For the complete Lantern of Sulfur framework, reading order, and updated convergence dynamics materials, see the Lantern of Sulfur Master Index (Concept DOI): https://doi.org/10.5281/zenodo.17915492
Rights / Provenance and Scope Note This record is part of the Lantern of Sulfur / Restoration Atlas provenance corpus. This preprint presents a conceptual systems framework for interpreting state-dependent physiological responses, including terrain synchronization, cross-layer regulators, system compliance, Directional Pressure Failure, and state-first sequencing. Public access is provided for citation, review, scholarly discussion, and provenance verification. This work may not be used to create derivative frameworks, diagnostic tools, clinical protocols, prompt systems, commercial products, datasets, training materials, applied methods, decision systems, or related systems without written permission from the author. This paper is not a treatment protocol, medical device, diagnostic instrument, or substitute for individualized medical care. It is a hypothesis-generating systems model intended to support interpretation, research discussion, and pattern recognition. License: Creative Commons Attribution–NonCommercial–NoDerivatives 4.0 InternationalShort form: CC BY-NC-ND 4.0
coherence envelope, acid–base buffering (CO₂/NAGMA), HPA–RAAS coupling, distributed-load systems, threshold proximity, Lantern of Sulfur, sulfation, Directional Pressure Failure (DPF), high-gain systems, extracellular matrix (ECM), load redistribution, tensegrity physiology, timing gates (Acid Window, Hydration Window), execution geometry, interface integrity, structured water, sulfur-linked buffering, redox biology, Vertical Terrain Axis, glycocalyx
coherence envelope, acid–base buffering (CO₂/NAGMA), HPA–RAAS coupling, distributed-load systems, threshold proximity, Lantern of Sulfur, sulfation, Directional Pressure Failure (DPF), high-gain systems, extracellular matrix (ECM), load redistribution, tensegrity physiology, timing gates (Acid Window, Hydration Window), execution geometry, interface integrity, structured water, sulfur-linked buffering, redox biology, Vertical Terrain Axis, glycocalyx
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