Systemic Geometry Under Stress: From Measurable Social Geometry and Bottleneck Cascades to Controlled Diffusions, Antifragile Policy Loops, and Consequence-Aware Governance — Integrated & Extended Edition

[wAI ~ wErrors] This source-complete synthesis integrates a sequence of methodological and experimental works on measurable social geometry, controlled stochastic dynamics, graph bottleneck detection, intervention, multilayer resilience, antifragility, and consequence-aware governance. Version 1.1 incorporates an adversarial editorial review as proposal-generation input only: useful extensions are retained as explicitly marked research proposals, while unsupported extrapolations are rejected. The programme begins by replacing an inadmissible asymmetric “social metric” with a symmetric metric plus drift, deriving Fisher–Rao geometry rather than positing a metric, and using empirical Ollivier–Ricci curvature as a computable graph observable. A matched-pair counterexample forces an early correction: mean curvature can point in the wrong direction; fragility is carried by the lower tail. A controlled Langevin extension adds internal potential, environmental drift, agency, and shocks, and links curvature, spectral gap, recovery, escape time, and critical slowing while making identifiability explicit. The graph-bottleneck series then turns measurement into an engineering pipeline. Several attractive shortcuts are tested and corrected: plain Forman curvature is rejected for the task; augmented Forman is later superseded at screening by neighbourhood overlap; a hard common-neighbour rejection rule is falsified; and a backwards LP early-stop proposal is replaced by an exact two-sided Kantorovich bracket. The mature cascade separates optional heuristic screens from exact promotion, exact bounds, and exact LP confirmation. Spectral screening, Sinkhorn, incremental updates, GNN rewiring, sparse-graph threshold failure, and core–periphery counterexamples are retained with their negative results. The later works move from detection to action. K-step unpeeling creates a failure hierarchy; inverse fortification shows that curvature, algebraic connectivity, signal preservation, recovery, and contagion are different objectives; geometric Braess effects expose intervention externalities; weak-channel capacity can worsen local geometry; static robustness fails the Taleb antifragility test; adaptive self-healing earns the term only in a closed policy loop and only after placebo/no-repair controls. Directed and multilayer extensions show that direction and transfer points can change the ranking itself, that the second layer may donate survivability without local geometric repair, that cross-layer budgets are generally non-fungible, and that spectral screens have identifiable validity regimes. The synthesis introduces two explicitly proposed integration objects. A Systemic Stress Contract declares the observed object, process, shock family, admissible actions and budget, validation/side-effect panel, and governance allocation. A vector-valued Stress Passport records tail curvature, spectral quantities, recovery, Braess externality, signal cost, directional asymmetry, cross-layer substitution, and consequence exposure without pretending these coordinates are one scalar notion of “resilience.” The Consequence Gap methodology is incorporated as a governance layer: authority and intervention power must be separated from who bears the downside. The reviewer-integration pass adds five clearly proposed extensions: a process-polarity test for recovery versus contagion, a matched placebo-adjusted antifragility effect, an online repair-work/structural-change ledger for dynamic graphs, information-asymmetric attacker–defender games, and a latent-multiplex challenge in which hidden layers must improve held-out predictions over the best one-layer null. These proposals culminate in a Systemic Stress Compiler: a typed pipeline that compiles a declared stress contract into candidate diagnostics/interventions, exact/heuristic evidence status, side-effect tests, governance gates, no-action/placebo controls, and commit/abstain/rollback output with provenance. A separate interface section relates this research to the broader S.V.E. Verified Executable Knowledge and Phase/Clifford programmes without transferring evidential status. An explicit review-integration ledger records what was adopted, downgraded, or rejected: no fixed Consequence-Gap threshold authorises automatic quarantine; synthetic buffer-node experiments are not direct regulatory prescriptions; Braess measurements do not alone prove global non-submodularity; and Phase/Clifford speedups require matched benchmarks. The paper ends with application maps, strong falsifiers, a practical intervention protocol, and a staged roadmap from external replication and real weighted directed graphs through dynamic and latent multilayer systems, adversarial information games, action-shortlist theory, consequence-aware autonomous resilience, independent audit standards, and a killable systemic stress compiler. S.V.E. Meta-License v5.0