Countermodels and No-Go Results

Mapping Boundaries, Uniqueness Obstructions, and Failure Modes

Executive Summary (Plain English)

Countermodels are the antibodies of scientific integrity. Foundations Audit documents explicit mathematical and computational countermodels showing where popular foundational assumptions fail: clock adequacy collapse, lower-front propagation bursts, hidden-control false-positive objectivity, and proxy objective collapse.

Evidence Class: Analytic Theorem·Scope: Countermodels establishing no-go boundaries and necessity of hypotheses

Last Audited: 2026-09-18

Claim Boundary & Exclusions Audit

Scope: Countermodels establishing no-go boundaries and necessity of hypotheses

What Is Claimed (Within Scope)

•Dephasing Clock Counterexample: Proves that record accumulation does not guarantee clock adequacy.
•Three-Observer Holonomy Model: Demonstrates non-identity loop holonomy preventing global time coordinates.
•Lower-Front Sector Obstruction: Proves that essential unboundedness of sector velocities precludes uniform exponential propagation envelopes.
•Hidden-Control Objectivity Failure: Sectorwise decoherence can simulate objectivity while integrated observers lack a common record.
•Proxy Objective Failure: Maximizing proxy metrics can drive true performance into catastrophic collapse (Goodhart failure).

What Is NOT Claimed (Prohibited Inferences)

•Countermodels are not claims that physics is impossible; they are proofs that specific mathematical shortcuts are invalid.

Technical Exposition & Formulation

Each countermodel identifies the target proposition, supplies the exact countermodel state or Hamiltonian, calculates the resulting metrics, and proves the failure of the proposed assertion.