***APPLIED OVERVIEW****Take any system you already trust. • Identify one outcome you rely on (Y) • Identify one assumption you normally ignore (X) • Introduce a small coherence break (Z) If Y survives, this framework fails. If Y degrades first, the constraint holds. Stop. No further steps required.

Authors: Sean Mansfield
Cited by: 0

Abstract

“If X is true, then Y must fail under Z.” Canonical Summary and Navigation Guide (v1.0) Overview This document provides the canonical summary of the Systemic Dynamic Trajectory Law (SDTL), a minimal, observer-invariant constraint law governing recoverability and trajectory in regulated systems. It introduces no new theory and exists solely to orient readers to the core law, equations, falsifiability, and structure of the associated research program. Axiom Persistent constraints on agency reduce recoverability over time. Systemic Dynamic Trajectory Law The trajectory of a regulated system is determined by the interaction of intrinsic constraints, transitory patterns, regulatory feedback, and time. Formal Expression T(t) = F(C_i, C_t(t), R(t), t) Recoverability Constraint If constraints on agency persist, recoverability decreases monotonically and the set of viable trajectories collapses. Measurement The law is operationalized using the Intrinsic Maneuverability Index (IMI), an ordinal, observer-invariant scale describing severity of agency constraint. Measurement refinement improves empirical resolution without altering governing equations. Falsifiability SDTL is falsified if persistent agency constraints do not reduce recoverability, or if recoverability increases under sustained constraint. Project Structure This summary links to the following projects: - Systemic Dynamic Trajectory Law (SDTL): core axiom, equations, and theory - Replication Guide (v1.0): procedures for independent testing - Applied Measurement of Agency Constraint Using IMI: operational applications - Empirical Instantiation and Calibration: modern, historical, and ancient pilots Status This document represents the stabilized canonical summary (v1.0). Future work may extend datasets and applications without modifying the axiom or equations. 📌 Version & Replication Status Current release: v1.0 (Stable) Status: Frozen for evaluation and replication This project represents a stable, internally consistent release intended for independent review, audit, and replication. All core definitions, constraints, and structural relationships in v1.0 are fixed. Future developments will be released under

Fields of Study & Subjects

Complex Systems and Dynamics Complex Systems and Decision Making Diverse Interdisciplinary Research Studies

Publication details

Journal / source
OSF Preprints (OSF Preprints)
Publication date
9 January 2026
Document type
Preprint