integrodynamics

integrity is invariant

i–iii · foundations

contradiction, symmetry, adaptation

iv–vi · theory

field, physics, collapse

vii–ix · closure

axioms, origin, integrum

integrodynamics is a unified science of institutional behavior grounded in geometry, information theory, and institutional physics. institutions maintain integrity — coherence between behavior and declared purpose — through dynamical evolution governed by curvature, entropy, and drift.

when behavior contradicts declared rationale, when procedures violate symmetry, when drift exceeds bounds, or when curvature becomes singular, integrity collapses. these failures are not random aberrations but inevitable consequences of uncorrected forces acting on institutional structure. this theory makes them quantifiable and falsifiable.

the series at a glance

part i

contradiction: the geometry of structural conflict

part ii

symmetry: invariance, entropy, and the conservation of integrity

part iii

adaptation: bounded asymmetry and institutional stability

part iv

integrity: a unified field theory

part v

physics: horizons, collapse, and the integrity field

part vi

collapse: a quantitative test for systemic bias

part vii

axioms: structural closure and falsifiability

part viii

origin: empirical derivation and analytic origin of the integrity constant

part ix

integrum: the unified theory of institutional integrity