NEW PUBLICATION - The Echo-Excess Principle: A Structural No-Collapse Constraint on Generative Systems

The Echo-Excess Principle: A Structural No-Collapse Constraint on Generative Systems

Don L. Gaconnet | LifePillar Institute | January 2026

Generative systems across physical, cognitive, and social domains exhibit a common architectural requirement: complete resolution of internal structure leads to collapse rather than maximal productivity. This paper introduces the Echo-Excess Principle (EEP), which identifies a structural no-collapse constraint necessary for generativity to persist.

The principle holds that generative architecture requires two co-constitutive conditions: (1) a no-collapse constraint (N) that prevents total resolution, functioning not as a measurable quantity but as a boundary condition on allowable dynamics; and (2) a persistence operator (matter) that stabilizes distinction across time.

Empirical observations in two independent domains show alignment with a minimum unresolved architectural fraction near 3/7, consistent with the theoretical derivation. The framework exhibits structural correspondence with the Riemann Hypothesis critical line at Re(s) = 1/2.

Falsification conditions are specified. The framework predicts its own necessary incompleteness.

DOI: 10.5281/zenodo.18147115

ORCID: 0009-0001-6174-8384