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Published May 7, 2026 | Version v2
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The Law of Duality: A Formal Theoretical Proposal — A Unified Framework of Complementary Helical Dynamics Across All Scales of Reality and AAIS Frame Work

Description

The Law of Duality proposes that a single recurring structural principle
— two complementary poles (one structural and governed, one relational
and emergent) orbiting each other in a helical configuration —
constitutes a fundamental invariant observable across all known scales
of reality, from quantum mechanics to cosmology, from biology to
mythology.
This paper presents a formal articulation of this proposed principle. The
framework hypothesizes that the interplay between a
Structural Pole
(associated with discrete boundaries, deterministic governance, and
order) and a
Relational Pole (associated with delocalized emergence,
flow, and transformation) generates a self-stabilizing, fail-closed helical
architecture that may underlie phenomena across physics, biology,
neuroscience, economics, and cultural symbolism.
The framework is formalized through a governed double-helix
mathematical architecture employing base-pairing complementarity
conditions, phase-lock constraints, and helical modulation functions. All
claims are presented as hypotheses requiring empirical validation and
rigorous peer review

Files

A Formal Theory of the Duality Invariant.pdf