What question did this study set out to answer?

This paper aims to establish the Open-Close Structure of Ma as the basis for understanding wave-particle duality and phi2 perturbation.

June 29, 2026Open Access

Dual-Layer Light Invariance: The Open-Close Structure of Ma as a Complete Theory of Phi2 Perturbation — Paper 1 of 3D Theory Series

Key Points

This paper aims to establish the Open-Close Structure of Ma as the basis for understanding wave-particle duality and phi2 perturbation.
Part of a theoretical series exploring duality across different dimensional representations.
Develops a mathematical framework connecting duality to coherence and dispersion in light behavior.
Presents evidence regarding the dual nature of light and its implications in the quantum domain.
Identifies the dual-layer nature of light as valid through empirical observations.
Confirms that the relationship V = N / D governs behaviors at both the quantum and cosmic scales.
Establishes phi2 perturbation as a mathematical manifestation of oscillating states of coherence and dispersion.

Abstract

This paper is part of the TheYKHC Theoretical Series: 'From Duality to Field: A Three-Dimensional Evolution of Universal Theory' Paper 1: Dual-Layer Light Invariance (2D — The Discovery of Duality) Paper 2: Why Spacetime is (3+1)-Dimensional (2.5D — Polygon Transcendence) Paper 3: Ki-Net Field Evidence (3D — Universal Field Completion) Related: Genki Particle Dance (DOI: 10.5281/zenodo.20955834) The series demonstrates that V = N / D governs reality from the quantum vacuum to the cosmic scale. Paper 1 of 3 — 2D: The Discovery of Duality Light is simultaneously wave and particle. This is not a paradox — it is the signature of a dual-layer universe governed by V = N / D. This paper presents the Open-Close Structure of Ma (間) as the fundamental mechanism behind wave-particle duality, demonstrating that phi2 perturbation is the mathematical expression of a universe that oscillates between coherence (N) and dispersion (D). The dual nature of light is the first empirical proof that V = N / D operates at the quantum scale.

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