From Linear Flow to Conical Recursion: The "LPC" Progression and the Derivation of the Borgers Constant ({B}) in Emergent 3D Systems

This paper challenges the assumption that reality begins with a "Point" or "Singularity." Instead, we posit that the fundamental unit of cosmogony is the Linear Vector (Time/Flow). Within the framework of Recursive Harmonic Framework (RHF), we demonstrate that the emergence of volumetric reality is a staged geometric progression: Line: Unidirectional Flow (1D). Pendulum: Planar Oscillation (2D). Cone: Volumetric Recursion (3D). We identify a critical energy threshold, herein defined as The Borgers Constant ($\mathcal{B}$), representing the minimum angular incidence required for a three-body linear interaction to "break symmetry" and induce a self-sustaining Conical Helix. This topology explains wave-particle duality as a dynamic oscillation between Real Entropy (Inward Mass Collapse) and Imaginary Thought (Outward Frequency Expansion), unified by the Hypotenuse Principle of 5D Geodesic Flow.