A Geometric Derivation of Physical Constants via Triadic Dimensional Interference

This paper proposes a novel mathematical framework, Bulk Network Cosmology (BNC), to derive fundamental physical constants as emergent properties of spacetime geometry rather than arbitrary free parameters. By defining existence through the "Triadic Interference" of three fundamental wave modes—the Square Wave (Materiality), the Circle Wave (Gravitationality), and the Closure Wave (Informationality)—we formulate the constants of nature as functions of effective dimensionality (Deff). The core of the derivation lies within the Torque Stability Window [τ_min, τ_max] = [0.31, 0.38], identified as the unique standing wave region where spacetime achieves semantic closure. We demonstrate that the fine structure constant (α ≈ 1/137) arises from the dimensional "overflow" (0.01D friction) generated by the interference between the Information Path Dimension (Dp ≈ 1.68D) and the Stable Transport Band (Ds ≈ 3.35D). Furthermore, we present a triple derivation of the cosmological constant (Λ) through geometric, renormalization group, and semantic closure pathways. This research suggests that physical laws are the inevitable result of a self-referential geometric system, bridging the gap between quantum information theory and cosmology.