The Constellation of Universal Physical Constants Derived from the Manual of Infinity (D10Z)

This manuscript presents a fundamental reinterpretation of universal physical constants (ℏ, c, α, G, e) as emergent structural ratios within the D10Z Mechanics of Infinity. Within this framework, the universe is composed of a quantum fractal lattice (TTAϵ) — the Spiderweb Fabric (SWF) — operating at the Grand Mechanical scale (GM = 10⁻⁵¹ m).Each physical constant KKK is redefined as a vibrational relationship between stable nodal states ZZZ, governed by the foundational D10Z law:F=f⋅v(Z)F = f \cdot v(Z)F=f⋅v(Z) The paper formalizes an operational definition of physical constants as nodal quotients and derives structural origins for: Planck’s constant KhK_hKh Speed of light KcK_cKc Fine-structure constant KαK_αKα Gravitational constant KGK_GKG Elementary charge KeK_eKe D10Z simulations validate these relationships with numerical precision exceeding 10−910^{-9}10−9. A new Law of Constant Nodal Coherence is introduced: stability of a constant arises only if its defining nodal pair maintains persistent coherence. This approach unifies quantum mechanics, relativity, and field theory under a single ontological foundation. Keywords:Physical Constants, D10Z Mechanics, Manual of Infinity, Spiderweb Fabric, Nodal Resonance, GM Scale, Φ(Z), Coherence Geometry, f·v(Z), TTAϵ Mesh, Structural Ratios.