Particle Quintuple Descriptor Framework: Formal Integration of Information Geometry, de Rham Cohomology, and Field Theory (V1.3)

This paper presents V1.3 of an exploratory mathematical physics framework unifying five mathematical descriptors P = (D₁, D₂, D₃, D₄, D₅) — covering Information Geometry, Algebraic Topology, Quantum State theory, φ⁴ Field Theory, and Charge Quantization — now extended by a zeroth descriptor D₀ drawn from the Information Fractal Geometry (IFG) Fractal Folding Theory. The IFG framework posits that physical reality emerges from a hierarchical self-similar folding of high-dimensional information space onto lower-dimensional projections. The folding parameter λ ≡ 3 − D_s ∈ [0,1] governs this process. At λ → 1, the system enters the Boundary Encoding Phase (BEP): a topologically locked state with A_I → 0, S → 0, analogous to an information superconductor. [V1.3] The physical interpretation of all IFG components remains open. No claim is made of a complete particle physics model, experimental prediction at precision level, or replacement of the Standard Model.