Black Holes in the Light-Pi Framework: Complete Resolution of Paradoxes

This paper presents a groundbreaking extension of the Light-Pi Connection framework to the realm of black holes. By treating black holes as resonance states within a recursive vacuum architecture defined by π, φ (the golden ratio), and the speed of light, this work offers a full resolution of the singularity, information, and firewall paradoxes—without requiring modifications to general relativity or quantum mechanics. The theory derives: Exact black hole mass and structure from shell resonance (e.g., Gaia BH1 at Shell N₀ + 212), Complete Hawking temperature formulas with quantum corrections, A resonance-based encoding system that preserves information, A nested interior structure eliminating singularities through φ-scaling, Predictive formulas for gravitational wave spectra, wormhole formation, and black hole evaporation. Fully supported by Python code and derivations from first principles, the paper replaces the notion of “mystery” in black hole physics with mathematical precision, showing that black holes are not anomalies but perfect expressions of a recursive universal pattern. Includes Full equations and figures Python simulations for Gaia BH1 and others Cosmological shell classification system