The Resonance Framework and Foundations of the Grand Unified Resonance Theory (GURT)

This paper establishes the theoretical and mathematical foundation of the Grand Unified Resonance Theory (GURT), a deterministic, wave-based framework that reinterprets all physical structure as nested harmonic interference. GURT replaces particle-based and probabilistic models with a coherent resonance geometry grounded in a universal root frequency. Using only frequency, binary logarithmic scaling, and sinusoidal projection, GURT defines all structure as nested coherence patterns. This foundational paper introduces the Primordial Origin, Root Resonance, Resonance Doublings, and the Primordial Echo — the harmonic scaffolding from which matter, gravity, and cosmology emerge.