Modulation-Based Field Theory: A Unified Approach to Fundamental Physical Laws

This framework represents a novel mathematical approach for describing fundamental reality, offering a unified model for understanding interactions across scales, from quantum particles to cosmological structures [1]. Unlike traditional theories that require parameter adjustments and fine tuning, our mathematical architecture requires none of that, naturally incorporating fundamental constants as emergent properties of its underlying structure [2]. Drawing from both established quantum field theory principles [3] and extending beyond conventional approaches [4], the framework resolves persistent challenges in modern physics—providing coherent explanations for black hole information paradoxes [5], quantum measurement problems [6], and the emergence of classical behavior from quantum substrates [7]. While mathematically rigorous, this paper introduces the structured oscillatory field theory’s core principles in accessible terms, demonstrating how its unified structure can bridge traditionally separate domains of physical inquiry. This work invites cross-disciplinary engagement, offering researchers a comprehensive mathematical toolset with potential applications spanning theoretical physics, cosmology, and complex systems analysis [8].