Mut v1.0.4 A Non-Relativistic Derivation of Solar Light Deflection: Validating the Awareness (effective background scalar field) Field Theory and the 1.835547x 10^-20 aw Constant

This research presents a groundbreaking non-relativistic approach to calculating the gravitational deflection of light. By introducing the Awareness (effective background scalar field) Field Theory (AFT) and a new universal constant, 1 \text{ aw} = 1.835547 \times 10^{-20}, the author demonstrates that solar light deflection (1.751") and anomalous planetary precession can be derived through a Field Density Gradient mechanism. Unlike Einstein’s General Relativity, which relies on non-Euclidean space-time geometry, AFT provides a unified, frequency-based interaction model that bridges the gap between quantum atomic stability and macro-scale celestial mechanics. This paper offers a simpler, mathematically robust alternative for understanding the fundamental forces of the universe. In this version, the term “Awareness” is formally interpreted as an effective background scalar field (EBSF), clarifying its role within the physical framework of the theory.