A Referential Decomposition of Coulomb 's Law

This paper presents a referential decomposition of Coulomb's law within Referential Entropy Cycle Theory (RECT). RECT proposes that physical quantities can be understood as different physical expressions of unified relations between reference structures. Building on the binary referential framework established in previous work, this paper examines the mathematical structure of Coulomb's law, F = kq₁q₂/r². The analysis interprets charge, distance, field, and force as different expressions of the same underlying referential relation. In the minimal binary structure, opposite relational expressions are represented as q₁ = +r and q₂ = −r, giving q₁q₂ = −r² and q₁q₂/r² = −1. Consequently, Coulomb's law reduces to F = −k within this representation. The paper does not attempt to replace the experimental foundations of classical electromagnetism, but investigates whether the mathematical structure of Coulomb's law can be embedded in a unified referential framework.