From Structure–Symbol Sample Space to Quantum Logical Systems and Gauge Fields ——A Unified Derivation of the ΔS Framework: The Logical Emergence of Quantum Mechanics, Gauge Fields, and Gravity
kaifa chen
This paper presents a complete derivation chain: starting from the structure–symbol sample space (p,τ,P(τ∣p))(p,τ,P(τ∣p)) and the local irreversibility ΔSΔS, without introducing any additional quantum assumptions, it progressively derives the entire core structure of quantum mechanics, and further derives quantum field theory, gauge fields, gravity, and mass generation mechanisms. The core of the derivation chain is the natural linear structure of the Fisher metric in amplitude coordinates, and the topological properties of the Berry curvature on the logical manifold. This paper does not seek to "interpret" quantum mechanics, but to demonstrate that quantum mechanics can emerge from logical systems. The paper also lists both the core problems that have been solved and the open problems that remain, enabling readers to assess the boundaries of this path. Keywords: ΔS framework; Fisher metric; Berry curvature; Quantum emergence; Gauge fields; Gravity; Mass generation; Logical systems
•Aug 26, 2026•0 citations