Tensorial Field Theory of Absorption and Exchange

This work proposes a field-theoretic reinterpretation of biological absorption and gas exchange processes based on φ-field dynamics and tensorial flow theory. Challenging the traditional notion that gases pass through the intracellular space, we argue that such transit is physically invalid due to the lack of molecular continuity and gradient definition within the cytoplasm. Instead, we demonstrate that gas exchange occurs across structured intercellular interfaces—particularly in alveolar epithelium—where coherent phase gradients are maintained. We model absorption and emission as divergence-controlled tensorial field flows: and further extend this to include phase-modulated gating by respiratory motion: where S(t) represents the rhythmic opening and closing of intercellular channels. Clinical practices such as CPAP (Continuous Positive Airway Pressure) reinforce this interpretation, as they stabilize intercellular geometries without influencing intracellular environments—thus providing indirect empirical support for the intercellular φ-field model. This paper also classifies biological structures into transit-type field organs (e.g. alveoli, intestines) and buffer-type accumulative-release tissues (e.g. liver, adipose), based on their φ-gradient dynamics. We conclude that biological physiology must be reformulated not as intracellular flow, but as phase-synchronized field propagation across structured manifolds—a perspective consistent with gauge theory and divergence principles.