Photochemical Non-Equilibrium Systems in USP Field Theory: Operational Δf Thresholds Across Atmospheric and Biological Domains

Overview This document (msf:47500) presents a unified geometric interpretation of photochemically driven non-equilibrium systems within the framework of USP Field Theory. Three physically distinct domains are analyzed: • Stratospheric ozone photochemistry • Heat-wave driven nanoparticle formation (NPF) • Photosynthetic charge separation Despite their differences in scale and mechanism, all three systems exhibit a shared structural lifecycle: Excitation → Detuning (Δf) → Geometric Stabilization → Relaxation or Storage This document formalizes that lifecycle using operational, measurable proxies grounded in conventional kinetics. Correspondence with Established Physics No modification of established photochemical kinetics, thermodynamics, or optical attenuation laws is required. The document explicitly preserves: • Conservation of energy (ΔG_stored ≤ hν_absorbed) • Standard reaction rate formalism • Beer–Lambert optical attenuation behavior • Steady-state atmospheric chemistry modeling USP terminology (Δf, coherence, stabilization corridors) is used as a geometric interpretation layer rather than a replacement for established equations. Operational Threshold Definitions For each system, a measurable proxy for the detuning threshold (Δf_crit) is defined: Ozone χ_O3 = J_O2→O / k_eff,relax Threshold condition: χ_O3 ~ O(1) This corresponds to excitation competing with recombination capacity in the stratosphere. A worked numeric example using typical 30 km UV photolysis rates anchors the interpretation. Heat-Wave Nanoparticle Formation (NPF) χ_NPF = P_LVOC / (CS · C_LVOC) Threshold condition: χ_NPF ≥ O(1) This expresses the competition between production of condensable organics and loss to the condensation sink. Photosynthesis χ_PS = k_CS / (k_NR + k_F) Threshold condition: χ_PS ~ O(1) This quantifies when productive charge separation dominates over radiative and nonradiative loss channels. Exponential detuning attenuation is shown to naturally recover the Beer–Lambert law: d(Δf)/dL = −γΔf → Δf = Δf_in e^(−γL) Thus USP geometric damping is fully compatible with standard optical attenuation. Scientific Contribution This document does not introduce new empirical constants. Instead, it: • Unifies atmospheric and biological photochemistry under a shared geometric lifecycle • Provides operational, instrument-facing threshold definitions • Anchors Δf interpretation to measurable rate ratios • Demonstrates cross-domain consistency without violating correspondence principles The result is a cross-domain, scale-consistent interpretive framework compatible with established chemistry and atmospheric science. Document Classification Category: Applied USP Framework Domain: Photochemistry / Atmospheric Physics / Biophysics Status: Operational refinement document