Photosynthesis
Photosynthesis is the τ-categorical instantiation of canonical structure generation in the Source sector: the morphism CO₂ + H₂O + light ↦ organic carbon + O₂ that satisfies all three Structure-Generation predicate conditions and earns the source-fiber assignment for plants and cyanobacteria.
τ-Definition
Photosynthesis is the τ-categorical instantiation of canonical structure generation in the Source sector: the morphism CO₂ + H₂O + light ↦ organic carbon + O₂ that satisfies all three Structure-Generation predicate conditions and earns the source-fiber assignment for plants and cyanobacteria.
Categorical invariant. Photosynthesis = canonical Structure-Generation morphism in the Source-sector fiber: a γ-dominant Loop_L variant whose codomain is irreversible reduced-carbon production at ~170 Gt C·yr⁻¹ globally.
Primary registry anchor:
VI.D38
τ-Derivation Chain
-
I.K0— Universe Postulate -
VI.D15— Life Sector -
VI.D36— Source Sector — fiber-enabled production regime -
VI.D37— Structure-Generation Predicate — three conditions for canonical production -
VI.D38— Carbon Fixation as Canonical Production — photosynthesis instantiation -
VI.T20— Source-as-Fiber-Production — sector-predicate equivalence
Empirical Correlate
Biomarker: Net primary productivity (NPP); chlorophyll a/b ratio; photosystem II quantum yield (Fv/Fm ~0.83 in healthy leaves); ¹³C/¹²C discrimination signature (δ¹³C ≈ −28‰ for C3, −13‰ for C4).
Measurable range: Global gross primary production ~120 Gt C·yr⁻¹; net primary production ~60 Gt C·yr⁻¹ terrestrial + ~50 Gt C·yr⁻¹ marine; canopy CO₂ uptake 5-30 μmol·m⁻²·s⁻¹; FMO complex coherence times ~660 fs at 77 K.
Observation method: Eddy-covariance flux towers; pulse-amplitude-modulated (PAM) chlorophyll fluorometry; gas-exchange chambers (LI-6800); satellite SIF (solar-induced fluorescence); 2D electronic spectroscopy for FMO quantum coherence.
Calibration anchor: LG-Y02-kinetic-pseudoscalar-channel
Anchor chain:
- VI.L18 chirality channel
- D-glyceraldehyde-3-phosphate as Calvin-cycle output (D-sugar handedness)
- L-amino-acid stereochemistry of RuBisCO and the photosystem complexes
Manuscript reference: manuscript-sources/book-06/part04/ch24-photosynthesis.tex
Lean Coverage
Status: Planned