Source Sector
The Source Sector is the full subcategory of the Life Loop Class with γ-winding dominant — the sector that produces: converting inorganic inputs into organic structure on the γ-fiber of the Eukarya-enabled platform. Its biological archetype is Plants (broadly: photoautotrophs and chemoautotrophs at scale).
τ-Definition
The Source Sector is the full subcategory of the Life Loop Class with γ-winding dominant — the sector that produces: converting inorganic inputs into organic structure on the γ-fiber of the Eukarya-enabled platform. Its biological archetype is Plants (broadly: photoautotrophs and chemoautotrophs at scale).
Categorical invariant. Full subcategory of Loop_L with dominant γ-winding number; γ-fiber sector that requires the fiber-enabled regime (VI.D47); pairs with VI.D18 as fiber-base and VI.D36 as realized sector.
Primary registry anchor:
VI.D36
τ-Derivation Chain
-
I.K0— Universe Postulate establishes the categorical kernel τ -
VI.D10— Life Loop Class — the parent category -
VI.D47— Fiber-enabled regime — γ-fiber requires Eukarya-class platform -
VI.D18— Source Sector γ-fiber — base structure -
VI.D36— Source Sector — full subcategory of Loop_L with γ-dominant winding -
VI.T20— Source as fiber production
Empirical Correlate
Biomarker: Photoautotrophs at biosphere scale: vascular plants, bryophytes, algae, cyanobacteria; chemoautotrophs at vent and deep-subsurface scale: sulfur-oxidizers, iron-oxidizers, methanogens (in their autotrophic mode). Diagnostic: net inorganic-to-organic flux — CO₂ fixation via Calvin cycle, rTCA, Wood-Ljungdahl, or 3HP/4HB pathway.
Measurable range: Global net primary productivity ~10¹⁷ g C/year (~half terrestrial, half marine); leaf-level photosynthesis 5-50 μmol CO₂/m²/s; canopy assimilation up to 100 μmol/m²/s; deep-sea hydrothermal-vent chemosynthesis 0.1-10 g C/m²/year (much lower flux but a non-photosynthetic source). Fossil-record abundance: cyanobacteria ~3.4 Gya; vascular plants ~430 Mya.
Observation method: Eddy-covariance flux towers (ecosystem); gas-exchange leaf chambers (organism); ¹³C-pulse-labeling (pathway); satellite NDVI/SIF for global mapping; isotope δ¹³C signatures distinguishing C3/C4/CAM photosynthesis; ¹⁴C dating for fossil source-sector members.
Calibration anchor: LG-Y02-kinetic-pseudoscalar-channel
Anchor chain:
- VI.D36 Source Sector — γ-dominant winding
- VI.R14 Plants as source archetype
- K_χ universality — every fixed carbon enters the L/D-handed pool defined by the parity-shadow
Manuscript reference: manuscript-sources/book-06/part04
Lean Coverage
Status: Planned