Results Glossary Entry Canonical life An ecosystem is a multi-scale Poincaré-circulation Life Basin: a τ-categorical Life Basin spanning multiple organism populations whose source / closure / consumer-mixer / persistence sub-loops compose into a stable cyclic flow. It is the sm…
Results · Life Glossary · Structure LG-S14-ecosystem Canonical Lean · planned

Ecosystem

An ecosystem is a multi-scale Poincaré-circulation Life Basin: a τ-categorical Life Basin spanning multiple organism populations whose source / closure / consumer-mixer / persistence sub-loops compose into a stable cyclic flow. It is the smallest super-organism object stable under inter-sector exchange.

Life Glossary Primary: VI.T24 life basin poincare circulation super organism inter sector

τ-Definition

An ecosystem is a multi-scale Poincaré-circulation Life Basin: a τ-categorical Life Basin spanning multiple organism populations whose source / closure / consumer-mixer / persistence sub-loops compose into a stable cyclic flow. It is the smallest super-organism object stable under inter-sector exchange.

Categorical invariant. Multi-scale Life Basin instantiating Poincaré-circulation among the four life sub-sectors; super-organismic τ-categorical Life Loop.

Primary registry anchor: VI.T24

Supporting items: VI.D62, VI.R22, VI.D44, VI.R18

τ-Derivation Chain

  1. I.K0 — Universe Postulate
  2. VI.D15 — Life Sector
  3. VI.D44 — Inter-Sector Web — distinct life sub-sectors interlock at ecosystem scale
  4. VI.D62 — Life Basin — ecosystem is a basin spanning multiple populations
  5. VI.T24 — Ecosystem as Multi-Scale Poincaré Circulation — the canonical τ-categorical witness
  6. VI.R22 — Organism/Ecosystem/Basin Taxonomy — ecosystem rung of the carrier ladder

Empirical Correlate

Biomarker: Functionally complementary species pools (producers, consumers, decomposers), nutrient cycles (C, N, P), energy flow (trophic pyramid), shared abiotic envelope (climate, soil, water chemistry), trophic-network connectance.

Measurable range: Net primary productivity 0.1-3 kg C/m²/yr; species richness 10-10⁴ (per km²); trophic levels 2-5 (rarely more); nutrient turnover 1 day (microbial) to 10³ years (carbon in old-growth forest).

Observation method: Long-term ecological research (LTER), eDNA biodiversity surveys, eddy-covariance flux towers, isotope tracing (¹³C, ¹⁵N), remote-sensing primary productivity (MODIS NDVI), food-web reconstruction.

Calibration anchor: LG-Y02-kinetic-pseudoscalar-channel

Anchor chain:

  1. VI.L18 chirality channel (life anchor)
  2. all biomolecules in every species share homochirality
  3. ecosystem-scale chemistry (e.g., D-glucose, L-amino-acid biomass) is uniformly K_χ-anchored

Manuscript reference: manuscript-sources/book-06/part05/ch31-ecosystems.tex

Lean Coverage

Status: Planned

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