Object Invocation Protocol · protocol specification
Invariant 3.6 — 3.6 Scale invariance / fractals / allometry
3.6 Scale invariance / fractals / allometry
The same rule at every zoom. Sources: Mandelbrot; renormalization; Kleiber's law; West, Brown & Enquist (metabolic scaling). Domains: coastlines, vasculature, cities, organisms, cosmic web. Dual: characteristic-scale systems. Tier: T1. Falsifier: a branching transport network that violates the scaling exponent. Maps: A₇.
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Corpus map
- Same invariant, other planes: Catalogue node C10 · Encyclopedia C10
- Inventory hub: Convergence Catalogue — Public Article
Key evidence
human
Scale invariance is the property that the same rule applies at every zoom level.
human
Domains exhibiting scale invariance include coastlines, vasculature, cities, organisms, and the cosmic web.
mechanistic
The dual of scale-invariant systems is characteristic-scale systems.
mechanistic
A falsifier for the invariant is a branching transport network that violates the scaling exponent.
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