The branching exponent α* ≈ 2.72 in biological vascular networks is a mathematical necessity due to the incommensurability of optimization constraints, established by no-go, gauge invariance, and architectural invariance theorems.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
physics.bio-ph 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Kleiber's law is a signature of dynamic wave-impedance matching yielding the exponent β = dα/(2d+α), with 3/4 enforced in 3D and a parameter-free prediction for the wave-to-viscous transition at small body masses.
citing papers explorer
-
The Incommensurability Principle in Biological Transport
The branching exponent α* ≈ 2.72 in biological vascular networks is a mathematical necessity due to the incommensurability of optimization constraints, established by no-go, gauge invariance, and architectural invariance theorems.
-
The Dynamic Origin of Kleiber's Law
Kleiber's law is a signature of dynamic wave-impedance matching yielding the exponent β = dα/(2d+α), with 3/4 enforced in 3D and a parameter-free prediction for the wave-to-viscous transition at small body masses.