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.
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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.