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The Dynamic Origin of Kleiber's Law

physics.bio-ph · 2026-04-12 · unverdicted · novelty 7.0

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.

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  • The Dynamic Origin of Kleiber's Law physics.bio-ph · 2026-04-12 · unverdicted · none · ref 29

    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.

  • Input-schema identifiability limits in physics-informed surrogates for mechanics-governed flow physics.comp-ph · 2026-06-08 · unverdicted · none · ref 26

    The authors develop an input-schema identifiability certificate for physics-informed surrogates that decomposes lumen velocity in tubular flow into mesh-measurable tangent direction, boundary-condition-dependent magnitude, and signed-orientation ambiguity using a Cosserat-rod reduction.