Published March 24, 2026 | Version v1

A Universal Friction Law Unifies Bearing Tribology, Blood Rheology, and Tectonic Fault Mechanics

Authors/Creators

Description

We identify a universal functional form governing friction and viscosity transitions across three
physically distinct systems spanning 15 orders of magnitude in velocity. In each case, the critical regime transition — the
friction minimum in bearings, the Newtonian plateau in blood, and the seismogenic zone boundary
on faults — corresponds to the zero-crossing of the continuously varying exponent α + β log x. This
single mathematical structure replaces piecewise regime models that have been standard in their
respective fields for decades. The varying exponent arises naturally from the competition between
two power-law rate processes whose relative dominance shifts logarithmically with the state variable.

Files

universal-friction-law.pdf

Files (830.6 kB)

Name Size Download all
md5:39d5815328c74d23c1203c616c2ec9a9
830.6 kB Preview Download