Underlying causes of the 3/4-power metabolic scaling
Determine the physical and biological mechanisms responsible for the empirically observed power-law scaling of metabolic heat dissipation with body mass across ontogeny and between species, including the frequent three-quarter exponent.
References
The scaling of heat dissipation with size, both through ontogeny and between species, is empirically observed to be a power function of body mass where the exponent varies but is frequently near $#1{3}{4}$. Much thought has been invested in the underlying causes of this taxonomically general empirical pattern, but it is regarded as unsolved.
— The untapped power of a general theory of organismal metabolism
(2408.13998 - Jusup et al., 26 Aug 2024) in Section “From metabolic pools to metabolic rate and its scaling”