  The mechanism of charge carrier interaction in twisted bilayer graphene (TBG)
remains an unresolved problem, where some researchers proposed the dominance of
the electron-phonon interaction, while the others showed evidence for
electron-electron or electron-magnon interactions. Here we propose to resolve
this problem by generalizing the Bloch-Gr\"uneisen equation and using it for
the analysis of the temperature dependent resistivity in TBG. It is a
well-established theoretical result that the Bloch-Gr\"uneisen equation
power-law exponent, n, exhibits exact integer values for certain mechanisms.
For instance, n=5 implies the electron-phonon interaction, n=3 is associated
with electron-magnon interaction and n=2 applies to the electron-electron
interaction. Here we interpret the linear temperature-dependent resistance,
widely observed in TBG, as n$\rightarrow$1, which implies the quasielastic
charge interaction with acoustic phonons. Thus, we fitted TBG resistance curves
to the Bloch-Gr\"uneisen equation, where we propose that n is a free-fitting
parameter. We found that TBGs have a smoothly varied n-value (ranging from 1.4
to 4.4) depending on the Moir\'e superlattice constant, $\lambda$, or the
charge carrier concentration. This implies that different mechanisms smoothly
transition from one to another. The proposed generalized Bloch-Gr\"uneisen
equation is applicable to a wide range of problems, including the Earth
geology.
