  The electric resistivity is examined in the constrained Hilbert space of a
doped Mott insulator, which is dictated by a non-Ioffe-Larkin composition rule
due to the underlying mutual Chern-Simons topological gauge structure. In the
low-temperature pseudogap phase, where holons remain condensed while spinons
proliferate, the charge transport is governed by a chiral spinon excitation,
comprising a bosonic spin-$1/2$ at the core of a supercurrent vortex. It leads
to a vanishing resistivity with the "confinement" of the spinons in the
superconducting phase but a low-$T$ divergence of the resistivity once the
spinon confinement is disrupted by external magnetic fields. In the latter, the
chiral spinons will generate a Hall number $n_H =$ doping concentration
$\delta$ and a Nernst effect to signal an underlying long-range entanglement
between the charge and spin degrees of freedom. Their presence is further
reflected in thermodynamic quantities such as specific heat and spin
susceptibility. Finally, in the high-temperature spin-disordered phase, it is
shown that the holons exhibit a linear-$T$ resistivity by scattering with the
spinons acting as free local moments, which generate randomized gauge fluxes as
perceived by the charge degree of freedom.
