  We report simultaneously acquired local and nonlocal transport spectroscopy
in a phase-biased planar Josephson junction based on an epitaxial InAs/Al
hybrid two-dimensional heterostructure. Quantum point contacts at the junction
ends allow measurement of the 2 x 2 matrix of local and nonlocal tunneling
conductances as a function of magnetic field along the junction, phase
difference across the junction, and carrier density. A closing and reopening of
a gap was observed in both the local and nonlocal tunneling spectra as a
function of magnetic field. For particular tunings of junction density, gap
reopenings were accompanied by zero-bias conductance peaks (ZBCPs) in local
conductances. End-to-end correlation of gap reopening was strong, while
correlation of local ZBCPs was weak. A simple, disorder-free model of the
device shows comparable conductance matrix behavior associated with a
topological phase transition. Phase dependence helps distinguish possible
origins of the ZBCPs.
