Decide between ‘broken’ and ‘unbroken’ Dirac labellings for gravitational contexts

Establish which labelling of Dirac matrices—the standard chiral ‘broken’ spin-symmetry convention or the symmetric ‘unbroken’ convention—better describes observed physics in gravitational fields when coupled to the Gell-Mann and Pauli matrices within the quaternionic Dirac-spinor framework.

Background

The model permits two distinct labellings of Dirac matrices with differing symmetry properties: a standard chiral (‘broken’) labelling and a symmetric (‘unbroken’) labelling preserving spatial rotation invariance.

The author indicates that empirical comparison in gravitational settings is required to determine which labelling yields a superior description.