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We revisit the quantum lattice gas model of a spinor quantum field theory-thesmallest scale particle dynamics is partitioned into unitary collide and streamoperations. The construction is covariant (on all scales down to a small length{\ell} and small time {\tau} = c {\ell}) with respect to Lorentztransformations. The mass m and momentum p of the modeled Dirac particle dependon {\ell} according to newfound relations m = mo cos (2{\pi}{\ell}/{\lambda})and p = (h/2{\pi}{\ell}) sin(2{\pi}{\ell}/{\lambda}), respectively, where{\lambda} is the Compton wavelength of the modeled particle. These relationsrepresent departures from a relativistically invariant mass and the de Broglierelation-when taken as quantifying numerical errors the model is physicallyaccurate when {\ell} {\ll} {\lambda}. Calculating the vacuum energy in thespecial case of a massless spinor field, we find that it vanishes (or can havea small positive value) for a sufficiently large wave number cutoff. This is amarked departure from the usual behavior of such a massless field.

Highly covariant quantum lattice gas model of the Dirac equation