Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-06-03
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
5 pages, 2 figures; 66 ABW review on 01 Dec 2010: Ref. No. RVB10.015-198, Case No. 66ABW-2010-1430
Scientific paper
We revisit the quantum lattice gas model of a spinor quantum field theory-the smallest scale particle dynamics is partitioned into unitary collide and stream operations. The construction is covariant (on all scales down to a small length {\ell} and small time {\tau} = c {\ell}) with respect to Lorentz transformations. The mass m and momentum p of the modeled Dirac particle depend on {\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 relations represent departures from a relativistically invariant mass and the de Broglie relation-when taken as quantifying numerical errors the model is physically accurate when {\ell} {\ll} {\lambda}. Calculating the vacuum energy in the special case of a massless spinor field, we find that it vanishes (or can have a small positive value) for a sufficiently large wave number cutoff. This is a marked departure from the usual behavior of such a massless field.
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