On the Positivity of Matter Energy

Details On the Positivity of Matter Energy On the Positivity of Matter Energy

Jan 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008acppb..39...35p&link_type=abstract

Acta Physica Polonica B, vol. 39, Issue 1, p.35

Mathematics

Logic

Scientific paper

The positivity of the matter-energy density in the Universe, defined from the energy-momentum tensor as rho equiv T00 -- one of the initial assumptions in the positive-energy conjecture of Arnowitt et al. -- is related to the Lorentzian signature of space-time, assumed to be spatially flat, via the Friedmann equation, by applying the Faddeev (Newton-Wigner) propagator K for the cosmological SchrxF6dinger equation in the semi-classical approximation, the corresponding Euclidean propagator, which allows negative rho , decaying on the Planck time-scale. A corollary of this result is that the masses of all elementary particles, and hence of all astrophysical bodies and black holes, are positive semi-definite.

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