5,767 research outputs found
Functions of State for Spinor Gas in General Relativity
The energy momentum tensor of perfect fluid is a simplified but successful
model in astrophysics. In this paper, assuming the particles driven by gravity
and moving along geodesics, we derived the functions of state in detail. The
results show that, these functions have a little correction for the usual
thermodynamics. The new functions naturally satisfy the causal condition and
consist with relativity. For the self potentials of the particles we introduce
an extra function , which acts like negative pressure and can be used to
describe dark matter. The results are helpful to understand the relation and
interaction between space-time and matter.Comment: 13 pages, no figure. arXiv admin note: text overlap with
arXiv:0708.296
Nonlinear Spinors as the Candidate of Dark Matter
In this paper, we discuss the equation of state for nonlinear spinor gases in
the context of cosmology. The mean energy momentum tensor is similar to that of
the prefect fluid, but an additional function of state is introduced to
describe the nonlinear potential. The equation of state in
the early universe is calculated, which provides a natural explanation for the
negative pressure of dark matter and dark energy. may be also the main
origin of the cosmological constant . So the nonlinear spinor gases
may be a candidate for dark matter and dark energy.Comment: 8 pages, no figure
Test of Einstein's Mass-Energy Relation
The Einstein's mass-energy relation is one of the most fundamental
formulae in physics, but it has not been seriously tested by an elaborated
experiment, and only some indirect evidences in nuclear reaction suggested that
it holds to high precision. Manifestly, for a particle, different self
potential leads to different energy-speed relation, which can be used as the
fingerprints of them. In this letter, we propose an experiment to test this
relation. The experiment only involves low energy of particles and measurement
of speed, which can be easily realized. The experiment may shed lights on a
number of fundamental puzzles in physics.Comment: 6 pages, 1 figur
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