arXiv subjects
Publications and source records attributed to R. E. Allen.
We emphasize that there is no spin-statistics connection in nonrelativistic quantum mechanics. In several recent papers, including Phys. Rev. A 67, 042102 (2003) [quant-ph/0207017], quantum mechanics is modified so as to force a spin-statistics connection, but the resulting theory is quite different from standard physics.
It is commonly believed that the vacuum energy problem points to the need for (1) a radically new formulation of gravitational physics and (2) a new principle which forces the vacuum stress-energy tensor (as measured by gravity) to be nearly zero. Here we point out that a new fundamental theory contains both features: (1) In this theory the vierbein is interpreted as the "superfluid velocity" associated with the order parameter for a GUT-scale Higgs condensate. (2) The vacuum stress-energy tensor is exactly zero in the vacuum state, because the action is extremalized with respect to variations in the order parameter. With inhomogeneously-distributed matter present, the vacuum stress-energy tensor is shifted away from zero.
A new theory yields unconventional results for the angular distribution of products like $b-\bar{b}$ jets in Higgs decays.
A new cosmological model makes the following predictions: (1) The deceleration parameter $q_{0}$ is approximately zero. (2) The mass density parameter $Ω_{m}$ is less than 1. (3) The universe is spatially closed, but is asymptotically flat as $t\to\infty$, regardless of its matter content. (4) The age of the universe is approximately 15 Gyr if the Hubble parameter $h$ is approximately 0.65.
A new cosmological model implies that dR/dt is constant for both t > t_c and t goes to 0, and that dR^2/dt is proportional to n_s^-1 for t_c > t > 0. Here R(t) is the cosmic scale factor, t_c is a crossover time defined in the text, and n_s is approximately constant near t_c. The behavior at intermediate times is consistent with big-bang nucleosynthesis. The behavior at short and long times offers a solution to the smoothness, monopole, and flatness problems. In addition, the long-time behavior yields a comfortably large age for the universe and predicts that the deceleration parameter q_0 is exactly zero.
In a new theory, local Lorentz invariance is a low-energy symmetry which no longer holds when a fermion energy E is well above 1 TeV. Here we find that the modified E(p) relation is consistent with observation, and is in fact nearly the same as in Einstein relativity. On the other hand, there is a strong modification of the fermion equation of motion and propagator at ultrahigh energy, which should lead to observable effects.
A new cosmological model leads to testable predictions that are different from those of both standard cosmology and models with a cosmological constant. The prediction that q_0=0 is the same as in other ``coasting universe'' models, but arises without the need for any exotic form of matter or other ad hoc assumptions.