9,879 research outputs found
Motion of a symmetric rigid body under the action of a body-fixed force
Approximative method for predicting motion of symmetric rigid body subjected to body-fixed forc
Differential Entropy on Statistical Spaces
We show that the previously introduced concept of distance on statistical
spaces leads to a straightforward definition of differential entropy on these
statistical spaces. These spaces are characterized by the fact that their
points can only be localized within a certain volume and exhibit thus a feature
of fuzziness. This implies that Riemann integrability of relevant integrals is
no longer secured. Some discussion on the specialization of this formalism to
quantum states concludes the paper.Comment: 4 pages, to appear in the proceedings of the joint meeting of the 2nd
International Conference on Cybernetics and Information Technologies, Systems
and Applications (CITSA 2005) and the 11th International Conference on
Information Systems Analysis and Synthesis (ISAS 2005), to be held in
Orlando, USA, on July 14-17, 200
Electroweak symmetry breaking by extra dimensions
Electroweak symmetry breaking may be naturally induced by the observed quark
and gauge fields in extra dimensions without a fundamental Higgs field. We show
that a composite Higgs doublet can arise as a bound state of and a
linear combination of the Kaluza-Klein states of , due to QCD in extra
dimensions. The top quark mass depends on the number of active
Kaluza-Klein modes, and is consistent with the experimental value.Comment: 4 pages, LaTeX, talk presented at PASCOS99, Lake Tahoe, Californi
Toward a Background Independent Quantum Theory of Gravity
Any canonical quantum theory can be understood to arise from the
compatibility of the statistical geometry of distinguishable observations with
the canonical Poisson structure of Hamiltonian dynamics. This geometric
perspective offers a novel, background independent non-perturbative formulation
of quantum gravity. We invoke a quantum version of the equivalence principle,
which requires both the statistical and symplectic geometries of canonical
quantum theory to be fully dynamical quantities. Our approach sheds new light
on such basic issues of quantum gravity as the nature of observables, the
problem of time, and the physics of the vacuum. In particular, the observed
numerical smallness of the cosmological constant can be rationalized in this
approach.Comment: Awarded Honorable Mention, 2004 Gravity Research Foundation Essay
Competition; 8 pages, LaTe
Coherent chemical kinetics as quantum walks II: Radical-pair reactions in Arabidopsis thaliana
We apply the quantum-walk approach recently proposed in
arXiv:quant-ph-1506.04213 to a radical-pair reaction where realistic estimates
for the intermediate transition rates are available. The well-known average
hitting time from quantum walks can be adopted as a measure of how quickly the
reaction occurs and we calculate this for varying degrees of dephasing in the
radical pair. The time for the radical pair to react to a product is found to
be independent of the amount of dephasing introduced, even in the limit of no
dephasing where the transient population dynamics exhibit strong coherent
oscillations. This can be seen to arise from the existence of a rate-limiting
step in the reaction and we argue that in such examples, a purely classical
model based on rate equations can be used for estimating the timescale of the
reaction but not necessarily its population dynamics
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