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41.
The tension between the Hubble constant values obtained from local measurements and cosmic microwave background (CMB) measurements has motivated us to consider the cosmological model beyond ΛCDM. We investigate the cosmology in the large scale Lorentz violation model with a non-vanishing spatial curvature. The degeneracy among spatial curvature, cosmological constant, and cosmological contortion distribution makes the model viable in describing the known observational data. We obtain some constraints on the spatial curvature by comparing the relationship between measured distance modulus and red-shift with the predicted one, the evolution of matter density over time, and the evolution of effective cosmological constant. The implications of the large scale Lorentz violation model with the non-vanishing spatial curvature under these constrains are discussed. 相似文献
42.
43.
Jerzy Kocik 《Advances in Applied Clifford Algebras》2007,17(1):71-93
We show that the space of Euclid’s parameters for Pythagorean triples is endowed with a natural symplectic structure and that
it emerges as a spinor space of the Clifford algebra R21, whose minimal version may be conceptualized as a 4-dimensional real algebra of “kwaternions.” We observe that this makes
Euclid’s parametrization the earliest appearance of the concept of spinors. We present an analogue of the “magic correspondence”
for the spinor representation of Minkowski space and show how the Hall matrices fit into the scheme. The latter obtain an
interesting and perhaps unexpected geometric meaning as certain symmetries of an Apollonian gasket. An extension to more variables
is proposed and explicit formulae for generating all Pythagorean quadruples, hexads, and decuples are provided. 相似文献
44.
We predict the possibility of observing analogue of the Aharonov-Bohm effect due to long range interaction between spins originating
in the framework of spin gauge theory developed earlier. The effect is predicted for both electrons (fermions) and photons.
Appropriate experimental set-ups are suggested. 相似文献
45.
In this paper, we shall give a necessary and sufficient condition for which the dual of Λ
ω
p
(X, M, μ) (0<p<∞) is zero, and a necessary and sufficient condition for which Λ
ω
p
(X, M, μ), (0<p<1) is normable.
Supported by 973 project (G1999075105), RFDP (20030335019) and ZJNSF(RC97017). 相似文献
46.
T. Kasahara H.S. Park D. Shindo H. Yoshikawa T. Sato K. Kondo 《Journal of magnetism and magnetic materials》2006
Domain wall motion in Mn–Zn and Ni–Zn ferrites with applied magnetic fields is investigated by in situ observations with Lorentz microscopy and electron holography. It is found that both Mn–Zn and Ni–Zn ferrites have a mean grain size of approximately 10 μm and several pores with sizes ranging from 0.2 to 1.1 μm. In situ observations by Lorentz microscopy with an applied magnetic field reveals that in Mn–Zn ferrite, the domain walls move easily across the grain boundary, while in Ni–Zn ferrite, the domain walls move along the grain boundary but are pinned at the grain boundary and pores. From in situ observations of Ni–Zn ferrite by electron holography, it is clarified that domain wall pinning at the grain boundary retards a sensitive increase in magnetic flux parallel to the applied field direction, which is considered to result in high hysteresis loss. 相似文献
47.
48.
R. Jackiw 《International Journal of Theoretical Physics》2006,45(8):1428-1438
When 4-dimensional general relativity is extended by a 3-dimensional gravitational Chern–Simons term an apparent violation of diffeormorphism invariance is extinguished by the dynamical equations of motion for the modified theory. The physical predictions of this recently proposed model show little evidence of symmetry breaking, but require the vanishing of the Pontryagin density. 相似文献
49.
50.
Joan Cerdà 《Journal of Mathematical Analysis and Applications》2005,304(1):269-295
We associate to every function space, and to every entropy function E, a scale of spaces Λp,q(E) similar to the classical Lorentz spaces Lp,q. Necessary and sufficient conditions for they to be normed spaces are proved, their role in real interpolation theory is analyzed, and a number of applications to functional and interpolation properties of several variants of Lorentz spaces and entropy spaces are given. 相似文献