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1.
D.H. Delphenich 《Annalen der Physik》2006,15(3):216-246
Some concepts of real and complex projective geometry are applied to the fundamental physical notions that relate to Minkowski space and the Lorentz group. In particular, it is shown that the transition from an infinite speed of propagation for light waves to a finite one entails the replacement of a hyperplane at infinity with a light cone and the replacement of an affine hyperplane – or rest space – with a proper time hyperboloid. The transition from the metric theory of electromagnetism to the pre‐metric theory is discussed in the context of complex projective geometry, and ultimately, it is proposed that the geometrical issues are more general than electromagnetism, namely, they pertain to the transition from point mechanics to wave mechanics. 相似文献
3.
对于超细长弹性杆静力学的Kirchhoff方程,用动力学的概念和方法研究其常值特解 和稳定性问题.计算了Kirchhoff方程相对固定坐标系、截面主轴坐标系以及中心线Frenet 坐标系的常值特解,进行了Kirchhoff动力学比拟,用一次近似理论分别讨论了它们的Lyapu nov稳定性,导出了若干稳定性判据,并在参数平面上绘出了稳定域.
关键词:
超细长弹性杆
Kirchhoff方程
常值特解
Lyapunov稳定性 相似文献
4.
The gedanken experiment of the clock paradox is solved exactly using the general relativistic equations for a static homogeneous gravitational
field. We demonstrate that the general and special relativistic clock paradox solutions are identical and in particular that
they are identical for finite acceleration. Practical expressions are obtained for proper time and coordinate time by using the destination distance as
the key observable parameter. This solution provides a formal demonstration of the identity between the special and general
relativistic clock paradox with finite acceleration and where proper time is assumed to be the same in both formalisms. By
solving the equations of motion for a freely falling clock in a static homogeneous field elapsed times are calculated for
realistic journeys to the stars.
1 Both authors contributed equally to this paper. 相似文献
5.
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7.
G. Longhi 《Foundations of Physics Letters》2006,19(3):201-223
The locality hypothesis is generally considered necessary for the study of the kinematics of non-inertial systems in special
relativity. In this paper we discuss this hypothesis, showing the necessity of an improvement, in order to get a more clear
understanding of the various concepts involved, like coordinate velocity and standard velocity of light. Concrete examples
are shown, where these concepts are discussed. 相似文献
8.
Z. G. Khisamiev 《Algebra and Logic》2007,46(1):50-61
We study into a semilattice of numberings generated by a given fixed numbering via operations of completion and taking least
upper bounds. It is proved that, except for the trivial cases, this semilattice is an infinite distributive lattice every
principal ideal in which is finite. The least upper and the greatest lower bounds in the semilattice are invariant under extensions
in the semilattice of all numberings. Isomorphism types for the semilattices in question are in one-to-one correspondence
with pairs of cardinals the first component of which is equal to the cardinality of a set of non-special elements, and the
second — to the cardinality of a set of special elements, of the initial numbering.
Supported by INTAS grant No. 00-429.
__________
Translated from Algebra i Logika, Vol. 46, No. 1, pp. 83–102, January–February, 2007. 相似文献
9.
本改进了二阶线性微分方程的朗期基解法,只要求出转化以后的一阶微分方程或二阶齐次线性微分方程的一个特解,即可求出二阶线性微分方程的通解。 相似文献
10.
The role played by coordinates in the formulation of an absolute spacetime theory is assessed. It is shown that recent criticism on previous work of ours is wrong. 相似文献