K-MOND(以“暗物质“区分惯性质量和引力质量)
K-MOND (with "Dark Matter" as a distinction between Inertial and Gravitational Mass)
摘要:
在这项工作中,我们肯定证明了一种可能性,Milgrom的修改牛顿动力学,MOND,可以一贯地解释为一个理论与修改的动力学条款的通常牛顿动力学,简称为k-MOND。准确地说,我们认为惯性质量和引力质量之间的函数依赖关系在大加速度的极限(牛顿动力学及其相对论推广的特征)下趋于一致,但在小加速度的极限(小于米尔格罗姆的加速度常数)下表现为主要的非一致性。这种函数依赖性意味着在通常的牛顿动力学中动力学项的推广(引力势能项没有任何变化),包括相应的拉格朗日形式主义的推广。这种广义动力学,k-MOND,与米尔格罗姆的MOND相同。此外,提到的惯性质量和引力质量之间的k-MOND区别将被正式视为“暗物质“。
英文摘要:
In this work we definitely prove a possibility that Milgrom's modified Newtonian dynamics, MOND, can be consistently interpreted as a theory with the modified kinetic terms of the usual Newtonain dynamics, simply called k-MOND. Precisely, we suggest only a functional dependence between inertial and gravitational mass tending toward identity in the limit of large accelerations (characteristic for Newtonian dynamics and its relativistic generalizations) but which behaves as a principal non-identity in the limit of small accelerations (smaller than Milgrom's acceleration constant). This functional dependence implies a generalization of the kinetic terms (without any change of the gravitational potential energy terms) in the usual Newtonain dynamics including generalization of corresponding Lagrange formalism. Such generalized dynamics, k-MOND, is identical to Milgrom's MOND. Also, mentioned k-MOND distinction between inertial and gravitational mass would be formally treated as "dark matter".
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