具有张量内部张力的非局部能量的度量笛卡尔力学修正了Navier-Stokes动力学
Metric Cartesian mechanics of nonlocal energies with tensor internal tensions modifies Navier-Stokes dynamics
摘要：
通过扩展力学荷的度规形式，我们引入了连续惯性密度的规范不变矢量动力学。Ricci标量密度与非定域物质外延的惯性质量和引力质量密度的不变和有关。这样一个引力惯性密度的笛卡尔连续统，在扩展质量的惯性密度和引力密度等价的情况下，由内部张量张力朝着与欧几里得物质3-空间的静力平衡状态自治。外力和局部摩擦将基本封闭连续体的自动力学转变为仍然自适应能量流的受迫运动，其中高阶时空导数可以提供非牛顿自加速度。如果这样的张量惯性反馈与Cavendish 1/G的倒数常数是合理的测量修正的纳维-斯托克斯方程，牛顿空的空间模型应取代笛卡尔物质扩展的非局部宏观世界。
英文摘要：
We introduce the gauge-invariant vector dynamics of continuous inertial densities through the metric formalism for extended mechanical charges. Ricci scalar density is related to invariant sum of inertial and gravitational mass densities of nonlocal matter-extension. Such a Cartesian continuum of gravitating inertial densities is self-governed by internal tensor tensions toward a static equilibrium state with a Euclidean material 3-space under the equivalence of inertial and gravitational densities of extended masses. External forces and local frictions transform the self-dynamics of an elementary closed continuum into a forced motion of still adaptive energy flows, where high-order space-time derivatives can provide non-Newtonian self-accelerations. If such tensor inertial feedback with the inverse constant of Cavendish 1/G is justified by measurements for the modified Navier-Stokes equation, the Newton empty space model should be replaced by the Cartesian matter-extension for the non-local macroscopic world.
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