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arXiv 1403.2685physics.gen-ph
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作为洛伦兹协变动力学的万有引力

Universal Gravitation as Lorentz-covariant Dynamics

Steven Kenneth Kauffmann

摘要:

这篇论文已经撤回后,作者进一步的工作表明,所提出的理论方法不能拟合行星近日点岁差数据。如前所述,该理论也不适合太阳的引力光偏转,但一个简单的理论变化确实可以弥补这一点;然而,行星近日点进动数据的适当拟合并没有因此获得。作者对爱因斯坦方程的哲学反对可以用一种明显不同的方式来处理--一篇题为“从费曼的洛伦兹条件看爱因斯坦的唯一引力”的新论文已经提交。爱因斯坦的等效原理意味着粒子在“特定的”引力场中的加速度与其质量无关。虽然对于我们在地球引力场中观测到的物体来说,这确实是非常准确的,但一个与地球质量相当的假设物体会明显地导致地球向它坠落,这会反馈到影响该物体的地球引力场的强度作为时间的函数。简而言之,爱因斯坦的等效原理并不精确,而是一种近似,它忽略了“特定”引力场的反冲,这揭示了为什么广义相对论没有明确描述守恒四动量的自然体现。爱因斯坦1905年的相对论当然没有他无意中建立在GR中的精确性,所以很自然地探索直接以电磁学为模式的洛伦兹协变引力理论,其中系统的零发散总应力能量,包括所有引力反馈贡献,是其引力张量势的来源。值得注意的是,仅这一点就完全决定了洛伦兹协变引力与任何局部相互作用经典场的保守系统的相互作用;不需要任何其他类型的“原理”。然而,引力相互作用对这样一个系统的拉格朗日密度的贡献的高度复杂的方程只能通过连续精确的近似来解决。

英文摘要:

This paper has been withdrawn by the author after further work showed the proposed theoretical approach cannot fit planetary perihelion precession data. As presented, the theory doesn't fit gravitational light deflection by the sun either, but a straightforward theoretical change does remedy that; however a proper fit to planetary perihelion precession data is not thus obtained. The author's stated philosophical objections to the Einstein equation can be dealt with in a markedly different way -- a new paper entitled "Unique Einstein Gravity from Feynman's Lorentz Condition" has been submitted. Einstein's equivalence principle implies that the acceleration of a particle in a "specified" gravitational field is independent of its mass. While this is certainly true to great accuracy for bodies we observe in the Earth's gravitational field, a hypothetical body of mass comparable to the Earth's would perceptibly cause the Earth to fall toward it, which would feed back into the strength as a function of time of the Earth's gravitational field affecting that body. In short, Einstein's equivalence principle isn't exact, but is an approximation that ignores recoil of the "specified" gravitational field, which sheds light on why general relativity has no clearly delineated native embodiment of conserved four-momentum. Einstein's 1905 relativity of course doesn't have the inexactitudes he unwittingly built into GR, so it is natural to explore a Lorentz-covariant gravitational theory patterned directly on electromagnetism, wherein a system's zero-divergence overall stress-energy, including all gravitational feedback contributions, is the source of its gravitational tensor potential. Remarkably, that alone completely determines Lorentz-covariant gravity's interaction with any conservative system of locally interacting classical fields; no additional "principles" of any kind are required. The highly intricate equation for the gravitational interaction contribution to such a system's Lagrangian density is only amenable to solution by successively refined approximation, however.

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