改变质量修正牛顿引力
Changing Mass Corrects Newtonian Gravity
摘要：
牛顿的平方反比万有引力定律假定质量不变。但质量会随着速度的增加而增加，也许还会随着重力的增加而增加。通过SR，质量比静止质量增加γ。这里假定静止质量在重力作用下增加，增加量为1/alpha =1+GM/rc ^2。我们将研究在平坦时空中将这种变化的质量引入牛顿定律的后果。相对于远离重力影响的观察者，这个可变质量会影响度量，通过α/γ收缩长度和时间（如测量的）。在轨道计算中，引力与牛顿定律的差别是（γ/α）^[3]，并且不是完全的平方反比。在没有可调参数的情况下，这完全解释了经典的GR检验。假设的“第五种力”出现在10^-9 g水平。受引力影响的空间仍然是欧几里得空间，但质量度量的变化使它在测量时看起来是弯曲的。
英文摘要：
Newton's inverse-square law of universal gravitation assumes constant mass. But mass increases with speed and perhaps with gravity. By SR, mass is increased over the rest mass by gamma. Rest mass is here postulated to increase under gravity, by 1/alpha =1+GM/rc^2. We examine the consequences of introducing this changing mass into Newton's law in flat spacetime. This variable mass affects the metric, relative to an observer away from the influence of gravity, contracting both lengths and times (as measured) by alpha/gamma. The gravitational force, as in orbital calculations, differs from Newton's law by the factor (gamma/alpha)^3, and is not quite inverse square. Without adjustable parameters, this accounts fully for the classical tests of GR. The postulated "fifth force" appears at the 10^-9 g level. Gravitationally-influenced space remains Euclidean, but the mass-metric changes make it seem curved when measured.
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