f them have been proven to be in disagreement with experiments [9,10]. their invalid acceptance is due to the incorrect belief3) that the equivalence principle were satisfied by any lorentz manifold [11].
moreover, einstein's notion cannot be exact, since it is not localizable [12]. in a field theory, a central problem is the exchange of energy between a particle and the field where the particle is located [13]. therefore, the gravitational energy-stress must be a tensor (see also section 4). 2. the gravitational wave and nonexistence of dynamic solutions for einstein's equation
first, a major problem is a mathematical error on the relationship between (1) and its "linearization". it was incorrectly believed that the linear maxwell-newton approximation [13]
( c(c(( = - k t(m) (( , where (( = ((( - (((((cd(cd) (3a)
and
(((xi, t) = - (t(((yi, (t - r)]d3y, where r2 =(xi - yi)2 . (3b)
always provides the first-order approximation for equation (1). this belief was verified for the static case only.
for a dynamic4) case, however, this is no longer valid. while the cauchy data can be arbitrary for (3a), but not for (1). the cauchy data of (1) must satisfy four constraint equations, g(t = -kt(m)(t (( = x, y, z, t) since g(t contains only first-order time derivatives [8]
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