Why Euclidean General Relativity is Superior

A common critique of the Euclidean presentation of relativity, that it is “unphysical”, is gravely misplaced. In a Lorentz-invariant framework, global time ordering is not preserved, and no single temporal sequence can claim physical priority. The Euclidean formulation simply makes this fact explicit, rather than allowing it to appear only as a side effect of treating time as an independent parameter. If physics is to describe what is actually happening, a Euclidean formulation becomes the natural framework. Since time-ordering is not preserved under Lorentz invariance, a framework that represents all possible orderings simultaneously is not merely convenient but constitutes the correct physical presentation of the theory. Since experimental tests of general relativity indicate that time ordering is not preserved under Lorentz invariance, we should treat this as a fact of nature rather than pretending time is an independent well-behaved parameter.