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...--The papers were originally published by the Querido Verlag in Amsterda. In fairness to Professor Einstein, his American publishers would like to make it clear that although they have his full authorization to translate the German text as published in Holland, and although the documents from which the original publication was made have his authentication, there has been no further collaboration by him....
--A material point, which is acted on by no force, will be represented in four-dimensional space by a straight line, that is to say by a line that is as short as possible or more correctly, an extreme line. This concept presupposes that of the length of a linear element, that is to say, a metric. In the special theory of relativity, as Minkowski had shown, this metric was a quasi-Euclidean one, i.e., the square of the "length" ds of the linear element was a definite quadratic function of the differentials of the co-ordinates. If other co-ordinates arrew introduced by means of a non-linear transformation, ds² remains a homogeneous function of the differentials of the co-ordinates, but the co-efficients of this function (guv) cease to be constant and become certain functions of the co-ordinates. In mathematical terms this means that physical (four-dimensional) space has a Riemannian metric. The time-like extremal lines of this metric furnish the law of motion of a material point which is acted on by no force apart from the forces of gravity.
In a space-like interval, an object can...
First thought that comes to mind with "time-like"........"does that equate with quantum entanglement"? Is that what Schrödinger picked up on?
With ‘time-like’ this was developed by Minkowski in his spacetime maths, but the meaning remained the same as far as i can see, and is now a solid part of GR.
developed by Minkowski?I give a quote by the Big Cheese Himself, Albert Einstein, published, 1934,
What did Einstein mean by "time-like"? The question is asked outside the mathematical realm.