Abstract
Cosmology is notorious for its reliance on conviction rather than data and the consequent selective use of observational evidence. The process is aggravated by distortion of the evidence by half-scholars with a limited understanding of information received at second hand. Science operates differently and strives to reduce all observed material to a limited set of fundamentals, using Occam’s razor.
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Notes
- 1.
The Einstein summation convention applies: If an index occurs twice in one term of an expression, it is always to be summed unless the contrary is expressly stated.
- 2.
Any symmetric matrix can be transformed into a form with only 0, 1 and -1 as diagonal elements, said to define the signature of the matrix. The Lorentz transformation in the form \({(cd\tau )}^{2} = {x}_{0}^{2} - {x}_{1}^{2} - {x}_{2}^{2} - {x}_{3}^{2}\) defines the signature (1,-1,-1,-1), known as a hyperbolic metric – not to be confused with hyperbolic geometry.
- 3.
The tangent spaces can be converted into projective spaces by introducing points at infinity, in the usual manner, in each of them. The projective spaces can be studied analytically by means of homogeneous coordinates X 0,X 1,X 2,X 3,X 4 and projective tensors.
- 4.
See Bergmann (1976) p.272.
- 5.
The inverse of a differential operator.
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Boeyens, J.C.A. (2010). Physical Evidence. In: Chemical Cosmology. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3828-9_4
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DOI: https://doi.org/10.1007/978-90-481-3828-9_4
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