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Crothers, S.J. Proof that Einstein’s field equations are invalid: Exposition of the unimodular defect, Physics Essays, Volume 34: Pages 420-428, 2021. Received: July 8, 2021; Accepted: August 14, 2021; Published Online: September 17, 2021

http://www.physicsessays.org/browse-journal-2/product/1896-2-stephen-j-crothers-proof-that-einstein-s-field-equations.html

https://vixra.org/pdf/2206.0082v1.pdf

Abstract:

Albert Einstein first presented his gravitational field equations in unimodular coordinates. In these coordinates, the field equations can be written explicitly in terms of the Einstein pseudotensor for the energy-momentum of the gravitational field. Since this pseudotensor produces, by contraction, a first-order intrinsic differential invariant, it violates the rules of pure mathematics. This is sufficient to prove that Einstein's unimodular field equations are invalid. Since the unimodular form must hold in the General Theory of Relativity, it follows that the latter is also unsound, lacking a proper mathematical foundation.

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Crothers, S.J., Special Relativity and the Lorentz Sphere, Physics Essays, V.33, No.1, p.15,

2020, http://vixra.org/pdf/1911.0013v2.pdf

ABSTRACT. The Special Theory of Relativity demands, by Einstein’s two postulates (i) the Principle of Relativity and (ii) the constancy of the speed of light in vacuum, that a spherical wave of light in one inertial system transforms, via the Lorentz Transformation, into a spherical wave of light (the Lorentz sphere) in another inertial system when the systems are in constant relative rectilinear motion. However, the Lorentz Transformation in fact transforms a spherical wave of light into a translated ellipsoidal wave of light even though the speed of light in vacuum is invariant. The Special Theory of Relativity is logically inconsistent and therefore invalid.

https://physicsessays.org/browse-journal-2/product/1771-4-stephen-j-crothers-special-relativity-and-the-lorentz-sphere.html

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