In his later more comprehensive work called the Theory of General Relativity (1916), Einstein proposed a major re-thinking of cosmology. He conceived of a space time continuum that is curved by mass; in other words, planets, stars, galaxies and other stellar objects cause a curvature of space time. The movement of these objects are determined by the aforementioned curvature.
As a result of these ideas, our understanding of geometry, math, physics, science and the universe would never be the same. However, some scientists are reporting that speed of light is not constant from different experimental observations. One has even reported errors in the fundamental equations. If so, this would require a major rethinking of the known cosmological models and assumptions of modern physics.
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