Modernized Newtonian Cosmology in Secondary Schools

Mathematics – Logic

Scientific paper

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Scientific paper

Modern cosmology is founded on general relativity. Therefore, it lies outside the syllabus of classical physics and mathematics in most secondary schools. Nevertheless, it is desirable to introduce its concepts, methods and results to interested students. This is possible by assuming modified principles of homogeneity and isotropy and applying Newtonian dynamics with an extra repulsive force including Einstein's cosmological constant. With suitable simplifications and approximations several cosmological models can be derived with basic calculus from the Friedmann-Lemaitre equation, e.g. today's accelerating universe. The derivation is supplemented by examples of hypothetical universes to illustrate the theory.

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