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  1. The Mathematical Structure of Newtonian Spacetime: Classical Dynamics and Gravitation. [REVIEW]Waldyr A. Rodrigues, Quintino A. G. de Souza & Yuri Bozhkov - 1995 - Foundations of Physics 25 (6):871-924.
    We give a precise and modern mathematical characterization of the Newtonian spacetime structure (ℕ). Our formulation clarifies the concepts of absolute space, Newton's relative spaces, and absolute time. The concept of reference frames (which are “timelike” vector fields on ℕ) plays a fundamental role in our approach, and the classification of all possible reference frames on ℕ is investigated in detail. We succeed in identifying a Lorentzian structure on ℕ and we study the classical electrodynamics of Maxwell and Lorentz relative (...)
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  • On the Existence of Undistorted Progressive Waves (UPWs) of Arbitrary Speeds 0≤ Θ≪∞ in Nature.Waldyr A. Rodrigues & Jian-Yu Lu - 1997 - Foundations of Physics 27 (3):435-508.
    We present the theory, the experimental evidence and fundamental physical consequences concerning the existence of families of undistorted progressive waves (UPWs) of arbitrary speeds 0≤ϑ<∞, which are solutions of the homogeneuous wave equation, the Maxwell equations, and Dirac, Weyl, and Klein-Gordon equations.
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