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• W2806508514 abstract "Born’s reciprocal relativity theory (BRRT), based on a maximal proper-force, maximal speed of light, and inertial and non-inertial observers, is re-examined in full detail. Relativity of locality and chronology are natural consequences of this theory, even in flat phase space. The advantage of BRRT is that Lorentz invariance is preserved and there is no need to introduce Hopf algebraic deformations of the Poincaré algebra, de Sitter algebra, nor non-commutative space–times. After a detailed study of the notion of generalized force, momentum, and mass in phase space, we explain that what one may interpret as “dark matter” in galaxies, for example, is just an effect of observing ordinary galactic matter in different accelerating frames of reference than ours. Explicit calculations are provided that explain these novel relativistic effects due to the accelerated expansion of the Universe, and which may generate the present-day density parameter value Ω DM ∼ 0.25 of dark matter. The physical origins behind the numerical coincidences in black hole cosmology are also explored. We finalize with a rigorous study of the curved geometry of (co)tangent bundles (phase space) within the formalism of Finsler geometry, and provide a short discussion on Hamilton spaces." @default.
• W2806508514 created "2018-06-13" @default.
• W2806508514 creator A5019900250 @default.
• W2806508514 date "2019-02-01" @default.
• W2806508514 modified "2023-10-17" @default.
• W2806508514 title "Is dark matter and black hole cosmology an effect of Born’s reciprocal relativity theory?" @default.
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• W2806508514 doi "https://doi.org/10.1139/cjp-2018-0097" @default.
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