## Is Dark Matter and Black-Hole Cosmology an Effect of Born's Reciprocal Relativity Theory ?

**Authors:** Carlos Castro

Born's Reciprocal Relativity Theory (BRRT) based on a maximal proper-force, maximal speed of light velocity, 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 Poincare algebra, de Sitter algebra, nor noncommutative spacetimes. 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 $ \Omega_{DM} \sim 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.

**Comments:** 29 Pages. Many more references are added related to MOND and f(R) gravity.

**Download:** **PDF**

### Submission history

[v1] 2018-02-05 06:43:03

[v2] 2018-02-08 22:55:15

[v3] 2018-03-16 03:09:03

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