## 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

**Unique-IP document downloads:** 57 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary.
In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution.
Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.*

*
*