[4] **viXra:0703.0012 [pdf]**
*submitted on 10 Mar 2007*

**Authors:** Carlos Castro

**Comments:** recovered from sciprint.org

We rigorously prove why the proper use ofWeyl's Geometry within the context of
Friedman-Lemaitre-Robertson-Walker cosmological models can account for both the
origins and the value of the observed vacuum energy density ( dark energy )...

**Category:** Relativity and Cosmology

[3] **viXra:0703.0004 [pdf]**
*submitted on 10 Mar 2007*

**Authors:** C. Castro, J. A. Nieto, J.F. Gonzalez

**Comments:** recovered from sciprint.org

It is shown how the exact Nonperturbative Renormalization Group flow of the running
Newtonian coupling G(r) in Quantum Einstein Gravity is consistent with the existence
of an ultra-violet cutoff...

**Category:** Relativity and Cosmology

[2] **viXra:0703.0003 [pdf]**
*submitted on 10 Mar 2007*

**Authors:** A.P.Yefremov

**Comments:** recovered from sciprint.org

In the framework of Quaternion (Q-) Theory of Relativity im-plying invariance of the 6D-space-time vector "interval" the kine-matics of two frames is considered under condition that one frame is inertial and the other is subject to action of harmonic force. Us-ing mathematical tools of Q-relativity the cinematic problem is completely solved from the viewpoint of each frame, i.e. distance, velocity and acceleration are found as functions of observers' time. Majority of cinematic relations are revealed to be represented by exact expressions: elementary functions and series; some relations though are found only approximately. Observed motions are of course not harmonic functions. Clock paradox is discussed.

**Category:** Relativity and Cosmology

[1] **viXra:0703.0001 [pdf]**
*submitted on 10 Mar 2007*

**Authors:** Carlos Castro

**Comments:** recovered from sciprint.org

A class of proper generalizations of the (Anti) de Sitter solutions are presented
that could provide a very plausible resolution of the cosmological constant problem
along with a natural explanation of the ultraviolet/infrared ( UV/IR) entanglement
required to solve this problem. A nonvanishing value of the vacuum energy density
of the order of 10^-121 M^4_Planck is derived in perfect agreement with the experimental
observations. Exact solutions of the cubic equations associated with the location
of the horizons of this class of ( Anti ) de Sitter-Schwarzschild metrics are found.

**Category:** Relativity and Cosmology