[6] **viXra:1003.0185 [pdf]**
*submitted on 6 Mar 2010*

**Authors:** V. Christianto, Florentin Smarandache

**Comments:** 8 pages

The present note revised the preceding article discussing new
discovery of a new planetoid in the solar system. Some recent
discoveries have been included, and its implications in the
context of quantization of celestial system are discussed, in
particular from the viewpoint of superfluid dynamics. In
effect, it seems that there are reasons to argue in favor of
gravitation-related phenomena from boson condensation.

**Category:** Astrophysics

[5] **viXra:1003.0106 [pdf]**
*submitted on 10 Mar 2010*

**Authors:** Ioannis Iraklis Haranas

**Comments:** 6 pages, Publisher Journal of Theoretics, vol. 4, no. 1, 2001.

Recent observations confirm quantized galactic redshifts and hint a possible new form of
quantum mechanics, which could probably explain these observed properties of the
galaxies. This brief contribution investigates a possible relation between the new cosmic
Planck constant h_{g} and other fundamental constants of physics.

**Category:** Astrophysics

[4] **viXra:1003.0088 [pdf]**
*submitted on 8 Mar 2010*

**Authors:** Ioannis Iraklis Haranas

**Comments:** 5 pages, Publisher Journal of Theoretics, vol. 4, no. 1, 2001.

In a study by F. Calogero [1] entitled "Cosmic origin of quantization" an expression was derived for
the variability of h with time, and its consequences if any, of such an idea in cosmology were examined.
In this paper we will offer a different derivation of the Calogero conjecture based on a postulate
concerning a variable speed of light, [2] in conjuction with Weinberg's relationship for the mass of
an elementary particle.

**Category:** Astrophysics

[3] **viXra:1003.0046 [pdf]**
*submitted on 6 Mar 2010*

**Authors:** V. Christianto, Florentin Smarandache

**Comments:** 3 pages

In the present article we would like to make a few comments on a recent paper
by A. Yefremov in this journal [1]. It is interesting to note here that he concludes his
analysis by pointing out that using full machinery of Quaternion Relativity it is possible
to explain Pioneer XI anomaly with excellent agreement compared with observed data,
and explain around 45% of Pioneer X anomalous acceleration. We argue that perhaps
it will be necessary to consider extension of Lorentz transformation to Finsler-Berwald
metric, as discussed by a number of authors in the past few years. In this regard, it
would be interesting to see if the use of extended Lorentz transformation could also
elucidate the long-lasting problem known as Ehrenfest paradox. Further observation is
of course recommended in order to refute or verify this proposition.

**Category:** Astrophysics

[2] **viXra:1003.0045 [pdf]**
*submitted on 6 Mar 2010*

**Authors:** V. Christianto, Diego L. Rapoport, Florentin Smarandache

**Comments:** 5 pages

In recent years, there are attempts to describe quantization of planetary distance
based on time-independent gravitational Schrödinger equation, including Rubcic &
Rubcic's method and also Nottale's Scale Relativity method. Nonetheless, there is
no solution yet for time-dependent gravitational Schrödinger equation (TDGSE). In
the present paper, a numerical solution of time-dependent gravitational Schrödinger
equation is presented, apparently for the first time. This numerical solution leads
to gravitational Bohr-radius, as expected. In the subsequent section, we also discuss
plausible extension of this gravitational Schrödinger equation to include the effect
of phion condensate via Gross-Pitaevskii equation, as described recently by Moffat.
Alternatively one can consider this condensate from the viewpoint of Bogoliubov-deGennes
theory, which can be approximated with coupled time-independent
gravitational Schrödinger equation. Further observation is of course recommended
in order to refute or verify this proposition.

**Category:** Astrophysics

[1] **viXra:1003.0044 [pdf]**
*submitted on 6 Mar 2010*

**Authors:** Florentin Smarandache, V. Christianto

**Comments:** 4 pages

There have been various explanations of Pioneer blueshift anomaly in the past few
years; nonetheless no explanation has been offered from the viewpoint of Q-relativity
physics. In the present paper it is argued that Pioneer anomalous blueshift may
be caused by Pioneer spacecraft experiencing angular shift induced by similar Qrelativity
effect which may also affect Jupiter satellites. By taking into consideration
"aether drift" effect, the proposed method as described herein could explain Pioneer
blueshift anomaly within ~ 0.26% error range, which speaks for itself. Another new
proposition of redshift quantization is also proposed from gravitational Bohr-radius
which is consistent with Bohr-Sommerfeld quantization. Further observation is of
course recommended in order to refute or verify this proposition.

**Category:** Astrophysics