Introduction:

The author had hoped the MAP satellite could be placed in a total eclipse position at L2 and the CBR checked for the influence of the suns gravity to further confirm the results of the mathematical experiment which follows.

Today the author received a note from the director of the MAP project, informing him that it will not be possible to check for an anomaly of this kind using the MAP satellite. The author has posted the full contents of his exchange with the MAP director at the conclusion of this post. Perhaps other techniques or equipment can be used however, in the future.

Nevertheless, the following mathematical experiment alone is impressive, because it clearly shows the potential of the model on this site to explain the anomalous acceleration of the Pioneer 10 and 11 spacecraft.

An updated abstract dated 2/5/02 is reproduced first for your convenience. Scroll down for the description of the experiment, the math, the results a few comments by the author and the contents of the authors exchange with the MAP director.

Best Wishes, Sam Cox

General Relativity and Quantum Cosmology, abstract gr-qc/0104064

From: "Slava G. Turyshev"

Date (v1): Thu, 19 Apr 2001 22:42:49 GMT (834kb)

Date (revised v2): Tues, 15 May 2001 20:55:26 GMT (835kb)

Date (revised v3): Tues, 5 Feb 2002 21:05:21 GMT (851kb)

Study of the anomalous acceleration of Pioneer 10 and 11

Authors:

John D. Anderson, Philip A. Laing, Eunice L. Lau, Anthony S. Liu, Michael Martin Nieto, Slava G. Turyshev

Comments:

RevTeX, 54 pages, 18 figures, and 3 tables. Additions and modifications for PRD publication

Report-no: LA-UR-00-5654

Sub-class:

General Relativity and Quantum Cosmology; Space Physics

Our previous analyses of radio Doppler and ranging data from distant spacecraft in the solar system indicated that an apparent anomalous acceleration is acting on Pioneer 10 and 11, with a magnitude $a_P\sim 8\times 10^{-8}$ cm/s$^2$, directed towards the Sun (anderson,moriond).

Much effort has been expended looking for possible systematic origins of the residuals, but none has been found. A detailed investigation of effects both external to and internal to the spacecraft, as well as those due to modeling and computational techniques, is provided. We also discuss the methods, theoretical models, and experimental techniques used to detect and study small forces acting on interplanetary spacecraft. These include the methods of radio Doppler data collection, data editing, and data reduction.

There is now further data for the Pioneer 10 orbit determination. The extended Pioneer 10 data set spans 3 January 1987 to 22 July 1998. [For Pioneer 11 the shorter span goes from 5 January 1987 to the time of loss of coherent data on 1 October 1990.]

With these data sets and more detailed studies of all the systematics, we now give a result, of $a_P = (8.74 \PM 1.33) \times 10^{-8} \{\rm cm/s}^2$. (Annual /diurnal variations on top of $a_P$, that leave $a_P$ unchanged, are also reported and discussed.)

Paper: PostScript, PDF, or Other formats

(N.B.: delivery types and potential problems) refers to , cited by Top of Form 1

Hi David:

In the two/ sphere concept, gravity is a Planck Realm phenomenon caused by a micro singular matrix at the lowest levels of scale in the cosmos.The "CBR" is the 2.73 Degree K photonic "other side" of this phenomenon as observed from our frame.

I'm looking for a "gravitational" force equal to about 10 to the minus 8th of the gravitational attraction of the Sun at a distance of 10 billion kilometers.

Lets start with a sphere of space with a radius of 10 billion Km. Since the tide of singular gravitation rises close to massive bodies, lets assume we will need an average of say 10 to the minus 36th....closer to 10 to the minus 33rd near the sun and 10 to the minus 40th in intergalactic space....

OK, what is the gravitatational attraction of a black hole with an event horizon radius 10 to the minus 36th the volume of a sphere of "space" with a radius of 10 Billion Km?....at a distance of 10 Billion Km? Is it 10 to the minus 8th that of the parent body?..(the sun)

We are going to be off, for singularity in space pulls from every direction, and as a spacecraft departs the solar system, the influence of the suns "gathering effect" diminishes...however, even at 10 billion Km. The sun is still the dominant influence....

Thanks Again,

Sam Cox

Response from David, Monday, 2/18/02

"OK, what is the gravitational attraction of a black hole with an event horizon radius 10 to the minus 36th the volume of a sphere of "space" with a radius of 10 Billion Km?....at a distance of 10 Billion Km? Is it 10 to the minus 8th that of the parent body?.. (the sun)"

g ~ -GM/r2

GM = r0c2/2

Therefore:

g = -(1/2)(r0c2/r2)

V0/Vs = (r0/rs) 3 = 10-36

rs = 1013

r = 1013m

r0 = rs

so:

g = -(1/2)(V0/Vs)1/3 (c2/r)

g = -(1/2)(10-36)1/3 [(3x108)2/1013]m/s2

g = -4.5x10-10m/s2

AUTHORS COMMENTS

First note the difference in units used by Dr. Anderson (Centimeters) and David (Meters). Upon appropriate conversion, Davids work, based on the average figures I gave him, works out to -4.5x10-8Cm/sec2. The minus sign indicates a deceleration...a force acting toward the Sun.

This is astounding! Without complex computers, and working on a remote island with only averages, coming up with such a number is the equivalent of hitting the ball over the center field fence at Yankee Stadium!

We need a force about 4 times stronger, however I wanted to be on the low side in my estimate. All scientists know the Planck length: 10 to the -33rd Cm. I avoided using that figure, instead selecting 10 to the -36th Cm...a thousand times smaller volume. My reason is that departiculation/singularization only begins at 10 to the -33rd Cm... but is complete in the area around 10 to the -36th. Particle physicists could give us a much more exact figure to work with.

Also, cosmologically the Sun is "a small potato",.. with a diameter of 860,000 miles. Yet it is a vast, dense, particulate body with almost 20% of the mass necessary to establish the singular condition from our frame. The atomic framework of the Sun is laden with singularity (measurements go from the Suns center, although of course the mass of the Sun itself is excluded from these calculations).

The Suns' surrounding space out to 100 million miles is profoundly influenced, so I expected to be "on the low side" with the figures I gave David. A properly programmed computer and better Planck dimensions should be able to give more accurate results.

I have forwarded these findings to appropriate people in both the United States and in the UK. Taken with the other simple experiments documented on this site, it can be seen that combining Schwarzschild two/ sphere geometry, the Planck singular realm and General Relativity conceptually matches the universe within the limits of present observation.A universal mass of 10 to the 60th Kg and a radius of 10 to the 40th Cm are implied.

What an exciting journey of exploration science is! The author is reminded of the comment of Einstein when he referred to the vast mass of experimental confirmation and verification of his theory of relativity as..."the details".

CONTENTS OF THE AUTHORS EXCHANGE WITH DR. CHARLES L. BENNETT; MAP PROJECT

At 01:23 PM 3/21/2002 +1100, you wrote:

Hi Chuck:

http://www.fm/7-sphere

Best Wishes,

Samuel A. (Sam) Cox Assistant Professor College of Micronesia Palikir, Pohnpei FSM sacox@comfsm.fm acox@mail.fm

----- Original Message ----- From: Charles L. Bennett To: Sam Cox Sent: Friday, March 22, 2002 3:49 AM Subject: Re: Is the CBR affected by the mass of the sun?

Sam,

There is no umbra at L2. The best one could do is a 85% eclipse. In any case, this is not possible for MAP. MAP receives it's power from the Sun via solar panels. Also, MAP depends on the solar heating to maintain its systems within their operational temperature ranges. Without the sunlight and heat the MAP observatory would fail.

Chuck

Hi Chuck:

Thanks for the information! It really is too bad we can't do that. So near yet so far! With your permission, I'll post your response and clarify this. Maybe this type of experiment could be conducted using other types of equipment, or has already been done- with negative results. If you know of any attempts or work of this kind, I would appreciate information.

Since the CBR is the remnant of an event which from our frame occurred 15by ago, if the CBR IS affected by the mass of the sun, it would be scientifically worthwhile to carefully evaluate the results. Your rapid response is appreciated, and you all have my best wishes in your work. I assume we will have some data to look at in a year or so. This is a most exciting project.

Sam Cox

NOTES: In spite of coronal interference, the author feels a detailed study of the CBR around an eclipsed Sun could be scientifically useful, especially a study of the FUNCTION with which the "temperature" of space increases with increasing proximity to the Sun. Any such study should begin with a a scan of an angular section of the sky (as small as possible) directly opposite the sun, and continue around the sky in the direction of the eclipsed sun until the actual eclipsed Sun is approached. The section of the study closest to the Sun might have to be disregarded because of coronal interference and fluctuations, however a simple graph of the temperature plots should show a function similar to a part of the time dilation curve in GR...(END OF EXCHANGE)