# Creationist cosmologies explain the anomalous acceleration of Pioneer spacecraft

[**Note**: This page only shows the abstract plus parts of the introduction and conclusion of the paper. The full paper may be downloaded as a PDF.]

A broad class of creationist cosmologies offer an explanation for the ‘Pioneer effect’, an apparent small Sunward anomalous acceleration of the Pioneer 10 and 11 spacecraft. If a large volume of empty space surrounds the matter of the cosmos, so that the cosmos can have a centre of mass, then the matter is in a deep gravitational potential ‘well’. If space is expanding and spreading the matter outward, then the depth of the well is decreasing. According to general relativity, especially a new solution of Einstein’s equations derived in the Appendix (which also deals with Birkhoff’s theorem), the decreasing depth continuously shortens ‘radar’ distances within the well, causing the observed apparent acceleration. The magnitude of the anomalous acceleration implies the bottom of the potential well has not yet risen very far above the critical depth for gravitational time dilation. Thus the Pioneer effect supports the essentials of several creationist cosmologies: a centre of mass, expansion of space and recent time dilation. Big bang theorists, whose cosmology does not have a centre of mass, cannot use this explanation. As yet, they have no alternative theory upon which they agree.

## The ‘Pioneer effect’ and its connection with cosmology

Image by Don Davis/NASA

Pioneer 10/11 spacecraft

In 1998, a team associated with the Jet Propulsion Laboratory, Anderson *et al.*,
reported data from the Pioneer 10/11, Galileo and Ulysses spacecraft indicating
an ‘apparent anomalous, constant, acceleration acting on the spacecraft with
a magnitude ~8.5×10^{−8} cm/s^{2} , directed towards
the Sun.’ The Pioneer spacecraft are very distant, far beyond the orbit of
Pluto. The report prompted a flurry of activity among theorists, who tried to explain
the anomaly by using (I) prosaic effects such as gas leaks from the spacecraft,
(II) exotic new physics, or (III) known phenomena previously not applied to the
problem. This article is in class III. Anderson *et al.* answered class I
comments, making a good case that the cause of the effect is not trivial. Then in
2002 they thoroughly documented the effect for Pioneer 10 and 11, the two spacecraft
showing the anomaly most clearly. They also surveyed all the theoretical offerings,
finding none clearly workable. In late 2005, two of the team’s authors surveyed
additional evidence and concluded that it supports their original conclusion: the
effect is real. ‘But’, they say, ‘neither we nor others with spacecraft
or navigational expertise have been able to find a convincing explanation for the
anomaly.’

The Pioneer anomaly manifests itself in two ways: (A) as a shortening of the radar
(transponded) range relative to the expected one, and (B) as a steady increase of
the received (transponded) radio frequency relative to the expected one, i.e. a
‘blue shift’. After evaluating systematic and random errors, they list
in their eq. (53) their best estimate of the anomalous acceleration: *a _{p}*
= −(8.74±1.33) × 10

^{−8}cm/s

^{2}, where the minus sign represents Sunward acceleration.

## Discussion and conclusions

[In my paper which is available as a
PDF I show that] an expanding cosmos having a centre of mass provides a
simple explanation of the Pioneer effect. If this explanation is correct, the anomalous
apparent acceleration of the Pioneer spacecraft would be the first local manifestation
we have observed of the expansion of the cosmos, and the first evidence an expansion
is occurring in the *present*, not just the past.

In contrast, the big bang theory cannot use this simple explanation, because it does not have a center of mass or a large portion of empty space around its matter. Big bang matter would not exist within a gravitational ‘well’, and so there would be no change of gravitational potential as expansion proceeds. Without such a change, there would be no change in ‘radar’ distances and thus no apparent anomalous acceleration of spacecraft. In the absence of an alternative explanation of the Pioneer effect that would be compatible with conventional cosmology, the creationist explanation weighs against the big bang theory.

The magnitude of the Pioneer effect, interpreted according to this paper, would
mean the depth of the cosmic potential well is not far above the critical potential
at which there are large time dilation effects. Because the potential well has been
moving upward through the critical level, large time dilations must have occurred
in the relatively recent history of the cosmos. If the earth is located near the
centre of mass, it would have emerged from the critical level nearly last of all
the matter in the cosmos. According to Scripture and geoscience data, only 6,000
years as measured by Earth’s clocks have elapsed since then. Combining that
information with the present value of *H* implies that today the earth would
still not be far above the critical level, agreeing in general with the value in
eq. (25), [of
my paper].

In conclusion, the observed anomalous acceleration of distant spacecraft supports the essentials of several creationist cosmologies—a cosmic centre of mass, expansion of space, and recent gravitational time dilation.