Pioneer Effect: An Interesting Numerical Coincidence

TL;DR

The paper explores a numerical coincidence linking Pioneer spacecraft acceleration, proton mass, and gravitational constant, proposing a quantum mechanical hypothesis to explain this intriguing similarity.

Contribution

It introduces a novel hypothesis connecting an observed anomalous acceleration with fundamental quantum and gravitational scales.

Findings

Identifies a numerical coincidence involving Pioneer acceleration and proton properties.

Proposes a quantum mechanical framework to explain the coincidence.

Suggests a potential link between macroscopic anomalies and quantum scales.

Abstract

We note that if we construct from the observed anomalous acceleration $a_P=(8.74\pm1.33)\times 10^{-10}m/s^2$ of the spacecrafts Pioneer 10 and 11 towards the Sun, the proton mass $m_p$ and Newton's gravitational constant $G$ a quantity $\ell_P:=(Gm_p/a_P)^{1/2}$, which has the same dimension as length, then $\ell_P$ is roughly of the same order of magnitude as is the Compton wave length of a proton. We formulate a simple quantum mechanical hypothesis, which aims to provide an explanation to this interesting numerical coincidence.