Do M\"arzke-Wheeler effects influence on measured data in nature?

TL;DR

This paper investigates whether M"arzke-Wheeler effects impact measured data in nature, specifically analyzing their influence on the Pioneer anomaly and finding it to be a significant fraction of the anomaly, but inconclusive due to measurement errors.

Contribution

It develops a formula for the M"arzke-Wheeler map of accelerated observers and applies it to assess its effect on the Pioneer anomaly.

Findings

M"arzke-Wheeler effects account for about a fifth of the Pioneer anomaly.

Measurement errors prevent definitive conclusions about the effect.

The study encourages further observational research to clarify the influence.

Abstract

We wonder whether M\"arzke-Wheeler effects influence on measured data in nature. Through a formula developed in this letter for the calculation of the M\"arzke-Wheeler map of a general accelerated observer, we study the influence of the M\"arzke-Wheeler acceleration effect on the NASA's Pioneer anomaly and found that it is about a fifth of the anomaly value. Due to statistical errors in the measured anomaly, it is not possible to neither confirm nor neglect the influence of the M\"arzke-Wheeler acceleration effect on the measured Pioneer data. We hope that the ideas presented here could encourage other research teams in the search for other observational objects that could finally answer the question posed in this letter.