In Self-contradiction, Machian Geocentrism Entails Absolute Space

TL;DR

This paper critiques Machian geocentrism, showing it implies absolute space and conflicts with empirical evidence, thus challenging the viability of geocentric models based on Mach's principles.

Contribution

It demonstrates that Machian geocentrism leads to the necessity of absolute space and is incompatible with observational data, providing a critical analysis of Popov's approach.

Findings

Geocentrism implies absolute space due to non-duplicability of accelerations.

The force exerted by Earth on Sun depends on Sun's mass squared, independent of Earth's mass.

Cosmic Microwave Background asymmetry falsifies geocentric models.

Abstract

Luka Popov has attempted to advance Machian physics by maintaining that the heliocentric system must be replaced by Tycho Brahe's geocentric system. We show that while geocentrism relies on Mach's contention that accelerations are relative, this contention is untenable because, inter alia, the consequences of an acceleration of an object with respect to the fixed stars cannot be duplicated by acceleration of the stars with respect to this object and, if the universe and a co-rotating observer have the same angular velocity, this motion is detectable because they have different linear velocities. Also, geocentrism precludes the relativity of accelerations and leads to an absolute space while Mach argued against absolute space, Popov's result that the force exerted by the Earth on the Sun depends on the square of the Sun's mass but is independent of the Earth's mass is paradoxical, and the annual asymmetry of the Cosmic Microwave Background falsifies all geocentric or 'Tychonic/Brahean) systems.