1995Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsOpen access

Classical mechanics without absolute space

D. Lynden–Bell, Jonathan L. Katz

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Abstract

Relative mechanics with no absolute space is shown to be equivalent to Newtonian mechanics applied in a universe of zero net angular momentum. Closed spaces in general relativity have no angular momentum and shrivel to one point as the mass-energy contained tends to zero, thereby obeying Mach's principle on the origin of inertia. \textcopyright{} 1995 The American Physical Society.

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Relative mechanics with no absolute space is shown to be equivalent to Newtonian mechanics applied in a universe of zero net angular momentum. Closed spaces in general relativity have no angular momentum and shrivel to one point as the mass-energy contained tends to zero, thereby obeying Mach's principle on the origin of inertia. \textcopyright{} 1995 The American Physical Society.

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Relative mechanics with no absolute space is shown to be equivalent to Newtonian mechanics applied in a universe of zero net angular momentum. Closed spaces in general relativity have no angular momentum and shrivel to one point as the mass-energy contained tends to zero, thereby obeying Mach's principle on the origin of inertia. \textcopyright{} 1995 The American Physical Society.

Key concepts: Absolute time and space, Inertia, Physics, Classical mechanics, Angular momentum, Zero (linguistics), Special relativity, Theory of relativity

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