Flavour-Oscillation Clocks and the Geometricity of General Relativity

Knox, Eleanor (2009) Flavour-Oscillation Clocks and the Geometricity of General Relativity.

This is the latest version of this eprint.

Abstract

I look at the ‘flavour-oscillation clocks’ proposed by D.V. Ahluwalia,
and two arguments of his suggesting that such clocks might behave in a way
that threatens the geometricity of general relativity (GR). The first argument
states that the behaviour of these clocks in the vicinity of a rotating gravitational
source implies a non-geometric element of gravity. I argue that the
phenomenon is best seen as an instance of violation of the ‘clock hypothesis’,
and therefore does not threaten the geometrical nature of gravitation.
Ahluwalia’s second argument, for the ‘incompleteness’ of general relativity,
involves the idea that flavour-oscillation clocks can detect constant gravitational
potentials. I argue that the purported ‘incompleteness-establishing’
result is in fact one that applies to all clocks. It is entirely derivable from GR,
does not result in the observability of the potential, and is not at odds with
any of GR’s foundations.

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• Flavour-Oscillation Clocks and the Geometricity of General Relativity (deposited 02 September 2008)
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