Abstract
A perverted space-time geodesy results from the idea of variable
rods and clocks, whose length and rates are taken to be affected by the
gravitational field. By contrast, what we might call a concrete geodesy relies
on the idea of invariable unit-measuring rods and clocks. Indeed, this is a basic
assumption of general relativity. Variable rods and clocks lead to a perverted
geodesy, in the sense that a curved space-time may be seen as a result of a
departure from the Minkowskian space-time as an effect of the gravitational
field on the rate of clocks and the length of rods. In the case of a concrete
geodesy, we have a curved space-time “directly”, the curvature of which can be
determined using (invariable) unit-measuring rods and clocks. In this paper,
we will make the case for the plausibility of the claim that Einstein’s views
on geometry in relation to general relativity are permeated by a perverted
geodesy.