Re: Stomachs and Butane gas cylinders can falsify Einstein's Equivalence Principle
- From: mluttgens@xxxxxxxxx
- Date: Wed, 7 Jan 2009 15:47:37 -0800 (PST)
On 7 jan, 13:17, Albertito <albertito1...@xxxxxxxxx> wrote:
How can we know, in a closed lab with no windows, whether
we are inside a constant accelerated rocket or at rest
in the surface of a planet, feeling its gravity?
The following experiment must be performed. Consider a
liquid Butane gas cylinder. Since, the Butane is stored
at high pressure, part of it is liquid and the remainder
is gas. So, in the surface of a planet at rest, the liquid
inside the cylinder tends to be at the bottom and the
gas tends to be at the top. So, 'bottom' is always the
closer place in the cylinder to the center of masses
of the gravitational field, whereas 'top' is the most
far-off place. Now, at rest in the planet surface, you
shake the Butano cylinder, such that liquid and gas get
temporarily mixed. After stop shaking, you can measure
the least time needed for the liquid to return back to
the bottom and the gas to return back the top. Of course,
there will always be a certain percentage of gas remaining
within the liquid, and also a certain percentage of liguid
within the gas. Anyway, call that time restoration time,
and call rest places both to bottom and top.
If that experiment is performed in a constant accelerated
rocket, the restoration time will be slightly larger.
Why? Because in a kinematical acceleration the directions
towards what we call 'bottom' and 'top' are better defined,
so Butane molecules are forced by mutual collisions to move
in parallel paths in the way to their respective rest places
for gas and liquid states. In a planet's surface, directions
toward a rest place are spanned, because the planet is not a
point-like body. A way to a rest place, inside the Butane
cylinder, can be found faster when there are several spanned
directions to be chosen, so the shortest path in time is always
chosen. IOW, in a kinematical accelerated rocket, the shortest
paths in _space_ are found toward the rest places, whereas in
a lab at rest in a planet's surface, they are the shortest
paths in _time_.
Am I wrong? :-)
Take light instead of butane:
http://pagesperso-orange.fr/mluttgens/Equivalence.htm
Marcel Luttgens
.
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