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- Newsgroups: sci.physics
- Path: sparky!uunet!stanford.edu!CSD-NewsHost.Stanford.EDU!Sunburn.Stanford.EDU!pratt
- From: pratt@Sunburn.Stanford.EDU (Vaughan R. Pratt)
- Subject: Re: Some physics questions
- Message-ID: <1992Nov8.174608.24504@CSD-NewsHost.Stanford.EDU>
- Sender: news@CSD-NewsHost.Stanford.EDU
- Organization: Computer Science Department, Stanford University.
- References: <MATT.92Nov6134208@physics3.berkeley.edu> <6NOV199215292345@csa1.lbl.gov> <1dhv1tINNrnh@iskut.ucs.ubc.ca>
- Distribution: na
- Date: Sun, 8 Nov 1992 17:46:08 GMT
- Lines: 41
-
- In article <1dhv1tINNrnh@iskut.ucs.ubc.ca> ramsay@unixg.ubc.ca (Keith Ramsay) writes:
- >For example, if I ask how long tall you are, the proposal is that the
- >only content which can be gathered from the question is to compare
- >your height to some reference length(s). A "length" is, essentially,
- >just defined by its ratios to the framework of all the other lengths
- >which we can talk about-- most especially to standardized ones. But,
- >if, for example, some bizarre change were to occur which affected only
- >the particular phenomenon which was used to define the standard,
- >leaving the ratios of most other quantities basically intact, then
- >we'd surely agree to change the standard, rather than regard all the
- >other quantities as having changed. (The old example was, "what if the
- >platinum bar in Paris were stretched".)
-
- What would happen if that platinum bar and a 9192631770 Hz cesium clock
- were transported to some other local group of galaxies, keeping it at
- the prevailing outside temperature of 2.7K? After one third of the
- trip would one see exactly the same number of clock cycles along the
- length of the bar as after two thirds? (The trip will be quite long
- enough for the bar to reach thermal equilibrium.)
-
- Light is supposed to zip along an honest meter bar in exactly
- 1/299792458 seconds (the bar in Paris may need an extension welded on
- to make it honest at 2.7K). Hence the above measurement should be
- *exactly* 656616555/21413747 clock cycles, in round numbers about
- 30.6633189884983697621906152155435477966560 (more digits on demand :-),
- Could this conceivably become exactly 30.6634 or 30.6632 at some point
- during the trip?
-
- With regard to bar length, assume you were carrying a variety of meter
- bars of different stable materials (I have no idea what materials are
- sufficiently stable for billions of years). With regard to clock
- frequency, assume you were carrying a variety of atomic clocks based on
- hyperfine transitions of various elements. And assume that the
- observed change was the same to within 10% of the change for all
- combinations of bars and clocks.
-
- Given these circumstances, which parameter would you prefer to say had
- changed, light speed, bar length, or clock frequency? Or would you
- prefer to say that there was no basis for choosing among these?
- --
- Vaughan Pratt
-