Mathematics – Logic
Scientific paper
Aug 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004acasn..45..288k&link_type=abstract
Acta Astronomica Sinica, vol. 45, no. 3, p. 288-300
Mathematics
Logic
Cosmology, Special Relativity, General Relativity
Scientific paper
An attempt to answer the puzzling question,"Can we observe galaxies that recede faster than light?", has led to a re-examination of the notions of time, distance, velocity and redshift as they occur in Newtonian Physics, Special Relativity, General Relativity and Cosmology. It is found that these basic notions have different meanings in the different contexts, that once the differences are recognized, particularly those between Special Relativity and Cosmology, the above question becomes straightforward and easily answered. It is pointed out that what is interesting to physics is not individual events, but intervals between specified events. Pairs of equations are selected to illustrate the changing meaning of time interval and distance from one theory to the next. A number of common misconceptions are pointed out. It is underlined that modern cosmology is not pure General Relativity; rather, it is an application of General Relativity under the Cosmological Principle, thanks to which quantities relating to large distances at given times become well-defined and calculable.
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