Well... No Creationism, if you don't mind.
In the Beginning, there was a Big Bang - or whatever.
Blah-blah-blah, blah-blah-blah, one shiny morning a star emerged in one of the prongs of the galaxy that not even then conceived humans would much-much later call the Milky Way.
And here our Story begins...
Here's the first part of a well updated "history of Earth", if you don't mind: [video]http://youtu.be/M4pt0fFn_a4[/video].
Geologists and such guys measure the timescale of the Earth's and even Universe's history in some standard units - based on years, years as we have them now. Then come - days? Yeah, there are "standard days", but we remember that the length of a day has always been changing - since the beginning of Earth's rotation -- right? Now what about a year?
Was the early Earth's orbit stable in yonder days? Interesting, huh?:)
Something to note there is that in plenty of sci-fi, people look for this planet where a day actually lasts one Earth Day, and that has a satellite. Setting aside apocalyptic scenarios, in a few million years an Earth day will have slowed to e.g. 25 hours, and will thus no longer correspond to the universal standard.
Being an unrealised centre of the Universe won't effect Glasgow.