This video (GR - 11) begins by thinking about what the equation of a uniformly accelerating object would be in flat two dimensional Minkowski space-time (one dimension of space, one of time). After finding this to be an hyperbola, the discussion moves on to thinking about a ‘convoy’ of such objects each accelerating in such a way that they measure one another to be essentially “moving in unison”. The seemingly bizarre results which come from this lead to the idea of ‘hyperbolic co-ordinates’ - which can be used to measure the position of events in this flat Minkowski two-dimensional spacetime. This idea of ‘hyperbolic co-ordinates’ will be further explored and developed in the next video (GR - 12)
This video is part of a series of videos on General Relativity (GR-01 to GR-20), which has been created to help someone who knows a little bit about “Newtonian Gravity” and “Special Relativity” to appreciate both the need for “General Relativity”, and for the way in which the ‘modelling’ of General Relativity helps to satisfy that need - in the physics sense.
The production of these videos has been very much a ‘one man band’ from start to finish (‘blank paper’ to ‘final videos’), and so there are bound to be a number of errors which have slipped through. It has not been possible, for example, to have them “proof-watched” by a second person. In that sense, I would be glad of any comments for corrections ……. though it may be some time before I get around to making any changes.
By ‘corrections and changes’ I clearly do not mean changes of approach. The approach is fixed - though some mistakes in formulae may have been missed in my reviewing of the final videos, or indeed some ‘approximate explanations’ may have been made which were not given sufficient ‘qualification’. Such changes (in formulae, equations and ‘qualifying statements’) could be made at some later date if they were felt to be necessary.
This video (and channel) is NOT monetised
30 сен 2024
