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E=mc2Mass and energy are conserved.The more energy you have the less mass you have. The more mass you have the less energy you have.The speed of light c has two components DISTANCE which is the SPACE dimension of space-time and TIME the TIME dimension of space-time. The faster you travel in space the less you travel in time. The faster you travel in time the less you travel in space.That appears to me to be a conservation law but with time itself being conserved. Space and time are conserved quantities but are interchangeable. This is the same as mass in the form of matter and energy being conserved but interchangeable.This leads to two questions.1) Is space-time conserved?2) If space-time is conserved how can space expand without time contracting?
Quote from: MikeS on 05/05/2012 09:32:34E=mc2Mass and energy are conserved.The more energy you have the less mass you have. The more mass you have the less energy you have.The speed of light c has two components DISTANCE which is the SPACE dimension of space-time and TIME the TIME dimension of space-time. The faster you travel in space the less you travel in time. The faster you travel in time the less you travel in space.That appears to me to be a conservation law but with time itself being conserved. Space and time are conserved quantities but are interchangeable. This is the same as mass in the form of matter and energy being conserved but interchangeable.This leads to two questions.1) Is space-time conserved?2) If space-time is conserved how can space expand without time contracting?We often say something is conserved over time, not that time itself is conserved. That would not be enlightening since time is a universal invariant. It's always there anyway, unchanging.
Yes, it is invariant locally. But then time is local. The absence of finding a global time in GR however makes your question redundant, if you were meaning it in a global sense. You can't speak about a conservation if the object doesn't exist on a global case.Recently I conjectured you can't speak about a conserved quantity of energy for the global case of a universe because there is a vanishing global time due to the WDW-equation. This arguement is different however because we do not argue that energy is absent. Only the necessary tools capable of describing such a symmetry in the theory.