Quote:
Originally Posted by Cougar
I loved this line from the paper....
The balloon-with-dots or bread-with-raisins analogies, like any analogies, are useful so long as we are aware of what they successfully illustrate and what constitutes pushing the analogy too far.... They correctly demonstrate the effects of the expansion of the universe, but not the mechanism. That they fail at some level is hardly surprising: we’re representing 4-dimensional pseudo-Riemannian manifolds with party supplies.
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That's great. Some of us are of the opinion that telling us 'you don't comprehend the true workings of the forth dimension' is suspicious, whether we are talking about mathematical abstractions or a soothsayers crystal ball. Sometimes we are skeptical, not because we don't understand, but because we do.