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Physics, Astronomy & Cosmology / Re: Does the cosmological principle dictate isotropy?
« on: 08/07/2021 19:56:28 »
Thanks all for your patient and enlightening discussion. I think I understand now:
The axiom that holds that fundamental laws of physics are the same at every location seems reasonable and is well-supported by observation and experimentation.
From there we can say that the universe is homogenous by translational symmetry (no special spot). And isotropy from rotational symmetry (no special direction).
As far as the distribution/organization of matter: we can say that there is a probability distribution function of finding matter somewhere that is essentially the same everywhere. This does not mean there is no variation, but just that the variation is equal everywhere (to first approximation—then we can start to account for deviations from this random noise distribution by saying that although the rules are the same everywhere, the history is not.)
Please let me know if this is incorrect.
The axiom that holds that fundamental laws of physics are the same at every location seems reasonable and is well-supported by observation and experimentation.
From there we can say that the universe is homogenous by translational symmetry (no special spot). And isotropy from rotational symmetry (no special direction).
As far as the distribution/organization of matter: we can say that there is a probability distribution function of finding matter somewhere that is essentially the same everywhere. This does not mean there is no variation, but just that the variation is equal everywhere (to first approximation—then we can start to account for deviations from this random noise distribution by saying that although the rules are the same everywhere, the history is not.)
Please let me know if this is incorrect.
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