What is difference between homogeneous and isotropic material? The answer is different To conclude, I will just remark that homogeneity and isotropy are independent from each other Below you can see an homogeneous but not isotropic pattern on the left and an isotropic but not homogeneous pattern on the right (source) Edit: I should have specified this, but a material can be isotropic with respect to a
Does isotropy imply homogeneity? - Physics Stack Exchange They required the following: Use elementary thought experiments to show that isotropy of the universe implies homogeneity I know homogeneity as the universe is the same everywhere at a given time, and isotropy is related to direction I wonder how the isotropy of the universe implies homogeneity
Relation between Homogeneity and Isotropy of space? Isotropy expresses a symmetry of space which is the rotational one The Universe should mathematically look the same (its various quantities remain invariant) after you execute a rotation towards any direction or series of such
Explanation of homogeneity of space and time by giving examples? Isotropy of time (are you sure that it's isotropy of time and not isotropy of space, I don't recall Landau mentioning it) means that the Physics doesn't change if you go backwards in time (but this if false, because the weak interaction violates time reversal) But two experiments apparentely might not obey this properties
What does isotropic space mean? - Physics Stack Exchange This sentence is fairly abstract The thought is not from our traditional thinking perspective, but from a philosophic or logic point of view Isotropic space means the space properties are not different in direction In mechanics, when we say material properties are isotropic, it means, for example, its modulus is the same in all directions For an empty space, it is trivial to show this For
Why do we say the universe is isotropic when we are clearly moving w. r . . . Modern cosmology is built on the Friedmann equations, which in turn rely on isotropy — the idea that the universe looks the same in every direction — as a fundamental assumption However, there's a very noticeable dipole in the CMB, the standard interpretation of which is that we are moving with respect to the frame in which the CMB is at rest
kinetic theory - What is isotropy actually how does it ensure that . . . Isotropy means that the probability of moving in one direction is the same as in any other, and this behavior is implemented in the mathematical models of statistical mechanics to show how thermodynamic quantities, like temperature and entropy, emerge from the aggregate of molecules
Is there a contradiction between isotropy and the Big Bang? The quantum mechanical fuzziness and the inflation period in the plot generate the isotropy Before introducing the inflation period there could be no thermodynamic equilibrium, due to the light cone separations at the early universe Take a usual balloon and assume it started expanding from a point, where all the surface was concentrated at a