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  • 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
  • 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
  • general relativity - What is meant when it is said that the universe is . . .
    It is sometimes said that the universe is homogeneous and isotropic What is meant by each of these descriptions? Are they mutually exclusive, or does one require the other? And what implications r
  • 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
  • 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
  • Reference frame doubts about isotropy - Physics Stack Exchange
    Homogeneity and isotropy of space in dynamics means the following in practice Consider an isolated (sufficiently far from the other bodies of the universe) mechanical system made of an arbitrary number of interacting bodies Prepare it with some initial conditions and record the dynamical evolution of the parties of the system with a fixed camera
  • general relativity - How to demonstrate the form of the FLRW metric . . .
    Rotational Symmetry and Isotropy Isotropy means that the universe looks the same in all directions from any given point Mathematically, this implies that the metric should be invariant under rotations If you rotate your coordinate system, the metric should retain the same form
  • 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
  • What is the conservation law associated with isotropy of time?
    In my mind, the isotropy of time means physics law is the same in every time direction (analogous to space isotropy) Based on that logic, time has two directions, forward and backwards
  • Why is the Stress Tensor a Diagonal Matrix for Static Fluids?
    For this reason the off-diagonal components of the stress tensor vanish If the fluid moves, isotropy is lost because velocity introduces directivity Neighboring fluid elements exert tangential (shear) forces on each other This creates off-diagonal components of the stress tensor, which depend on the fluid's viscosity





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