Homogeneity Definition and 58 Threads

Homogeneity and heterogeneity are concepts often used in the sciences and statistics relating to the uniformity of a substance or organism. A material or image that is homogeneous is uniform in composition or character (i.e. color, shape, size, weight, height, distribution, texture, language, income, disease, temperature, radioactivity, architectural design, etc.); one that is heterogeneous is distinctly nonuniform in one of these qualities.

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  1. G

    Do Cosmological Assumptions Affect Conservation Laws?

    If the assumptions of homogeneity and isotropy lead to the conservation laws of linear momentum, angular momentum, and energy, would a cosmology that drops either of those assumptions lead to violations of those conservation laws which in turn could be observed? My first guess would be yes, but...
  2. dextercioby

    Can space-time homogeneity put limits

    ...on the gauge-invariance of classical electrodynamics ? I'm thinking of flat Minkowski space-time of SR in which a charged particle moves and generates an electromagnetic field described by the well-known Lie/nard - Wiechert potential. In this situation can we say all spacetime is...
  3. L

    Heisenberg UP and space homogeneity - an intuitive reasoning

    Let's consider the position x and momentum p of a free particle. \Delta\ x\Delta\ p\geq \hbar/2 so, if \Delta \ x is little enough, \Delta \ p is big enough. The fact \Delta \ p is big implies that we cannot say the momentum conservation law is valid anylonger. But: space is...
  4. quasar987

    Homogeneity and isotropy of space and time

    Landau's Mechanics and also a cranky book on waves & oscillation I read some time ago talks about space and time being homogeneous and isotropic. I assume that the homogeneous property of space means that it does not matter where the motion of a closed dynamical system unfolds, the result will...
  5. B

    How to probe the homogeneity of the universe ?

    We can probe the isotropy of the universe by observing the universe just from a single place. However, as I know, that is not true for homogeneity. What type of expriments we can carry out on ground or spcae, for probing the homogeneity of the universe.
  6. Loren Booda

    Does homogeneity infer isotropism?

    Does homogeneity infer isotropism?
  7. honestrosewater

    Where are the real definitions of homogeneity and isotropy?

    What do homogeneity and isotropy mean as properties of the universe? [skippable complaining]It seems like a pretty basic question, but I can only find analogies or short and sweet 'definitions' with no context to give them meaning (which aren't necessarily bad - just not helping me). To give...
  8. Eugene Shubert

    The Implications of Homogeneity and Isotropy

    I’m wondering if it’s mathematically permissible, if space is homogeneous and isotropic, for a moving rod to experience a uniform expansion or contraction during the time it’s not in its stationary frame of reference. What’s preventing a moving rod from returning to its point of origin smaller...
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