For states where one nonrelativistic particle is present, the initial wavefunction has a frequency distribution concentrated near " m " } }.
2.
We know for nonrelativistic particles that their mass density decreases proportional to the inverse volume of the Universe, so the equation above must be true.
3.
If so, it's more or less because spatial and temporal curvature contribute equally to the deflection when light is involved, while with nonrelativistic particles ( and in the Newtonian limit ) only the temporal curvature matters.
4.
Let's look at the example of a one-dimensional nonrelativistic particle with a 2D ( " i . e ., " two states ) internal degree of freedom called " spin " ( it's not really spin because " real " spin is a property of 3D particles ).
5.
To cosmologists it means " nonrelativistic particles ", which have the property that they dilute by a factor of x 3 when the universe expands by a linear factor of x ( or a volume factor of x 3 ) . " Radiation " is relativistic particles, which dilute by a factor of x 4 instead.
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