Is Local the Same as Isotropic in Physics?

[Niles]

Hi

Say I have two expressions of the form

<br /> F(r, t) = \int{dr&#039;\,dt&#039;\,\,x(r,r&#039;,t,t&#039;)g(r&#039;,t&#039;)}<br />

and

<br /> F&#039;(r, t) = \int{dt&#039;\,\,x&#039;(r,t,t&#039;)g&#039;(r, t&#039;)}<br />

It is clear that F' is local in space, whereas F is non-local in space. Is it correct of me to say that F' describes an isotropic object? I.e., does isotropic = translational invariance?


Niles.

 

[mathman]

You should define the various symbols to make it a physics question. Right now they are mathematical expressions.

 

[Niles]

Good point, thanks. Say "x" denotes the susceptibility and "g" the electric field.

 

[mathman]

How about r, r', t, and t'.