| does spherical symmetry exist?
In light of natural asymmetry, does spherical symmetry really exist for any given vector field? This symmetry seems exclusively for all scalar fields since they don’t have to define direction. However, if the metric property is removable from both groups of vector and scalar field then they all become equivalent. Examples of vector field are EM field, gravity field, strong-weak nuclear field, electroweak field and for scalar field there are Higgs field, true-false vacuum field, thermal field, entropy field, density field, volume field, mass field, charge field, and time field. To say that they are equivalent without the spacetime metric property would be a gross understatement.
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Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: ¶a(t)·¶r(t)=c²
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