| seeing and believing
Within mathematical limit, seeing and believing are respectively equivalent to projective and conformal transformation.
In projective geometry the invariance are properties of configurations or shapes, for example, a person remains a person at temporal zero and spatial infinity instead of changing into a whale with no arm and no leg but fin and tail. In conformal mapping, angles and directions remain invariant at spatial zero and temporal infinity, for example, a person facing east remains facing east at temporal infinity. Both attributes of projective and conformal are applicable to the structure of space-time as its homogeneity and isotropy.
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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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