| are there natural bisectors? -
02-07-2006, 12:27 PM
Nature provides its own means of delineating equality. These are the angle and perpendicular bisector, applicable to any angle or any line segment and independent of any coordinate systems. However, two prior assumptions exist: (1) a straight line segment can be constructed connecting two points (2) two equal circles can be constructed with two points as centers. These are respectively Euclid’s 1st and 3rd postulate with the 3rd modified to reflect equality. Some might recall that invalidating Euclid’s 5th postulate led to non-Euclidean geometries which were subsequently used by general relativity. Further reflection bearing concepts of Einstein’s relativities would suggest that the modified 3rd postulate could never be possible. In other words, it is futile to construct two perfectly equal circles no matter how long it takes time wise from here to eternity. Incidentally, there was a movie made with the title: ‘From Here to Eternity’. If the equal circles cannot be constructed at time zero it could never be constructed at time infinity. This impossibility is the basis of chaos theory: sensitivity to initial conditions or also known as the Butterfly Effect. This could only imply that equality of circles can be constructed exclusively at time equal zero hence suggesting that primary forces exist only at time zero and space zero. At space zero gravity is also zero. Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: ¶a(t)·¶r(t)=c² |