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| Raider of the lost time
Status: Offline Posts: 5,613
Thanks Given: 790
Thanked 184x in 178 Posts
Join Date: Nov 2003 Rep Power: 80 | space trimmer and time slicer -
05-16-2006, 12:25 PM
If the whole of space-time is like a loaf of bread, a time slice would be a coordinate patch sharing a set of common spatial coordinates at a particular instant. In so doing, the local infinitesimal degrees of freedom is reduced from 8 to 6, removing 2 temporal degrees, giving a static 3D space of pure energy (color 2D photograph or 3D wooden figurine). The static set is equivalently R mapped into R itself by 1-to-1 correspondence. Although a 2D photograph mapped into R or R or higher without compromising any information content is possible, it remains 2D if the correspondence stays 1-to-1. However, if the correspondence is upgraded into 1-to-many, or many-to-1, or many-to-many then the content becomes a 3D living picture as if not just Pinocchio’s wooden nose lengthening but the boy becomes a living human being of flesh and blood http://en.wikipedia.org/wiki/Pinocchio. The reverse process is a picture of Dorian Gray http://en.wikipedia.org/wiki/The_Picture_of_Dorian_Gray. 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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