Correction: (max 500 charact.)
The complaint will not be published.
I 89
Symmetry/Barrow: A "TEO": "Theory of everything" searches for the all-embracing symmetry. The computer image is completely different, it neither refers to symmetry as the primary assumption, nor does it make the assumption of continuity, but on the contrary:
One gives a discontinuous structure to the world with the bits. Discontinuous worlds are not only more complicated than continuous worlds, they are even infinitely more complicated. (Number of transformations).
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Theory of Everything , >
Analog/digital , >
Complexity , >
Simplicity .
I 309f
Symmetry/Barrow: nature uses it to make natural laws independent of motion and shape of objects and observation.
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Conservatrion laws .
Two approaches:
a) totalitarian: what is not forbidden by the demand for symmetry must be a necessary condition of natural laws
b) liberal: everything is forbidden that is not necessary to maintain symmetry.
I 345
Topology influences the role that symmetry can play in nature.
I 412
Symmetry/Reversibility/Arithmetic/Barrow: in arithmetics there is certainly no clear reversibility - e.g. the sum 2+2=4 has no clear inverse. The sum can be decomposed in several ways, but there is only one sum.
Edward Fredkin: a logical circuit is possible whose operation is reversible, and which in principle can convey information without entropy gain and generation of waste heat.
Fredkin-Gate: three inputs and three outputs, the left one remains unchanged, the other two can cross, depending on whether the value of the first one is 1 or 0. This circuit does not convey any information and is its own inverse.