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The Complementarity Principle and Syädväda
Given a statement A, it may not be at all easy to discover the conditions or situations under which not-A holds. It may even appear at the time impossible. But faith in Syädväda should encourage one to continue the search. For example, in Euclidean geometry the sum of the three angles of a triangle is equal to the sum of two right angles. The negation of this theorem is a new geometry in which the sum of the three angles
triangle is not equal to the sum of two right angles. Not until two thousand years after Euclid was non-Euclidean geometry discovered, in the nineteenth century; Einstein's theory of general relativity is based on this geometry.
For special relativity theory, the Syädväda approach is directly applicable. Seven modes of Syadvada, illustrated by the example of an atom in a box with two compartments.
1.
2.
3.
4.
Atom in a box
Atom in left compartment (L)
L
Atom in right compartment (R)
L
L
R
Cases (1) and (2), at different times; or two similar boxes at the same time
L
R
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R
R
Atom in both compartments, at the same time,
this wave aspect is nonvisualizable
N
R
Quantum-mechanical
representation
(in the usual notation)
System in state |L>
System in state |R>
Mixture of L> and R> represented by L><UR> <R
System in a state which is superposi tion of
L> and R> 1 │P><L> + R>
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Syädvåda mode of description
Existence (atom in L)
Nonexistence (in L)
Existence (in L) and Nonexistence (in L)
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Avaktavya (Inexpressibility)
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