Not boa constrictors. In 1930, P.A.M. Dirac (1902-1984) stated in the preface to the first edition of his first book, the Principle of Quantum Mechanics, that the arrival of symbolic transformation theory was long overdue. In contrast to usual coordinate representations of quantum mechanics (QM), for examples, Schrödinger’s wave mechanics and Heisenberg’s matrix mechanics, he chose to use the unusual bra and ket vectors, symbolizing abstract invariants of physical observables (particles, waves, and fields). Kets are used to describe the time evolution of a particular state vectors. However, to quantize it to a local infinitesimal region of spacetime, it must be constricted by its dual state vector called simply as the bra vector. Without any doubts, these word constructs came from breaking the word ‘bracket’ with the ‘c’ reserved for symbolizing complex or imaginary linear operators. See http://en.wikipedia.org/wiki/Dirac_notation
Dirac bracket notations clearly suggested the dual yin-yang structures of all quantum fields. Further improvements of the underlying topologies could then allow a complete description of spacetime quanta or spacetime charges. The discoveries of quantized intrinsic spins and elementary antiparticles were necessary steps to a complete independence on differentiability of any order or any linearity. Planck had already accomplished the transition from continuous integration to discrete sums for energy quanta. So, it is now the proper moment for initiating the transition from continuous differentials to discrete singular square Hadamard matrices H+ and H-. The almost perfect topological structures for these descriptions are the abstract ring structures (see http://mathworld.wolfram.com/Ring.html). In contrast, the preferred structures, so far, were abstract Lie groups (see http://mathworld.wolfram.com/LieGroup.html). The differences for Hadamard matrix rings are the nonexistence of inverses. These give determinant zeros with scalar power factors of ring multiplication.


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