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From Pure Spinor Geometry to Quantum Physics: A Mathematical Way - MaRDI portal

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From Pure Spinor Geometry to Quantum Physics: A Mathematical Way

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Publication:6208916

DOI10.1393/NCB/I2008-10477-XarXiv0803.3882MaRDI QIDQ6208916

Author name not available (Why is that?)

Publication date: 27 March 2008

Abstract: In the search of a mathematical basis for quantum mechanics, in order to render it self-consistent and rationally understandable, we find that the best approach is to adopt E. Cartan's way for discovering spinors; that is to start from 3-dimensional null vectors and then show how they may be represented by two dimensional spinors. We have now only to go along this path, however in the opposite direction; with these spinors (which are pure) construct bilinearly null vectors: and we find that they naturally generate null vectors of Minkowski momentum space, where Cartan equations defining pure spinors are identical to all equations of motion for massless systems: both the quantum (Weyl's) and the classical ones (Maxwell's), are determined by them. We have then the possibility of a new, purely mathematical, determination of h: the Planck's constant, and thus the possible mathematical starting point for the representation of quantum mechanics.





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