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4th International Conference on Physics

Berlin, Germany

Lidia Obojska

Siedlce University of Natural Sciences and Humanities, Poland

Title: Quaternions for singlet states of quantum particles

Biography

Biography: Lidia Obojska

Abstract

The following presentation proposes a way to construct quaternions describing singlet states of quantum particles. The
given method follows from an entangled-part theory(EPT). The basic relation of EPT is the division relation, which is
pre-ordering; the anti-symmetry is rejected. Anti-symmetry is necessary for establishing order on elements, but in some cases
it can be too restrictive since it excludes duality; i.e. it glues objects together that are symmetric. In the proposed theory
we define an ordering in terms of the division relation. Moreover, we apply the rejection of anti-symmetry for definition of
indistinguishable objects. In this way, within EPT we can interpret singlet states of quantum particles. The obtained results
suggest that there exist two pairs of quaternions, and they are the only quaternions generating singlet states because they
are generators of the same finite group. Quaternions that form a pair have the same angles of rotation, and the same vectors,
designating the axis of rotation; however, the rotations are in opposite directions. Finally, once quaternions for singlet states
were created, we may be able to generalize the method, and create pairs of quaternions for any, finite number of entangled
particles. Such research is in progress.
Recent Publications:
1. L Obojska (2013) Some remarks on supplementation principles in the absence of anti-symmetry. Review of Symbolic
Logic 6(2):343-347.
2. L Obojska (2013) At the foundations of collective set theory; on non-anti-symmetric mereology. Wyd. UPH w
Siedlcach ISSN 2082-5684.