Physics

Biography

Biography: Eliza Wajch

Abstract

This research concerns consequences of modifications of several axioms of Krause’s remarkable quasi-set theory (QST) in
which quantum objects, indistinguishability and quasi-cardinals are taken into consideration. A motivation for changes
of QST, strictly relevant to applications in quantum mechnics, will be given. A notion of a model of QST is suggested since
satisfactory constructions of models of QST are needed. It can be shown that, paradoxically, it may happen in a model of
QST that there exists an infinite collection of pairwise distinct quasi-cardinal assignments such that distinct members of
this collection assign distinct quasi-cardinals to the same quasi-set of micro-atoms of QST although every quasi-set has only
one quasi-cardinal with respect to a given quasi-cardinal assignment. This is an answer to the following question posed, in
November 2017, by F Holik who had been inspired by my results shown partly at the 2nd International Conference on Physics
in Brussels in August 2017: is it possible to create a denumerable family of equally valid quasi-cardinal functions in such a way
that it can be proved that a particle number of a given quasi-set cannot be defined? Comments on another question of F Holik
whether different quasi-cardinal functions can represent different outcomes of a physical experiment with a particle number
measurement will be made.