*The Paraconsistent Logic of Quantum Superpositions*
https://arxiv.org/abs/1306.3121

Physical superpositions exist both in classical and in quantum physics. 
However, what is exactly meant by ‘superposition’ in each case is extremely 
different. In this paper we discuss some of the multiple interpretations 
which exist in the literature regarding superpositions in quantum 
mechanics. We argue that all these interpretations have something in 
common: they all attempt to avoid ‘contradiction’. 

We argue in this paper, in favor of the importance of developing a new 
interpretation of superpositions which takes into account contradiction, as 
a key element of the formal structure of the theory, “right from the 
start”. In order to show the feasibility of our interpretational project we 
present an outline of a paraconsistent approach to quantum superpositions 
which attempts to account for the contradictory properties present in 
general within quantum superpositions. This approach must not be understood 
as a closed formal and conceptual scheme but rather as a first step towards 
a different type of understanding regarding quantum superpositions.

...
Quantum computation makes use of the multiple flow of information in the 
superposition even considering (in principle) contradictory paths. Also 
quantum cryptography uses the relation between contradictory terms in order 
to send messages avoiding classical spies. At a formal level, the path 
integral approach takes into account the multiple contradictory paths 
within two points. Thus, since both the formalism and experiments seem to 
consider ‘contradictory elements’ within quantum mechanics, we argue that 
it can be of deep interest to advance towards a formalism which takes 
contradiction into account “right from the start”.

...

other refs:
*Is there some place for contradictions?*
*From paraconsistent logic to Physics*
http://www.irafs.org/materials/slides_irafs_2018/lambert.pdf

*A Probabilistic Paraconsistent Logical Model for Non-Relativistic Quantum 
Mechanics Using Interlaced Bilattices with Conflation and Bernoulli 
Distribution*
https://www.scirp.org/journal/paperinformation.aspx?paperid=79394


@philipthrift

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