Dendrogramic Representation of Data: CHSH Violation vs. Nonergodicity

نویسندگان

چکیده

This paper is devoted to the foundational problems of dendrogramic holographic theory (DH theory). We used ontic–epistemic (implicate–explicate order) methodology. The epistemic counterpart based on representation data by dendrograms constructed with hierarchic clustering algorithms. ontic universe described as a p-adic tree; it zero-dimensional, totally disconnected, disordered, and bounded (in ultrametric spaces). Classical–quantum interrelations lose their sharpness; generally, simple are “more quantum” than complex ones. CHSH inequality measure quantum-likeness. demonstrate that can be violated classical experimental represented dendrograms. seed this violation neither nonlocality nor rejection realism, but nonergodicity time series. Generally, ergodicity one basic features DH theory. leads local realistic model violates inequality. also considered for Minkowski geometry monitored dependence geometry, well Lorentz transformation data.

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ژورنال

عنوان ژورنال: Entropy

سال: 2021

ISSN: ['1099-4300']

DOI: https://doi.org/10.3390/e23080971