Bell-Type Inequalities from the Perspective of Non-Newtonian Calculus

نویسندگان

چکیده

Abstract A class of quantum probabilities is reformulated in terms non-Newtonian calculus and projective arithmetic. The model generalizes spin-1/2 singlet state discussed Czachor (Acta Physica Polonica:139 70–83, 2021) to arbitrary spins s . For $$s\rightarrow \infty$$ s → ∞ the formalism reduces ordinary arithmetic calculus. Accordingly, limit “non-Newtonian Newtonian” becomes analogous classical a theory.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Bell-type Inequalities from Separate Common Causes

In the light of recent discussions we present the main results of our project, the aim of which was to derive a Bell-type inequality from the weakest possible assumptions. A principal outcome of the project is that a Bell-type inequality can be derived from the assumption of separate common causes (Graßhoff, Portmann and Wüthrich 2005), even without the assumption of perfectly anticorrelating e...

متن کامل

Tracing the bounds on Bell-type inequalities

Karl Svozil† Institut für Theoretische Physik, University of Technology Vienna, Wiedner Hauptstraße 8-10/136, A-1040 Vienna, Austria Abstract Bell-type inequalities and violations thereof reveal the fundamental differences between standard probability theory and its quantum counterpart. In the course of previous investigations ultimate bounds on quantum mechanical violations have been found. Fo...

متن کامل

Bell inequalities from multilinear contractions

We provide a framework for Bell inequalities which is based on multilinear contractions. The derivation of the inequalities allows for an intuitive geometric depiction and their violation within quantum mechanics can be seen as a direct consequence of non-vanishing commutators. The approach is motivated by generalizing recent work on non-linear inequalities which was based on the moduli of comp...

متن کامل

Symbolic Calculus in Non-newtonian Fluid Mechanics

A general purpose package in Mathematica environment for the automatic computation of non-newtonian ow equations is developed and presented. The software allows the user to choose among three coordinate systems and four diierent uid models. Changing of variables, scaling and other formal manipulation of the equations are also possible.

متن کامل

Boole-Bell-type inequalities in Mathematica

Classical Pitowsky correlation polytopes are reviewed with particular emphasis on the Minkowski-Weyl representation theorem. The inequalities representing the faces of polytopes are Boole’s “conditions of possible experience.” Many of these inequalities have been discussed in the context of Bell’s inequalities. We introduce CddIF, a Mathematica package created as an interface between Mathematic...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Foundations of Science

سال: 2022

ISSN: ['1572-8471', '1233-1821']

DOI: https://doi.org/10.1007/s10699-022-09866-w