Bose-Einstein Correlations and Collective Flow in Proton-Proton Collisions at â đ = 13 TeV: A Tensorial Framework via the Haddad-Î Formalism
Year: 2025
Type: article
Abstract: This article introduces a novel geometric framework for interpreting BoseâEinstein correlations (BEC) in high-energy protonâproton collisions. Traditionally used to probe the femtoscopic structure of particle-emitting sources, BEC measurements provide access to source radii and coherence parametersâbut are often interpreted through purely statistical or hydrodynamic models. In this work, the author proposes a new tensorâthe HaddadâÎ tensorâthat captures the interplay between quantum phase coherence, space-time curvature, and entropic flow within the emission region. By applying this tensor to BEC observables such as the homogeneity radius R_{\mathrm{inv}} and the correlation strength \lambda, the article reinterprets femtoscopic results as geometric and information-theoretic projections of an underlying quantum system. The study uses experimental data from CMS and ATLAS at \sqrt{s} = 13\,\mathrm{TeV}, and validates the tensor model through detailed Monte Carlo simulations, LĂ©vy and Gaussian fits, and direct mapping of experimental parameters to tensor eigenvalues. The results suggest that even in small systems, such as high-multiplicity pp collisions, collective behavior and geometric coherence can emerge and be described by a unified tensorial formalism. Bridging ideas from quantum gravity, information geometry, and collider physics, this article lays the foundation for a deeper theoretical understanding of QCD collectivityâand opens new paths for incorporating curvature, coherence, and entropy into the analysis of femtoscopic data.
Author: Nader, Haddad
Institution: University of Oxford
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6893231502
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