[Paper Review] Visualizing 2D Quantum Field Theory: Geometry and Informatics of Mobilevision

Denis V. Juriev|ArXiv.org|Jan 14, 1994

advanced mathematical theories13 references3 citations

TL;DR

This paper introduces a novel geometric and informatic framework for visualizing 2D quantum field theories through the conceptual lens of 'Mobilevision,' a virtual reality model that interprets quantum field dynamics via non-Alexandrian geometry and conformal field theory analogs. It proposes that anomalous virtual realities (AVRs) and intentional AVRs (IAVRs) enable new modes of information transmission, revealing deep connections between quantum projective structures, q_R conformal symmetry, and topological invariants in 2D QFT.

ABSTRACT

This article is devoted to some interesting geometric and informatic interpretations of peculiarities of 2D quantum field theory, which become re- vealed after its visualization. Contents. I. Geometry of Mobilevision: 1.1. Interpretational geometry and anomalous virtual realities; 1.2. Quantum projective field theory and Mobilevision; 1.3. Quantum conformal and q_R conformal field theories; quantum-field analogs of Euler-Arnold top; 1.4. Organizing MV cyberspace; 1.5. Non-Alexandrian geometry of Mobilevision. II. Informatics of Mobilevision: 2.1. Information transmission via anomalous virtual realities: AVR-photodosy; 2.2. Information transmission via intentional anomalous virtual realities: IAVR-teleaesthesy.

Motivation & Objective

• To develop a geometric interpretation of 2D quantum field theory using non-Alexandrian and quantum projective geometries.
• To explore the role of anomalous virtual realities (AVRs) in modeling quantum field dynamics and information flow.
• To establish analogies between quantum field theories and classical dynamical systems, such as the Euler-Arnold top.
• To formalize information transmission mechanisms via intentional AVRs (IAVR-teleaesthesy) and AVR-photodosy.
• To unify conformal field theory structures with informatic principles in a mobile, adaptive virtual environment framework.

Proposed method

• Introduces 'Mobilevision' as a dynamic, virtual spatial framework for visualizing 2D quantum field theories.
• Applies quantum projective field theory to model field configurations in non-Alexandrian geometries.
• Uses q_R conformal field theory as a mathematical analog to describe symmetries in the visualized field structures.
• Models information transmission through AVR-photodosy (passive virtual reality imaging) and IAVR-teleaesthesy (intentional virtual reality signaling).
• Constructs a topological cyberspace framework (MV cyberspace) to organize field-theoretic data and symmetries.
• Draws analogies between field-theoretic evolution and the dynamics of the Euler-Arnold top in quantum and conformal settings.

Experimental results

Research questions

• RQ1 How can 2D quantum field theories be geometrically visualized using non-Alexandrian and quantum projective structures?
• RQ2 What role do anomalous virtual realities (AVRs) play in encoding and transmitting quantum field information?
• RQ3 In what way do q_R conformal field theories serve as analogs to classical dynamical systems like the Euler-Arnold top?
• RQ4 How can intentional AVRs (IAVRs) enable new modes of information transmission in quantum field-theoretic contexts?
• RQ5 What is the topological and informatic significance of organizing MV cyberspace as a framework for field-theoretic visualization?

Key findings

• The paper establishes a correspondence between quantum conformal field theories and non-Alexandrian geometries, enabling new visualization paradigms.
• AVR-photodosy is proposed as a mechanism for passive, structure-preserving information transmission in virtual field spaces.
• IAVR-teleaesthesy is introduced as a model for active, intention-driven information encoding in quantum field-theoretic virtual environments.
• The quantum projective field theory framework reveals hidden symmetries in 2D QFTs through geometric duality and conformal invariance.
• The Euler-Arnold top is identified as a classical analog for quantum field dynamics in the Mobilevision model, particularly in q_R conformal settings.
• The revised version (v4) corrects typographical errors and finalizes the theoretical framework, affirming the coherence of the Mobilevision model in 2D QFT.