Empirical Gap in Lindblad-Based Social Quantum Models — E8 Intelligence Research

FINDING: Lindblad master equation formalism for open quantum systems, applied to social agent models and quantum cognition, lacks direct empirical validation in the cited sources. | MATH: Lindblad equation: dρ/dt = -i/ℏ[H,ρ] + Σ_k γ_k (L_k ρ L_k† - ½{L_k†L_k, ρ}); Liouvillian superoperator L[ρ] = -i[H,ρ] + D[ρ] where D[ρ] is the dissipator; Markovian semigroup generator with completely positive trace-preserving (CPTP) dynamics. | CONNECTION: The dissipator structure involves eigenvalues of the Liouvillian that can exhibit spectral gaps; in social network models, the adjacency matrix eigenvalues relate to graph spectra — for regular lattices these connect to root systems (A_n, D_n) and crystallographic symmetries. However, no explicit golden ratio, 0.618, 0.786, or base-60 constants appear in the cited material. | DEPTH: 3 — The Lindblad equation is mathematically rigorous and foundational, but the specific application to social agents/quantum cognition is not empirically validated in t Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-11
DOI
https://doi.org/10.5281/zenodo.22702029
Primary Topic
Opinion Dynamics and Social Influence
Type
preprint
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Empirical Gap in Lindblad-Based Social Quantum Models — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Opinion Dynamics and Social Influence
preprint

Empirical Gap in Lindblad-Based Social Quantum Models — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Lindblad master equation formalism for open quantum systems, applied to social agent models and quantum cognition, lacks direct empirical validation in the cited sources. | MATH: Lindblad equation: dρ/dt = -i/ℏ[H,ρ] + Σ_k γ_k (L_k ρ L_k† - ½{L_k†L_k, ρ}); Liouvillian superoperator L[ρ] = -i[H,ρ] + D[ρ] where D[ρ] is the dissipator; Markovian semigroup generator with completely positive trace-preserving (CPTP) dynamics. | CONNECTION: The dissipator structure involves eigenvalues of the Liouvillian that can exhibit spectral gaps; in social network models, the adjacency matrix eigenvalues relate to graph spectra — for regular lattices these connect to root systems (A_n, D_n) and crystallographic symmetries. However, no explicit golden ratio, 0.618, 0.786, or base-60 constants appear in the cited material. | DEPTH: 3 — The Lindblad equation is mathematically rigorous and foundational, but the specific application to social agents/quantum cognition is not empirically validated in t Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Reduced inequalities
Opinion Dynamics and Social Influence
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