The Universal Law of Academic Capital: A Parameter-Unified Theory of Academic Integritology
Abstract
Academic capital, comprising research funding (ℱ), accumulated titles and honours (ℒ), and administrative power (𝒜), has undergone a silent global decoupling from verifiable epistemic output since the 1990s. Here we present a parameter-unified theory of Academic Integritology that integrates 64 major parameters into a coherent chassis of twelve fundamental equations (Eqs. 0-11b). The theory introduces two computable metrics: Ψ (net epistemic indispensability) and Psafe (the Markov-blanket safety boundary of systemic integrity). The Dzj fraudulence index, defined as κ[Cap]/E[P], quantifies this decoupling. Calibrated against retraction data from 40 jurisdictions and the careers of 12 Nobel-caliber scientists, the theory derives a universal law: when E[P]/(w1[Cap]) falls below θc ≈ 0.25, honest research ceases to be an evolutionarily stable strategy. Three jointly necessary levers, raising E[P]/(w1[Cap]), auditing Rpol, and constraining ω, restore Psafe. Three levers, pulled simultaneously, suffice. The theory transforms academic integrity from a moral aspiration into an engineerable system property.
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BibTeX
@misc{zhang2026universal,
title = {{The Universal Law of Academic Capital: A Parameter-Unified Theory of Academic Integritology}},
author = {Yiguo Zhang and Ruiguang Wang and Xi Chen and Zhengwen Zhang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.30153},
eprint = {2610.30153},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.30153},
}
RIS
TY - UNPB
TI - The Universal Law of Academic Capital: A Parameter-Unified Theory of Academic Integritology
AU - Yiguo Zhang
AU - Ruiguang Wang
AU - Xi Chen
AU - Zhengwen Zhang
PY - 2026
DA - 2026/10/01
PB - arXiv
DO - 10.48550/arxiv.2610.30153
UR - https://arxiv.org/abs/2610.30153
AB - Academic capital, comprising research funding (ℱ), accumulated titles and honours (ℒ), and administrative power (𝒜), has undergone a silent global decoupling from verifiable epistemic output since the 1990s. Here we present a parameter-unified theory of Academic Integritology that integrates 64 major parameters into a coherent chassis of twelve fundamental equations (Eqs. 0-11b). The theory introduces two computable metrics: Ψ (net epistemic indispensability) and P_safe (the Markov-blanket safety boundary of systemic integrity). The D_zj fraudulence index, defined as κ[Cap]/E[P], quantifies this decoupling. Calibrated against retraction data from 40 jurisdictions and the careers of 12 Nobel-caliber scientists, the theory derives a universal law: when E[P]/(w_1[Cap]) falls below θ_c ≈ 0.25, honest research ceases to be an evolutionarily stable strategy. Three jointly necessary levers, raising E[P]/(w_1[Cap]), auditing R_pol, and constraining ω, restore P_safe. Three levers, pulled simultaneously, suffice. The theory transforms academic integrity from a moral aspiration into an engineerable system property.
ER -