Models 128-135: complete prison manifold
- 1. St Charles Community College
- 2. Independent Researcher
- 3. Independent researcher
Description
This work presents a comprehensive model of prison environments using concepts from nonlinear systems, information geometry, and behavioral dynamics. The framework treats the prison as a structured “informational space” in which individuals move, interact, and adapt under constraints such as surveillance, enforced proximity, limited resources, and institutional rules.
In this model, behavior is not viewed as purely individual choice, but as the result of navigating a constrained environment shaped by pressure, risk, and social structure. Individuals continuously monitor their surroundings, respond to perceived threats, and adjust their behavior through ongoing cycles of signaling, alliance formation, and status negotiation.
The model identifies key environmental features—such as high-pressure zones, isolation units, and areas of low surveillance—that strongly influence where and how conflict emerges. It also explains how repeated exposure to these conditions leads to long-term effects including behavioral rigidity, identity compression, and difficulty with reintegration.
By combining spatial structure, social recursion, and system-level feedback, this framework provides a unified way to analyze institutional behavior, escalation dynamics, and the broader psychological impact of confinement. It is designed to be adaptable across different facilities and to support future empirical testing and refinement.
Abstract (English)
This work introduces a unified framework for modeling prison environments as constrained informational manifolds with recursive social dynamics. The model represents institutional space as a structured geometry in which agent states evolve under conditions of enforced proximity, surveillance, resource scarcity, and rule-based constraints. Movement through this manifold is governed by cost metrics reflecting perceived safety, threat, and informational load, producing survival-driven trajectories rather than free or optimal paths.
Building on this geometric foundation, the framework incorporates recursive status–safety dynamics in which agents continuously scan, signal, and recalibrate social position through feedback loops involving tension, alliances, and environmental pressures. These dynamics are formalized using information geometry, Fisher metrics, and Weyl extensions to account for context-dependent scaling of informational cost and perception.
The model further integrates system-theoretic dynamics, including feedback, constraint boundaries, phase transitions, and hysteresis, to capture behavioral lock-in, identity compression, escalation cycles, and institutional rigidity. Discrete network representations of zones and flows complement the continuous manifold structure, enabling analysis of pressure points and conflict emergence.
This framework provides a multi-level, mathematically grounded description of how institutional environments shape behavior, social structure, and long-term outcomes, offering a foundation for analyzing instability, intervention strategies, and reintegration challenges in high-constraint systems.
Notes (English)
This work documents an ongoing theoretical research program exploring recursive informational geometry in cognition. Mathematical formalization and empirical testing remain active areas of development.
Files
128-135 complete prison manifold.pdf
Additional details
Related works
- Is part of
- Proposal: 10.5281/zenodo.20120452 (DOI)
Dates
- Created
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2026-03-19
- Collected
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2002Data Collection from prison sentence 04/2002 to 02/2006
References
- Gheuens, J. (2025). Models 128-135: complete prison manifold. Zenodo.