Modulated Interface Penetrating Research & Application • Singapore
The MIPR Institute is a dedicated, frontier research facility established to govern the complex, non-stationary boundaries where human intelligence interfaces with digital systems. By mathematically mapping the six systemic interfaces of the triadic Human+AI+CPS ecosystem, the Institute provides a self-regulating, fail-conspicuous envelope for high-stakes engineering practice.
Traditional human-in-the-loop directives fail to specify operational boundaries or enforcement mechanics in automated workflows. This volume establishes the triadic Human+AI+CPS model, demonstrating that governance belongs strictly at the six system interfaces. Represented geometrically as a structural triangle, the pairwise relations constitute its edges while the one-against-two relations constitute its medians, intersecting at the unvarying Centre of Focus (COF / 0). This framework introduces the Factor of Safety (FOC) metric for cognitive checkpoints, scaling verification margin with the irreversibility of failure.
This manuscript formalizes the mathematical and static stability parameters of the Centre of Focus (COF / 0) operating within a triadic Human-AI-Cyber-Physical System (CPS). By treating the interfaces as a closed geometric set, we resolve the unmoving coordinate origin where professional responsibility, algorithmic support, and physical site records reach a perfect balance. The equations establish structural equilibrium for engineering calculations, preventing algorithmic drift from silently compromising professional accountability.
Transitioning the triadic paradigm from static equilibrium to dynamic wave kinetics, Volume III models the high-entropy "slip" of digital information across the system boundaries. Drawing a profound mathematical symmetry from elite fluid dynamics—notably Academician Lu Xiyun's reduced-order variational mode decomposition (Liao et al., 2023)—this volume introduces a second-order wave-damping equation. This formula stabilizes the cognitive interfaces, extracting a stable, non-stationary learning centroid from highly turbulent and rapid workflow execution.
In the spirit of complete Sincerity (Cheng), these foundational preprints are endowed under an unrestricted CC BY 4.0 International License. To sustain continuous boundary-layer research on the cyber-physical frontier, we invite independent "free scientists," Research Fellows, and funding groups to collaboratively test and calculate within our framework.
If your institution wishes to voluntarily back our active research nodes (Project CH=1, CH=2, or CH=3), contributions can be seamlessly assigned via our secure e-commerce gateway.
Access Endowment ChannelThese preprints represent active "learning partner sharing" generated dynamically by our integrated Human, AI, and CPS layers, carrying a strict validity limit of three months from the date of publication. While AI-driven modules (such as ChatGPT, Claude, and Gemini) refine and polish the computational depth, the "MIND IN ACTION" of the human practitioner remains the sole authority. Dr. Hao Junbao accepts undivided professional responsibility and accountability for all inquiries under Singapore's regulatory engineering frameworks.