Research Arm
Applied research in observability, decision geometry, and longitudinal systems modeling. The corpus is shaped by live operating constraints and released as durable methods.
What the Research Arm Is
The Research Arm turns real-world system problems into reusable methods and versioned artifacts. Current corpus threads include Structural Observability, Decision Geometry, Mutual Observability Fields, and Perceptual Shadows.
We operate as an applied lab: consulting creates empirical grounding, then research packages what works into papers, notes, and concept primitives. The goal is dependable method transfer, not speculative novelty.
We also run prototype programs like Health DKM on HRS data and Deep Sky-style instrumentation workstreams. Each project must define assumptions, uncertainty boundaries, and a credible reproducibility path.
Research Governance
Mission: Build methods for making complex socio-technical systems legible, navigable, and governable.
Values: rigor, reproducibility, safety, and honest uncertainty.
Outputs: methods, prototypes, reference implementations, public notes/papers, workshops.
Research Themes
Themes map directly to corpus concepts and active paper/prototype tracks, so every line of inquiry has a clear publication or implementation pathway.
A working method for making hidden coupling, bottlenecks, and constraint boundaries visible enough to support safe intervention.
Example questions
Geometric framing for decision surfaces, constraint trade-offs, and intervention pathways in uncertain systems.
Example questions
Models of how actors observe one another across shared environments, including lag, distortion, and asymmetric visibility.
Example questions
Frameworks for identifying blind regions where signals appear sufficient but critical state remains hidden.
Example questions
Methods for reasoning about curvature, projection distortion, and state-transition pressure in dynamic systems.
Example questions
Applied modeling on HRS data to map longitudinal risk trajectories, transition pressure, and decision-relevant intervention windows.
Example questions
How Work Gets Selected
Every project follows a documented path from intake to release, with explicit assumptions and review gates before it enters the public or client-private corpus.
Step 1
Define the operational problem, constraints, stakeholders, and acceptable decision boundaries.
Step 2
State what we think is true, why it matters, and what evidence could invalidate the claim.
Step 3
Specify the data, modeling approach, and evaluation plan needed to test the hypothesis.
Step 4
Produce a paper, prototype, or reference implementation with documented assumptions and limits.
Step 5
Release publicly or privately depending on confidentiality, safety constraints, and sponsor agreements.
Some research outputs remain private due to client confidentiality. We aim to publish generalized methods and synthetic examples whenever possible.
Programs
Participation pathways support corpus growth while maintaining consistent quality, precedence discipline, and ethics standards.
Who it's for
Senior practitioners, investigators, and technical leaders with domain depth in high-consequence systems.
Typical contribution types
What they receive
Expectations
Who it's for
Practitioners and emerging thinkers who contribute to focused work packages under defined supervision.
Typical contribution types
What they receive
Expectations
Who it's for
Students and early-career researchers with strong fundamentals and a clear interest in applied systems research.
Typical contribution types
What they receive
Expectations
Library Status
We are curating the public publications library to ensure releases are substantive, technically complete, and useful in production contexts.
Until that curation is complete, publication and paper listings are intentionally hidden from this page.
Critical Credibility
Research is funded via: (a) a percentage of consulting profit, (b) sponsorships, (c) grants where applicable.
Conflicts of interest: we disclose sponsor relationships for any public work.
Confidentiality boundaries: client data is not shared without explicit permission; research uses synthetic or authorized datasets for public examples.
We do not publish client data. When research is published, it is generalized and supported by authorized or synthetic datasets.
Human subjects and sensitive domains: we follow appropriate ethical constraints and make no medical or clinical claims.
We can scope a focused collaboration around your system and map it to existing corpus methods or a new paper track.
Engage us
Share your background, contribution area, and relevant code, technical notes, or prior applied work for review.
Apply / Join research network
FAQ
Short answers to common governance, publication, and participation questions.
It is applied research with commercial grounding. Consulting engagements provide empirical context, while research outputs are developed to publication-grade standards when constraints allow.
Not directly by default. We publish generalized methods and synthetic or explicitly authorized examples only when publication is compatible with confidentiality commitments.
Client-specific deliverables follow engagement terms. Generalized methods, reference implementations, and synthetic examples may be published by Invariant Dynamics under a contract-first split.
Yes, in scoped form. We fund selected independent or partner-led projects when they align with the charter and have a concrete methodology and output plan.
We start from live operating constraints, not abstract toy problems. Methods are expected to be reproducible, uncertainty-aware, and useful in governance and execution contexts.