Claim tiers
Four claim tiers separate graph/operator facts from geometric, physical, and aspirational interpretation.
Research
Research driven by difficult questions.
Computational findings, negative results, corrections, and open problems are all part of the research.
Research standard
Make the dependency chain visible.
Reproducibility
Attach results to finite configurations, controls, and versioned artifacts.
Negative results
Record mechanisms that fail in the tested class.
Corrections
Withdraw superseded interpretations when auditing changes the conclusion.
Flagship program
Phase-Tuned Relationalism
A computational framework investigating when geometric structure can emerge from relational graph dynamics.
Computational research programRecent findings
Finite models, controlled results, open questions.
Fixed-reference equilibrium
In the tested finite 1D setup, a fixed locality reference produced a sustained equilibrium geometric phase.
Self-reference did not nucleate the target geometry
Across tested metric schemes and two move sets, the mechanism did not produce the intended result.
Frozen dynamics replaced the earlier interpretation
A move-count audit found that every attempted rewire in the tested connectivity-floor configuration was blocked, so the prior sustain interpretation was withdrawn.
Publications
Read the PTR web paper.
Phase-Tuned Relationalism
Formal definitions, computational methodology, finite results, corrections, and open questions.
September 2026Read the web paper
Work with Korelis Labs
Critique, replicate, or extend the work.
Mathematical, graph-theoretic, complex-systems, and quantum-information review is welcome.