MetronForge is a place for research in progress: the point between a working calculation and a finished paper where an idea becomes clear enough to explain, test, and challenge.
It is not the name of a single framework or product. It is an independent research notebook by Viktor Mikhalkin, bringing together engineering practice, mathematical investigation, and reproducible computation.
Table of contents
Open Table of contents
Why this site exists
Useful technical work rarely begins as a polished publication. It often starts with an observation, a failed implementation, an unexpected numerical result, or a connection between ideas that normally belong to different fields.
Short-form platforms are useful for sharing such observations, but they are not a durable home for code, formulas, revisions, or a sequence of related experiments. MetronForge provides that home. It preserves the development of an idea while keeping exploratory material distinct from formal results.
Research areas
The current work is organized around three connected areas.
Test engineering
This includes test architecture, domain-focused automation, observability, failure analysis, and the design of verification systems that remain useful as software evolves.
Numerical methods
The focus here is on structural approaches to linear and nonlinear systems, computational certificates, solver behaviour, and experiments designed to expose both strengths and failure modes.
Mathematical experiments
This area includes geometric integration, integral transforms, reconstruction problems, and other constructions developed through a cycle of definition, calculation, comparison, and falsification.
The boundaries are deliberately permeable. Techniques from software testing can improve numerical experiments, while mathematical structure can suggest new ways to design and verify software systems.
Notes, projects, and publications
MetronForge separates material by its level of maturity:
- Notes present observations, working methods, experiments, and accessible explanations. They may change as the research develops.
- Projects contain implementations, tools, and reproducibility artifacts.
- Publications contain papers, preprints, and other formal research outputs.
This distinction matters. A promising experiment is not yet a theorem, and a working implementation is not by itself evidence of generality. Each item should make its current status visible.
An evolving record
Research notes may be corrected, expanded, combined, or replaced. Material changes are reflected in the modification date, and supporting code or data is linked when it is ready for public use.
The aim is not to publish every intermediate thought. It is to preserve the parts of independent research that are useful to inspect, reproduce, criticize, or develop further.
Start with the latest notes, browse the projects, or follow the more formal work in publications.