How does shape change behavior?
Change one geometric parameter and see which predictions follow from a declared equation.
Try a geometry experiment →Research edition 03
Start with three questions.
A short route from an understandable question to a model you can inspect, a limitation you can name, and a test you can help improve.
Five minutes to find your way
How can matter retain information?
Compare the same input with and without a retained internal state that changes the later response.
Introduce memory →Which relationships cross scales?
Shared shapes do not establish shared laws. Compare dimensionless quantities and look for where a relationship fails.
Test a scaling relationship →Read every result with its evidence label
| Label | Meaning | What to check |
|---|---|---|
| Established background | A finding supported in its stated domain. | Original source and conditions. |
| Proposed framework | Hill’s hypothesis or selected model. | Variables, alternatives and failure conditions. |
| Synthetic demonstration | Computed from declared equations. | Code, inputs, units and numerical checks. |
| External measured data | Observations made by other researchers. | Provenance, license, controls and test independence. |
| Unresolved | An adequate test or prediction is still missing. | What evidence is needed next. |
Choose a deeper route
What the framework adds
Separate established mechanisms from proposed extensions.
Inspect the distinctions →The model lab
Predict, compare and export a reproducible record.
Open guided mode →A bounded review task
Check a derivation, identify a confound or reproduce a computation.
Choose a task →