ifc-0056
3.11 A differential creativity process
The resulting process refines the status-bearing extension dossier of Chapter 2:
Declare a conceptual differential universe \((\mathcal M,F)\), its interpretation, observers, and repair double vector bundle.
Select a finite family of Weil probes appropriate to the claim.
Realize and compose the probes at the current theory state; when integration semantics are available, evolve their assimilatory and proto-accommodative directions as partial curve-object flows.
Detect instability, nonclosure, or observer-relative null directions in the resulting Weil profile.
Compare repair orders through \(\Theta _{\mathrm{int}}\), or by estimating its classical realization \(\Omega _{\mathrm{cre}}\), and localize any mixed effect in the core.
Assimilate if possible by testing repairs expressible in the maintained differential universe, including compatible proto-accommodative probes.
Integrate the candidate repair by testing whether it persists and composes into a coherent finite path, rollout, or other declared realization inside the maintained theory.
Control and propose if necessary by testing registered no-change, parameter, in-language, measurement, observer, and domain-specific alternatives. If none explains the admitted finite realization, propose a package comparison \(\Upsilon :\mathfrak R\to \mathfrak R^+\). A finite sketch map \(J:\mathbb S\to \mathbb S^+\) records its presentation component when one exists; probe or observer changes are named separately.
Transport old models and local meaning through the semantic component of \(\Upsilon \), including \(\bar J\) and the comparison family \(\chi \) when the presentation changes.
Admit, reject, revise, or defer the package proposal using proof, simulation, or other independent evidence.
This process is cyclic. An admitted package change determines a new ambient world and hence a new interpretation of subsequent probes. Creativity changes not only what the system believes, but what it can vary, compare, and ask next.