| name | 0.4.1-understand-gauge_theory_of_dinf |
| description | ["0.4.1"] |
| the conjecture | the metalanguage of how gradations and views transform IS a gauge theory over the reflexive do |
understand-gauge_theory_of_dinf
CALL NUMBER: gauge_dinf_conjecture_unverified.gauge_theory_of_dinf : ee_v2_layer(9), map_layer(5), lfpoop_lib(3), law(2)
DEFINITION: the conjecture: the metalanguage of how gradations and views transform IS a gauge theory over the reflexive domain — grade structure as dynamics, views as local frames
Invoke this skill to understand gauge_theory_of_dinf down to its primitives. The RELATIVE ROOT below is the least-fixed-point closure of everything it bundles from — the full import cone, grouped by the lib each prim comes from. Projected from a prover-typed KB (MAP/SWI-Prolog consistency gate): every reference below resolves.
THE RELATIVE ROOT (the import cone, by lib)
from ee_v2_layer
- relative_root (d2): the least-fixed-point closure of everything X bundles from, walked to prims or to consumers, tagged by origin lib
- kernel (d2): a parsed recursive chain: named nodes with substeps plus a closure clause
- fixpoint_meter (d3): zero newly-accreted structure across a cycle = stabilized; the kernel's own closure clause, measured
- metacompiler (d3): parses any chain-notation prompt into a kernel and runs it as a gated cycling KB compiler
- chain_notation (d3): the [Name]: N.Node: Na.step format — a prompt whose structure IS the program
- curried_compiler (d4): compile(kb, X, op): CEL context from the relative root of X, one seat, accrete, re-check — every agent is this curried
- cycle (d4): one walk of a kernel's nodes by fresh seats, ending in a harvest
- harvest (d5): the cycle-end dump of emerged concepts and relations into the persistent KB
- worklist (d6): the prover-minted backlog: define (referenced-but-undefined), connect (orphans), reconcile (near-duplicates)
from gauge_dinf_conjecture_unverified
- certificate_invariant (d1): the gauge-invariant observables: what every view must agree on = the certificates, the facticity layer
- connection_transport (d1): how certified ground moves across regions and grades: the relative root and lineage carrying source facts over a boundary
- curvature_residue (d1): CONJECTURE: the residue is curvature — where transport around a loop fails to close; SOUP = curved, ONT = flat, done = curvature zero; residue-as-holonomy is underived
- gauge_view (d1): a view or telling or kernel: a local frame in which the seat works; no privileged gauge; results select
- order_gradation (d1): the ^4: grade-shifts of the position triple; the grading becomes dynamics the moment a grade-raising operator exists (emission, next_level, retype_up)
- position_triple (d1): the 3 in the 81 law: the three positions of D=[D->D] — object, map-space, evaluation; EE's layer frames are literally these (what-is / how-build / build-this)
- translation_groupoid (d1): translations between views compose but are not always invertible — a groupoid not a group; the gauge calculus already says functor
- grade_raiser (d2): the operator that makes gradation dynamical: emission at pass end, lfpoop next_level with goldenization, the tower step
from law
- futamura_tower (d1): the projection ladder: specializing an interpreter to a program yields a compiler; specializing the specializer compounds
- automatability_test (d2): a process is automatable under a view iff the view's self-application trace reaches fixpoint — metacompile the view, run it, read the meter; non-convergence means re-gauge the view, not give up
from lfpoop_lib
- lfpoop_ladder (d3): the 10-rung realization ladder of ONE identity: function, program, graph_entity, skill, manual, agent, application, distribution, golden_artifact, compiler_improvement; next_level admits exactly the next rung
- architecture_chain (d4): the 8-link chain: code_thing, graph_mirror_entity, runtime_object, actor, network, compiler, meta_compiler, repository_ecology
- goldenization (d4): hot artifacts cool through execution, testing, witnessing — the cooling dynamics of the ladder
from map_layer
- certificate (d2): a replayable proof envelope over a construction: subject, payload, kappa, sha — monotone, never uncertifies
- soup_frontier (d2): the named violations when a construction fails: dangling, orphan, ungrounded — the retry signal and the work queue
- map_prover (d6): SWI-Prolog closed-world checker behind a typed construction boundary; the consistency typer for everything the seats emit
- authority_split (d7): seats author candidate facts only; the engine holds source facts; a seat can never witness itself
- consistency_typing (d7): the KB cannot become internally inconsistent: every emission passes the typer or its violations are named
Projected from the the_toy_stack KB (57 concepts / 84 relations) — consistency-typed by MAP; the facet list after the colon IS the cross-lib dependency web.
(leaf — this is an actual skill.)
