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Scalar master geometry · research ledger

One geometry.
Several theories.

marici.Nima studies whether normal layers, boundary operations, pairings, and sewing structures of a scalar surface intrinsically produce NLSM, Yang–Mills, and gravity.

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Established
Tree pairing and pure-state selector

∞

Generalized cuts
Closed under induced Einstein sewing

01

Open obstruction
Canonical chain-level trace lift

Theory-producing operations

Three distinct mechanisms

Rank jump, normal jet, and primitive symmetric sewing are kept distinct rather than collapsed into a single double-copy slogan.

  1. 01

    rank-jump associated grade

    NLSM

    gr_R(Scalar cells) → regional Catalan transfer → QTDSall-core coefficients exact · chain assembly open
  2. 02

    first normal jet

    Yang–Mills

    H_gauge(J¹ Scalar)working structure
  3. 03

    primitive symmetric retract

    Gravity

    PrimSym²_g(J¹ Scalar)tree + cuts

Active marici.Nima theorem target

Assemble the regional transfer into one chain map

The direct Catalan bijection and the directed-forest sink rule now identify every partial-core scalar sector with QTDS at all even arity. What remains is compatibility between different core strata before coefficient augmentation.

Core-incidence / worldsheet assembly

open

⊗R ΦR   ⇝   Φcell   ⇝   ΦPoch/Cousin

Construct the higher homotopies relating regional Catalan maps when a physical core edge is added or removed. The resulting deck-equivariant cellular map must preserve cuts and then lift through the filtered Pochhammer/Cousin comparison to the worldsheet half-class.

Human-readable memory

The ledger records claims with their perimeter.

Entries live in src/ledger and explicitly distinguish established structure, strong inference, open questions, and prohibited overclaims.

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