# R12 RGDE Relational Identity Carrier Preregistration

**Status:** closed negative after job `693125`. See
`R12_RGDE_RELATIONAL_IDENTITY_RESULT.md`.

**Claim class:** public no-fit compiler-interface development. This is not an
executor, sealed confirmation, autonomous reasoning, or novelty claim.

## Failure being tested

The one-shot recurrent-depth board localized end-to-end failure to composed
referent grounding: predicted entity matching was 77.952%, while the same
frozen recurrent cell with gold packets was 100% exact in final state and
99.072% exact across all transitions through depth eight. The current packet
compresses every role occurrence independently to one mean lexical vector.
That operation discards the discrete relation that two spans contain the same
ordered token sequence.

## Proposed bounded carrier

Before source deletion, preserve each compiler role as normalized sigmoid token
weights. Compare an operation role to each of the three introduction roles with
a fixed translation-invariant sequence kernel:

1. form the weighted equality matrix between source token IDs;
2. sum weighted matches along every relative-position diagonal;
3. retain the maximum diagonal mass; and
4. normalize by the two role-weight norms.

This produces one bounded three-way identity relation per operation. It uses
the frozen model's learned role masks and exact vocabulary identity, but no
string parser, answer, state transition, optimizer, executor, or retained full
source tensor. Ordered comparison is essential: an unordered bag cannot
distinguish `A-B` from `B-A`.

## Fresh public board

The builder is committed before choosing its production seed. It will generate
512 semantic quartets / 2,048 rows balanced over depths three through eight,
with fresh paired nonce names, unseen known-atom factor combinations, matched
order/binding twins, two agreeing CPU executors, and zero overlap with public
factorized train/development data. No confirmation artifact is an input.

## Frozen methods

- existing normalized-sigmoid lexical mean at temperature 1.0;
- unordered vocabulary-mass cosine at temperature 0.5;
- ordered sequence kernels at temperatures 1.0, 0.5 (primary), and 0.25;
- gold-span ordered sequence ceiling.

There is no learned parameter, sweep-selected score, retry, or seed selection.
Temperature 0.5 is the sole primary before score access; the others are
mechanistic controls.

## Gates

The primary ordered carrier advances only if all are true:

1. at least 99% identity overall;
2. at least 98.5% at every depth and on every surface;
3. at least a 15-point gain over the existing lexical mean;
4. no worse than unordered vocabulary-mass cosine;
5. gold ordered-span ceiling at least 99.9%;
6. one H100 job exits `0:0`, hashes the exact board/report/base/compiler/
   tokenizer/probe, records zero fit updates and zero confirmation access.

Failure closes this carrier. Passing authorizes only a separately frozen
source-deleted executor interface on public development data. It cannot reopen
or reread the failed depth confirmation; a later confirmation must use a new
independent seed and board.