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187 lines
4 KiB
Markdown
187 lines
4 KiB
Markdown
# RRC Logogram Projection Bridge
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Date: 2026-05-08
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Status: projection bridge, not a mathematical proof.
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Runner:
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```text
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4-Infrastructure/shim/rrc_logogram_projection_bridge.py
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```
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Receipt:
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```text
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4-Infrastructure/shim/rrc_logogram_projection_bridge_receipt.json
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```
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Curriculum:
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```text
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4-Infrastructure/shim/rrc_logogram_projection_bridge_curriculum.jsonl
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```
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Receipt hash:
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```text
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83f44e8341788f6cbb2013704af2622f95f140b5a98402d69cd4ddde5ea88826
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```
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## Primary Read
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Logograms are now RRC projection objects.
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The bridge binds:
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```text
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canonical cell hash
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bounded glyph payload
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substitution receipt
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semantic regime
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RRC type witness
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```
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into a single `LogogramProjection` receipt.
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## Projection Equation
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```text
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P_logogram(source) =
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(
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canonical_hash,
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cell_hash,
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glyph_payload_16,
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semantic_regime,
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substitution_receipt,
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rrc_type_witness
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)
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```
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## Result Summary
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```text
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sample_count: 5
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RRC CANDIDATE witnesses: 5
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RRC HOLD witnesses: 0
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projection_admissible: 5
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merge_admissible: 4
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repaired_tear: 1
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```
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The distinction matters:
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```text
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RRC CANDIDATE
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means the object fits the LogogramProjection type-shape well enough for the
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next proof / route stage.
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projection_admissible
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means the projection is also safe under local payload and semantic-regime
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guards.
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merge_admissible
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means the projection may be merged into ordinary tokenbook / route space.
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quarantine_projection
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means the projection is preserved as an isolated tear-boundary receipt, not
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merged.
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```
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## Per-Sample Results
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```text
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quadratic_formula
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shape: LogogramProjection
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type witness: CANDIDATE
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projection admissible: true
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pde_residual
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shape: LogogramProjection
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type witness: CANDIDATE
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projection admissible: true
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metaglyph_fold
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shape: LogogramProjection
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type witness: CANDIDATE
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projection admissible: true
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semantic_tear
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shape: LogogramProjection
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type witness: CANDIDATE
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projection admissible: true
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merge admissible: false
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projection lane: quarantine_projection
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repair status: isolated_not_merged
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detached mass: detached_mass:3e2412df1702b180
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mhchem_surface
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shape: LogogramProjection
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type witness: CANDIDATE
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projection admissible: true
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```
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The `semantic_tear` case is useful. It confirms that RRC type admission,
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projection admission, and merge admission are separate gates. A torn object can
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be preserved as an auditable projection receipt while still being refused as a
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tokenbook merge.
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## Tear Repair
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The tearing fix is not to smooth the tear away. The fix is:
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```text
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horrible_manifold_tearing
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-> contradiction_witness_hash
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-> tear_boundary_hash
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-> detached_mass_id
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-> semantic_boundary_residual
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-> quarantine_projection
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-> merge_admissible = false
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```
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Current repaired tear:
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```text
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sample: semantic_tear
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contradiction_witness_hash:
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3e2412df1702b1800594d5e570e390518a13c52891e3f034c0419f0c17dbdabb
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tear_boundary_hash:
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47ae66c7227687763d915d4eacda4d8971546255b3df46b1966df9ed82283f04
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repair_receipt_hash:
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68433cb400970b62d4e6b095b013b83b7e875a39d40465f183818c23a3afd68b
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```
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## RRC Shape Addition
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The RRC shim now includes a `LogogramProjection` lawful shape. Its field
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equation is:
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```text
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logogram_cell -> canonical_hash -> glyph_payload -> projection_lane
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admit iff
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cell hash,
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payload bound,
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substitution receipt,
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and regime guard close
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```
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## Failure Rules
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```text
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logogram projection reported as proof of equation -> invalid
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payload over 16 bytes without residual lane -> HOLD
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horrible_manifold_tearing merged without contradiction witness -> invalid
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repaired tear treated as merge-admissible without separate proof receipt -> invalid
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missing RRC witness or weak projection axis -> HOLD
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```
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## Next Steps
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```text
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1. Add a residual lane for logograms that need more than 16 payload bytes.
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2. Feed projection-admissible logograms into E1/E2 symbolic route features.
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3. Add Lean RRCShape.LogogramProjection and an admission theorem.
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4. Use quarantine projections to preserve tears without unsafe tokenbook merges.
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```
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