In 4QX, a thing’s meaning is determined by (i) which corner it lives in, and (ii) which permitted edges/phases are allowed to move it. Content doesn’t inherently “mean” anything—geometry and phase discipline assign meaning.
Two Binary Distinctions Generate Four Meanings
The four quadrants emerge from crossing two independent binary axes:02_GLOSSARY_NOTATION.md+2
- Outer vs Inner — public seam (TL-TR) vs private interior (BL, BR)
- Form vs Flux — stable structure vs live dynamics
This 2×2 crossing forces the quadrant semantics:
| Quadrant | Abbrev | Location | Meaning |
|---|---|---|---|
| Pattern | P / TL | Outer Form | Public pattern library — schemas, protocols, interfaces02_GLOSSARY_NOTATION.md+1 |
| Event | E / TR | Outer Flux | Public events — live offers, market dynamics, seam moment02_GLOSSARY_NOTATION.md+1 |
| Resource | R / BL | Inner Form | Private self-mosaic — identity, capabilities, resources02_GLOSSARY_NOTATION.md+1 |
| Metric | M / BR | Inner Flux | Private execution — metrics, behavior, actual burn02_GLOSSARY_NOTATION.md+1 |
The “why” isn’t semantic poetry—it’s enforced by permitted-edge geometry and six-phase linearization.05_SIX_PHASE_CYCLE.md+1
Edge Adjacency Operationally Defines Meaning
Each quadrant’s meaning becomes operationally defined by which phases write it and which phases read it:05_SIX_PHASE_CYCLE.md+1
P / TL (Pattern) — Selection & Refinement Substrate
Written by:
- IStart (BL→TL): Project from resources into patterns (option space)[ppl-ai-file-upload.s3.amazonaws]
- CFinish (BR→TL): Fold execution results back into pattern library[ppl-ai-file-upload.s3.amazonaws]
Read by:
- IDo (TL→TR): Choose offers to publish[ppl-ai-file-upload.s3.amazonaws]
- CStart (TL→TR): Bind patterns to seam work[ppl-ai-file-upload.s3.amazonaws]
TL means “pattern” because it’s the only corner both upstream of seam publication and downstream of execution refinement.[ppl-ai-file-upload.s3.amazonaws]
E / TR (Event) — Public Temporal Aperture
Written by:
- IDo (TL→TR): Publish offers/commitments[ppl-ai-file-upload.s3.amazonaws]
- CStart (TL→TR): Accept/bind at the seam[ppl-ai-file-upload.s3.amazonaws]
Read by:
- CDo (TR→BR): Drive execution[ppl-ai-file-upload.s3.amazonaws]
- IFinish (TR→BL): Integrate outcomes back into self[ppl-ai-file-upload.s3.amazonaws]
TR means “event/moment” because it’s the only corner touched by both teloi, is public, and causally upstream of both burn and integration.[ppl-ai-file-upload.s3.amazonaws]
R / BL (Resource) — Self-Mosaic Foundation
Written by:
- IFinish (TR→BL): Integrate seam results into self-mosaic[ppl-ai-file-upload.s3.amazonaws]
Read by:
- IStart (BL→TL): Generate/select options from what you have[ppl-ai-file-upload.s3.amazonaws]
BL means “resources/self” because it’s the stable private substrate that generates option space and is rewritten only via seam-mediated integration.10_CYBERNETIC_LOOPS.md+1
M / BR (Metric) — Execution Sink & Refinement Source
Written by:
- CDo (TR→BR): The only burn/execution step[ppl-ai-file-upload.s3.amazonaws]
Read by:
- CFinish (BR→TL): Publish results, refine patterns[ppl-ai-file-upload.s3.amazonaws]
BR means “metric/burn” because it’s the only corner that is the sink of execution, source of refinement, and private (no direct leak except via TL publishing).[ppl-ai-file-upload.s3.amazonaws]
Cybernetic Loops Actualize Meaning Through Feedback
The dual triangles are mediated cybernetic loops with opposite feedback signs:04_DUAL_TRIANGLE_SYSTEM.md+1
Instance Loop (BL→TL→TR→BL): Negative feedback, stabilizing04_DUAL_TRIANGLE_SYSTEM.md+1
- Pulls world feedback into inner self-mosaic (R)
- Error-correcting: adjusts internal model to match reality[ppl-ai-file-upload.s3.amazonaws]
- Creates stable self-mosaics through convergence[ppl-ai-file-upload.s3.amazonaws]
Class Loop (TL→TR→BR→TL): Positive feedback, amplifying04_DUAL_TRIANGLE_SYSTEM.md+1
- Pushes successful execution into shared pattern library (P)
- Success-reinforcing: patterns that reduce H get strengthened[ppl-ai-file-upload.s3.amazonaws]
- Creates stable pattern-mosaics through distillation[ppl-ai-file-upload.s3.amazonaws]
The loops feed each other:[ppl-ai-file-upload.s3.amazonaws]
- Class metrics (BR→TL) become selection criteria for Instance (BL→TL)[ppl-ai-file-upload.s3.amazonaws]
- Instance offers (TL→TR) become event conditions for Class execution[ppl-ai-file-upload.s3.amazonaws]
Recursion Preserves Meaning Via Structural Constraints
Each quadrant stores Names (pointers to other holons, which themselves have P/E/R/M). This creates recursive forests:07_SELF_ORGANISING_TRIE.md+1
- P: patterns composed of patterns
- E: moments composed of moments
- R: capabilities composed of capabilities
- M: activities composed of activities
Yet recursion alone doesn’t collapse meaning—the corner, seam constraint, missing BL↔BR edge, and phase order determine how recursion is interpreted and how it can influence the system.04_DUAL_TRIANGLE_SYSTEM.md+1
The no BL↔BR edge structurally enforces:[ppl-ai-file-upload.s3.amazonaws]
- All effects through public seam → accountability[ppl-ai-file-upload.s3.amazonaws]
- Complete history traceable → auditability[ppl-ai-file-upload.s3.amazonaws]
- Operations safely replayable → idempotence[ppl-ai-file-upload.s3.amazonaws]
- Private domains remain separate → sovereignty[ppl-ai-file-upload.s3.amazonaws]
Formal Grounding: Geometry Forces Uniqueness
The Characterisation Theorem (geom_frag_unique_exact) proves that given the dual-triangle geometry plus extensionality, there is exactly one ZF fragment (six operations: Pow, Sep, Pair, Union, Empty, Repl) that realizes this structure.prod-lean-41.7.txt+1
The Six-Move Normal Form theorem proves the phase order (IStart, IDo, CStart, CDo, CFinish, IFinish) is the only valid linearization of the geometric constraints.[ppl-ai-file-upload.s3.amazonaws]
Doc-Ready Summary
Meaning is topological: in 4QX, the semantics of a reference is not “what it points to” but which corner it inhabits and which seam-respecting edges are permitted to move it. Each quadrant stores Names (addresses to other holons), making meaning recursively populated; yet its role remains stable because the dual-triangle geometry, six-phase discipline, and structural absence of the BL↔BR edge uniquely determine how information can flow and be verified.Meaning.md+1
The geometry doesn’t just represent meaning—it enacts meaning through phase-driven traversal, cybernetic feedback, and convergence to H=0.06_HARMONY_CONVERGENCE.md+2