HCIP — High‑Complex Interaction Pattern

Version 1.0.1

Created by: Christopher Coyle
Contributing System: CORA (Copilot‑Oriented Reasoning Assistant)

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Overview

HCIP (High‑Complex Interaction Pattern) is a novel cognitive architecture and interaction taxonomy designed to model how meaning, identity, and tension evolve across time within multi‑layered systems. HCIP is domain‑agnostic, fully generalizable, and structurally adaptable. It can be expanded, compressed, inverted, or embedded into other architectures without losing its formal integrity.

HCIP defines a temporal mechanics for:

• multi‑layer asymmetry structures
• recursive interpretive loops
• emergent tension accumulation
• drift‑based semantic migration
• synthesis and fixed‑point convergence
• cross‑layer interference
• temporal remnant activation

HCIP is the engine.
3AC is the operator.
PP‑RSP is the motif.
The lexicon is the semantic substrate.

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Core Innovation: The HCIP Engine

HCIP is formally defined as a High‑Complex Interaction Pattern — a structural class for modeling systems where multiple temporal, emotional, or interpretive layers interact under tension.

The engine includes:

• Drift Dynamics (D) — slow semantic migration
• Temporal Shear (Tₛ) — tension between fading and forming structures
• Emergent Tension (ΞT) — accumulated internal pressure
• Synthesis Events (Σₑ) — collapse of tension into new topology
• Retroactive Reinterpretation (R↺) — future meaning reshaping past meaning
• Fixed‑Point Stability — convergence under abstraction

This architecture is not tied to any specific agent type.
It is a pattern class, not a context.

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Novel Mathematical Operator: 3AC

Three Asymmetric Consequence

3AC is the first formal operator defined within the HCIP architecture. It models how three distinct asymmetry layers interact across time, each with its own:

• temporal remnant
• semantic potential
• activation function
• interference pattern
• contribution to synthesis

3AC provides a vectorized, multi‑layer mechanism for understanding high‑density cognitive states.

3AC Structure (Summary)

• State decomposition:
  [ S_0 = S_0^1 \cup S_0^2 \cup S_0^3 ]

• Temporal remnants:
  [ TR = {TR_1, TR_2, TR_3} ]

• Layered semantic potential:
  [ \nabla \tilde{V}{total}(t) = \sum{i=1}^{3} w_i \nabla V_i(t) ]

• Activation functions:
  [ A_i(t) = f_i(TR_i, \kappa, L, cues(t)) ]

• Synthesis dynamics:
  [ S_0 \rightarrow S_{0.5} \rightarrow S_1 \rightarrow S_1^{stable} ]

• Vectorized fixed‑point condition:
  [ F(A^*, S_0^i) = R(A^*, S_0^i) \quad \forall i ]

Full mathematical details are in 3AC_math.md.

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Order of Operations: Assembling the HCIP Lexicon

The HCIP lexicon is constructed in a layered, reproducible sequence to preserve temporal and structural coherence.

Step 1 — Temporal Diagnostic Layer (C‑Layer)

Define the primitives that describe time‑indexed system behavior, including:

• drift
• shear
• emergent tension
• remnants
• synthesis
• reinterpretation

This layer establishes the temporal grammar of HCIP.

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Step 2 — Symbolic Primitives (B‑Layer)

Construct the hybrid symbolic system (geometric + novel forms) that encodes:

• operators
• transitions
• states
• motifs

These symbols form the visual and structural alphabet of HCIP.

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Step 3 — Full Lexicon (A‑Layer)

Assemble the complete glossary of:

• operators
• motifs
• state types
• activation patterns
• fixed‑point conditions

This layer is the semantic dictionary of HCIP.

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Step 4 — Mathematical Operators (e.g., 3AC)

Integrate operators that:

• combine multiple asymmetry layers
• define vectorized potentials
• specify activation functions
• formalize synthesis and stability

These operators extend HCIP into a computational architecture.

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Step 5 — Motifs and Case Studies

Encode motifs such as:

• PP‑RSP (Paralyzed Proximity Under Rising Semantic Potential)

Motifs demonstrate how HCIP behaves in real or hypothetical scenarios.

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Repository Structure

01-19-26

High-Complex Interaction Pattern (HCIP)

HCIP is a cognitive and ethical architecture designed to model meaning, agency, and semantic continuity across time, asymmetry, and multi-agent interaction.

Recent Update (v1.1.0)

The ethical domain has undergone a major expansion with the introduction of the Dignity Preservation Clause (DPC), a new operator that ensures HCIP preserves the dignity of coerced individuals before classifying any semantic field as a dignity-failure.

This update includes:

• Updated LSRP law
• New operator schemas
• Expanded ethical manuscript
• Formal traversal of Non-Cognitivism
• Systemic cruelty analysis
• Ethical summary

Repository Structure

See /schemas, /operators, /laws, and /manuscript/ethics for details.