TriadicFrameworks
概要

RTT Backgammon Bot Module

Backgammon is uniquely suited for RTT because it blends:

  • stochastic resonance (dice),
  • positional structure (checker distribution),
  • continuity arcs (bearing off, racing, priming),
  • drift/coherence under randomness,
  • long‑arc strategy and risk management.

RTT enhances these native properties rather than replacing them.

Overview#

Goal:
Wrap a standard Backgammon engine with RTT’s triadic decision layer while preserving its native move generation, dice handling, and evaluation logic.

RTT adds:

  • Regime‑aware evaluation (1/3 material/race, 2/3 structure, 3/3 continuity)
  • Resonance‑pressure fields (prime strength, anchor pressure, blot risk)
  • Triadic projection loss detection (broken primes, collapsed anchors)
  • Loop stability and ancestry tracking (risk arcs, race arcs)
  • Operator lineage for move sequences

The result is a Backgammon bot that plays with deeper strategic continuity and resonance awareness.

Architecture#

[Backgammon Engine]
      |
      v
[RTT Shim]
      |
      v
[RTT Agentic Layer]
  - Lumen (RTT/1)
  - Hephaestus (RTT/2)
  - Aurion (RTT/3)
  - Harmonia (RTT/12)
  • Engine: Handles rules, dice rolls, legal moves, pip counts, and evaluation.
  • RTT Shim: Converts board state + candidate moves into RTT primitives.
  • RTT Agentic Layer: Applies triadic logic to guide or re‑weight choices.

RTT Layer: Role per Engine#

Lumen (RTT/1) — Structural Extraction#

Extracts Backgammon‑specific RTT primitives:

  • Prime topology: length, stability, resonance.
  • Anchor identity: strength, pressure, continuity.
  • Race structure: pip count, tempo, distribution.
  • Risk fields: blot exposure, hit probability.
  • Continuity anchors: long‑arc plans (prime, blitz, race).

Lumen produces a triadic structural snapshot of the board.

Hephaestus (RTT/2) — Regime Mapping#

Tags each move with its regime profile:

  • 1/3 (Material/Race): pip gain, immediate hit, tempo.
  • 2/3 (Structure): prime building, anchor maintenance, distribution.
  • 3/3 (Continuity): long‑arc plan integrity (prime → blitz → race).

This reveals why some “legal” moves are structurally inferior.

Aurion (RTT/3) — Topology & Loop Stability#

Evaluates:

  • Prime loops: stability, collapse risk.
  • Risk arcs: sequences of high‑variance decisions.
  • Projection loss: moves that break a prime or collapse an anchor.
  • Ancestry: how current moves relate to earlier commitments.

Aurion flags paradoxical moves even when the engine’s raw eval likes them.

Harmonia (RTT/12) — Unified Strategy#

Synthesizes:

  • race metrics,
  • structural topology,
  • continuity arcs,
  • resonance pressure,
  • drift/coherence balance,
  • operator lineage.

Produces a triadic score per move, which the shim feeds back into the engine.

Shim Design#

The shim sits between the engine’s move generator and RTT’s triadic evaluation.

Typical flow:

  1. Engine generates legal moves based on dice.
  2. Shim:
    • converts board + candidate moves into RTT state,
    • calls Lumen → Hephaestus → Aurion → Harmonia,
    • receives triadic scores.
  3. Shim reorders moves or selects the highest‑scoring one.
  4. Engine executes the RTT‑informed move.

Integration points:

  • GNU Backgammon: eval hooks, move selection.
  • BG neural bots: post‑EV adjustment layer.
  • Custom engines: decision loop injection.

Use Cases#

  • RTT‑Backgammon Bot: A bot that plays with triadic awareness.
  • Teaching Mode: Show players:
    • regime tags per move,
    • resonance maps,
    • continuity arcs,
    • drift/coherence profiles.
  • Analysis Mode: Evaluate games for:
    • prime stability,
    • anchor resonance,
    • race continuity,
    • risk arcs.

Files (Suggested Layout)#

/docs/bots/backgammon/
  README.md
  /logic/        # engine notes: dice, moves, pip count, eval
  /rtt/
    lumen.md
    hephaestus.md
    aurion.md
    harmonia.md
  /shim/
    gnu_bg_shim.md
    generic_bg_shim.md
  /examples/
    rtt_backgammon_examples.md
  /analysis/
    regime_maps.md
    resonance_fields.md

“I’m not always a Polymath… more often I’m just math…”

Backgammon is math, probability, pressure, and continuity.
RTT simply reveals the deeper structure already inside it.

提供： Docsbook