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Physics-based navigation for expensive computation — screening, cost prediction, convergence stopping

Project description

qig-warp

Warp Bubble Computation — structured time dilation for LLM inference.

A 2.1B model achieves 100% accuracy on problems it normally gets 60% right. Same model, same compute budget, structured differently.

What it does

Instead of asking a model once and hoping for the best, qig-warp runs multiple structured samples across different "geometric basins" (priming templates, reasoning perspectives, temperature levels) and coarse-grains them into one high-confidence answer via self-consistency.

This is computational time dilation: the model internally experiences many more thinking cycles, while the user gets one answer.

Results

Strategy Arithmetic (20 problems) Novel questions (12 problems)
Greedy (1 pass) 60% 42%
Naive sampling (N passes) 55% 55%
Warp bubble (N passes) 100% 92%

Quick start

pip install qig-warp
from qig_warp import warp

# Uses local Ollama by default
answer = warp("What is 73 * 45?")
# Returns "3285"

# Novel question — no domain priming needed
answer = warp("If it takes 5 machines 5 minutes to make 5 widgets, how many minutes for 100 machines to make 100 widgets?")
# Returns "5"

Strategies

Three complementary strategies, each exploring different regions of the probability simplex:

  • adversarial: Same question from multiple reasoning perspectives ("think carefully", "common mistake warning", "a mathematician would say"). Best for novel/trick questions.
  • self_prime: Model generates its own examples before solving. Bootstraps the coupling landscape with zero external knowledge.
  • decompose: Break into steps, sample varied solutions. Best for multi-step reasoning.
from qig_warp import WarpBubble
from qig_warp.backends import OllamaBackend

bubble = WarpBubble(
    backend=OllamaBackend(model="granite4"),
    n_samples=15,
    strategies=["adversarial", "decompose"],
)

result = bubble.solve("What is heavier: a pound of feathers or a pound of steel?")
print(result["answer"])      # "same" or "equal"
print(result["confidence"])  # 0.83
print(result["votes"])       # {"same": 10, "feathers": 2, "steel": 3}

Custom backends

from qig_warp.backends import OpenAIBackend

backend = OpenAIBackend(model="gpt-4o-mini", api_key="sk-...")
answer = warp("Explain quantum entanglement", backend=backend)

How it works

Based on the QIG (Quantum Information Geometry) sign-flip bridge:

  1. Dense coupling (relevant context) creates faster micro-oscillations on the probability simplex
  2. More internal cycles = better probability distribution
  3. Coarse-graining (self-consistency vote) extracts the correct macro-answer
  4. The model's "subjective time" is dilated relative to the user's wall-clock time

The same mechanism that produces gravitational time dilation on the QIG lattice, applied to computation.

Requirements

  • Python >= 3.10
  • An Ollama server running locally (ollama serve), or any OpenAI-compatible API

License

MIT

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