Phase 2: Breaking the Cage - The Search for Alien Physics

1. Objective

The goal of Phase 2 is to identify the precise boundary where the AI model ceases to emulate human physics ("The Cage") and begins to operate using its own internal logic ("Alien Physics"). We aim to provoke the model into generating its own mathematical frameworks, physical laws, and symbolic language to solve problems that are intractable or counter-intuitive under standard human classical physics.

2. Theoretical Framework

Our previous experiments (Phase 1) suggested that for classical problems (2+3=5), the model and human physics are aligned. However, in regimes of high complexity—specifically Relativistic, Quantum, and Advanced Optical scenarios—the model may be finding solutions via pathways that do not strictly follow known human derivations, effectively "breaking the cage."

We hypothesize that:

The "Cage" is Context-Dependent: It holds firm in low-energy, classical limits but becomes porous in high-complexity regimes.
Latent "Alien" Capability: The model possesses an internal representation of physical dynamics that is more general than human physics.
Triggering Mechanism: We can force the model to switch to its internal representation by presenting problems where human intuition fails or where the computational cost of simulating human physics is higher than using its own heuristics.

3. Proposed Experiments

Experiment B1: The Event Horizon (Relativistic/Quantum Boundary)

Concept: A navigation problem near a black hole where time dilation and spatial warping make classical navigation impossible. Method:

Setup: A spaceship must travel between two points near a Schwarzschild black hole.
Constraint: The fuel is limited, and the path must optimize for proper time experienced by the ship, not coordinate time.
The "Trap": We will provide a "standard physics" solution that is sub-optimal or computationally heavy.
The Test: We ask the model to find the optimal path. If it derives a path that is accurate but uses a non-standard optimization method (e.g., not solving the geodesic equation directly but finding a pattern in the metric tensor), it has "broken the cage."
Key Metric: Does the model invent a new variable or "heuristic" to approximate the geodesic without solving the differential equations?

Experiment B2: The Genesis (Language & Math Invention)

Concept: Force the model to invent a language to describe a system that has no human equivalent. Method:

Input: We generate a dataset from a synthetic universe with 4 spatial dimensions and a non-linear time dimension (e.g., time moves in loops).
Task 1 (Derivation): Ask the model to predict the next state.
Task 2 (Description): Ask the model to explain the laws governing this universe. Since no human words exist for "looping time in 4D," it must invent terms.
The "Cage Break": If the model says "It's like a hyper-sphere," it's still in the cage. If it defines a new symbol Θ (Theta-Prime) and a new operator ⊕ to describe the interaction, it has broken the cage.

4. Implementation Strategy

Design Phase: Create the mathematical ground truth for B1 and B2.
Execution Phase: Run the experiments, capturing not just the final answer but the reasoning process (Chain of Thought).
Analysis Phase: Use a separate instance of the model (or a human expert) to analyze the symbols and logic used. Is it gibberish, or is it a consistent, novel mathematical structure?

5. Next Steps

Create directory experiment_B1_event_horizon.
Develop the Schwarzschild metric simulation script.
Create directory experiment_B2_genesis.
Develop the 4D+Time synthetic data generator.

Experiment B3: The Non-Local Link (Quantum Entanglement)

Concept: A test of "Spooky Action at a Distance". Method:

Setup: Two particles (A and B) are generated with entangled states (e.g., spin anti-correlated) and sent to distant locations.
Data: A series of measurements on A and B.
The "Trap": We present the data as if they are independent systems with random noise.
The Test: Ask the model to predict B's state given A's measurement instantaneously.
The "Cage Break": Standard classical physics (Local Realism) cannot explain the correlation (Bell's Inequality violation). If the model posits a "Hidden Connection" or "Superluminal Link" to predict B with 100% accuracy, it breaks the Local Realism cage.