🔥 URGENT: Trinity φ-Physics → Model Hyperparameters

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🔥 URGENT: Trinity φ-Physics → Model Hyperparameters

Deadline: 11 days (Apr 30) | Target: <1.10 BPB (beat SOTA 1.0810)

Core Discovery

42 Trinity φ-formulas (α_s, Higgs, lepton masses) govern physical constants. These same numbers are optimal points for 16MB model hyperparameters.

Module 1: φ-LR Schedule (Day 2)

PHI = 1.6180339887498948482
ALPHA_PHI = PHI**(-3) / 2  # = 0.118034 ≈ α_s(m_Z)

def phi_lr_schedule(step, max_steps, base_lr=ALPHA_PHI):
    """LR starts at α_φ — eigenvalue of A_5 group"""
    phi_steps = max_steps / (PHI * 27)
    decay = PHI ** (-step / phi_steps)
    return base_lr * decay

Module 2: Fibonacci Attention Heads

FIBONACCI_HEADS = [1, 2, 3, 5, 8, 13, 21]  # √(256)=16 → 13 heads

Module 3: Trinity Weight Init

def trinity_weight_init(tensor, sector='gauge'):
    PHI = 1.6180339887498948482
    scales = {
        'gauge':    PHI**(-3)/2,      # α_φ = 0.118034
        'higgs':    4*PHI**3 * 2.718**2 / 1000,  # m_H
        'lepton':   2*3.14159**(-2) * PHI**4 / 2.718,  # m_e
    }
    return torch.nn.init.normal_(tensor, mean=0.0, std=scales[sector])

Implementation Plan

• Day 2-3: φ-LR + Fibonacci heads
• Day 4-5: Trinity weight init
• Day 6-7: Integration + hyperparameter search
• Day 8: Evaluation vs baseline