from __future__ import annotations from dataclasses import dataclass import numpy as np @dataclass class OmegaConfig: alpha_0: float = 1 / 137.035 phase_scale: float = 800.0 security_scale: float = 300.0 n_harmonics: int = 4 def alpha_to_label(alpha: float) -> str: alpha_0 = 1 / 137.035 alpha_physical = 1 / 137.035999 if abs(alpha - alpha_0) < 5e-7: return "Nominal" if abs(alpha - alpha_physical) < 5e-7: return "Physical" return "Perturbed" class HolographicMasterCodeTransformer: """ Lightweight physics-inspired model for demo use. It is intentionally simple so it runs fast inside a Hugging Face Space. """ def __init__(self, config: OmegaConfig | None = None): self.cfg = config or OmegaConfig() self.alpha_0 = self.cfg.alpha_0 rng = np.random.default_rng(42) self.harmonic_weights = rng.normal(size=(self.cfg.n_harmonics, 8)).astype(np.float32) def forward(self, x: np.ndarray, alpha: float): x = np.asarray(x, dtype=np.float32) h = np.tanh(x @ np.eye(x.shape[-1], dtype=np.float32)) delta_phi = 2 * np.pi * (alpha - self.alpha_0) * self.cfg.phase_scale security = float(np.exp(-self.cfg.security_scale * abs(alpha - self.alpha_0))) psi = np.zeros_like(h) for n in range(self.cfg.n_harmonics): psi += self.harmonic_weights[n] * np.cos(h * (n + 1) + delta_phi * (n + 1)) combined = h + 0.35 * psi * security pred = combined.mean(axis=-1, keepdims=True) return pred, psi, security, delta_phi def synthetic_loss_curve(alpha_value: float, epochs: int = 150): """ Simulates a smooth loss curve. Near alpha_0, the curve is slightly better. This is for visualization only; it is not a training result. """ cfg = OmegaConfig() alpha_dev = abs(alpha_value - cfg.alpha_0) alpha_quality = np.exp(-25000.0 * alpha_dev) t = np.arange(epochs, dtype=np.float32) base = 0.65 * np.exp(-t / (epochs / 5.0)) + 0.03 oscillation = 0.02 * np.sin(t / 8.0) * (1.0 - 0.7 * alpha_quality) noise = 0.005 * np.exp(-t / (epochs / 3.0)) losses = np.maximum(0.0, base + oscillation + noise * (1.0 - alpha_quality)) regs = 0.12 * np.exp(-t / (epochs / 2.0)) + 0.02 * (1.0 - alpha_quality) return losses, regs