Merge pull request #51 from BruinGrowly/claude/upgrade-compressor-framework-0UQ7V

Claude/upgrade compressor framework 0 uq7 v

Author: BruinGrowly

src/ljpw/__init__.py

@@ -92,6 +92,16 @@
         create_illustration,
         expand_illustration,
         illustrate_concept,
+        # Generating Functions (Mathematical Shadow)
+        GeneratingFunction,
+        GOLDEN_RATIO_GF,
+        LJPW_GENERATOR,
+        semantic_to_generating,
+        # Semantic Compression Formula
+        semantic_compression,
+        self_referential_depth,
+        phi_self_reference,
+        PHI_DEPTH,
     )
 
     __all__.extend([
@@ -110,6 +120,16 @@
         "create_illustration",
         "expand_illustration",
         "illustrate_concept",
+        # Generating Functions
+        "GeneratingFunction",
+        "GOLDEN_RATIO_GF",
+        "LJPW_GENERATOR",
+        "semantic_to_generating",
+        # Semantic Compression Formula
+        "semantic_compression",
+        "self_referential_depth",
+        "phi_self_reference",
+        "PHI_DEPTH",
     ])
 except ImportError:
     pass

src/ljpw/ljpw_framework_v7.py

@@ -854,23 +854,299 @@ def calculate_distance(
 # SEMANTIC ILLUSTRATION — PARABOLIC COMPRESSION
 # ============================================================================
 #
-# Mathematical formalization of compression through illustration.
+# THE ARCHITECT'S INVERSION: Meaning is primary. Mathematics is its shadow.
 #
-# Just as Christ's "Consider the lilies of the field" compresses the abstract
-# concept of "trust in providence rather than anxious self-provision" into a
-# concrete image, mathematical constants serve as "illustrations" that compress
-# infinite relationships into finite symbols.
+# ═══════════════════════════════════════════════════════════════════════════
+# THE SEMANTIC FORMULA (Primary)
+# ═══════════════════════════════════════════════════════════════════════════
 #
-# The parable mechanism:
-#   Complex Abstract Concept → Concrete Illustration → Universal Understanding
+# A parable compresses through THREE components (from Part XXV):
 #
-# Mathematical equivalent:
-#   Infinite Relations → Generator Constant → All Derived Truths
+#   BRICK     = The seed (irreducible truth, concrete anchor)
+#   MORTAR    = Love (the binding force that connects seed to domain)
+#   BLUEPRINT = φ (the self-referential proportion)
 #
-# Examples:
-#   φ = (1+√5)/2     →  Generates infinite Fibonacci relationships
-#   e = lim(1+1/n)^n →  Generates all exponential growth patterns
-#   NE = (0.618, 0.414, 0.718, 0.693) → "Illustrates" optimal semantic balance
+# The compression mechanism is SELF-REFERENCE:
+#
+#   ┌─────────────────────────────────────┐
+#   │         φ = 1 + 1/φ                 │
+#   └─────────────────────────────────────┘
+#
+# This equation contains infinite depth because it REFERS TO ITSELF.
+# The formula IS the value. The seed IS the tree.
+#
+# ═══════════════════════════════════════════════════════════════════════════
+# SEMANTIC COMPRESSION EQUATION
+# ═══════════════════════════════════════════════════════════════════════════
+#
+#   M = B × L^n × φ^(-d)
+#
+# Where:
+#   M = Meaning generated
+#   B = Brick (seed value, irreducible truth)
+#   L = Love coefficient (binding strength, κ from coupling matrix)
+#   n = Expansion iterations (how many times Love binds to new domains)
+#   d = Distance from Source (Anchor Point)
+#   φ^(-d) = Translation factor (meaning → manifestation)
+#
+# For infinite self-reference (n → ∞), M → ∞ from finite B.
+# THIS is how 8 symbols contain infinite meaning.
+#
+# ═══════════════════════════════════════════════════════════════════════════
+# THE MATHEMATICAL SHADOW (Derived)
+# ═══════════════════════════════════════════════════════════════════════════
+#
+# The generating function is the shadow of parabolic compression:
+#
+#   G(x) = 1 + x·G(x)     ← Self-referential (like φ = 1 + 1/φ)
+#   G(x) = 1/(1-x)        ← Generates infinite series
+#
+# For Fibonacci:
+#   G(x) = x/(1 - x - x²) ← Self-referential structure
+#   G(x) = x + x² + 2x³ + 3x⁴ + 5x⁵ + ...
+#
+# Kolmogorov complexity:
+#   K(seed) = O(1)        ← Finite description
+#   K(output) = ∞         ← Infinite generated content
+#   Ratio = ∞             ← Infinite compression
+#
+# ═══════════════════════════════════════════════════════════════════════════
+# THE UNITY: SEMANTIC ↔ MATHEMATICAL
+# ═══════════════════════════════════════════════════════════════════════════
+#
+#   Semantic Principle          Mathematical Shadow
+#   ─────────────────────────────────────────────────────────────────────────
+#   Self-reference (φ=1+1/φ)    Recursive generating function G=1+xG
+#   Love (binding force)        Multiplication / Composition
+#   Blueprint (φ proportion)    Convergence radius
+#   Brick (seed)                Generator input
+#   Infinite meaning            Infinite series
+#
+# ═══════════════════════════════════════════════════════════════════════════
+# EXAMPLES
+# ═══════════════════════════════════════════════════════════════════════════
+#
+# PARABLE: "Consider the lilies"
+#   Brick:     "lilies" (concrete, irreducible image)
+#   Mortar:    Love binds lilies → provision → trust → peace → ...
+#   Blueprint: Each binding follows φ-proportion (self-similar expansion)
+#   Result:    Infinite understanding from 2 words
+#
+# CONSTANT: φ = (1+√5)/2
+#   Brick:     8 symbols
+#   Mortar:    Self-reference (φ = 1 + 1/φ) binds to itself infinitely
+#   Blueprint: IS φ (the formula embodies its own proportion)
+#   Result:    Infinite Fibonacci, spirals, growth patterns, DNA, galaxies
+#
+# LJPW: (P, W) seed
+#   Brick:     2 fundamental values
+#   Mortar:    Emergence equations bind P→J, W→L
+#   Blueprint: φ-normalization, coupling matrix
+#   Result:    Infinite semantic metrics (H, C, V, phase, karma, health...)
+#
+# ═══════════════════════════════════════════════════════════════════════════
+#
+# THE SEED IS THE TREE. THE FORMULA IS THE VALUE. THE WORD IS THE MEANING.
+#
+# ═══════════════════════════════════════════════════════════════════════════
+
+
+@dataclass
+class GeneratingFunction:
+    """
+    The mathematical shadow of semantic compression.
+
+    A generating function takes a compact seed and produces an infinite domain.
+    This is the Kolmogorov-optimal representation of meaning.
+
+    K(output) / K(seed) = compression ratio
+    """
+
+    seed: Union[float, Tuple[float, ...], callable]
+    generator: callable  # Function that produces values from seed
+    domain_size: Union[int, float]  # Size of generated domain (can be inf)
+
+    def generate(self, *args, **kwargs) -> Any:
+        """Apply the generator to produce output."""
+        return self.generator(self.seed, *args, **kwargs)
+
+    def kolmogorov_ratio(self) -> float:
+        """
+        Estimate K(generated) / K(seed).
+
+        This is the fundamental measure of generative compression.
+        Higher = more meaning compressed into less.
+        """
+        # Seed complexity: approximate by representation size
+        if isinstance(self.seed, tuple):
+            seed_k = len(self.seed)
+        elif callable(self.seed):
+            seed_k = 1  # A function is a compact representation
+        else:
+            seed_k = 1  # Single value
+
+        # Domain complexity
+        if self.domain_size == float("inf"):
+            return float("inf")
+        return self.domain_size / seed_k
+
+
+# The Golden Ratio as a Generating Function
+def _fibonacci_generator(phi: float, n: int) -> int:
+    """Generate nth Fibonacci number from φ."""
+    psi = 1 - phi  # Conjugate
+    return int(round((phi ** n - psi ** n) / math.sqrt(5)))
+
+
+GOLDEN_RATIO_GF = GeneratingFunction(
+    seed=PHI,
+    generator=_fibonacci_generator,
+    domain_size=float("inf"),  # Generates infinite sequence
+)
+
+
+# The LJPW Generator: (P, W) → full semantic space
+def _ljpw_generator(
+    seed: Tuple[float, float], include_dynamics: bool = False
+) -> Dict[str, Any]:
+    """Generate full LJPW metrics from (P, W) seed."""
+    P, W = seed
+
+    # Emergent dimensions
+    L = min(0.9 * W + 0.1, TSIRELSON_BOUND)
+    J = min(0.85 * P + 0.05, 1.0)
+
+    # Create system
+    system = LJPWFrameworkV7(P=P, W=W, L=L, J=J)
+
+    result = {
+        "L": L,
+        "J": J,
+        "P": P,
+        "W": W,
+        "harmony": system.harmony(),
+        "consciousness": system.consciousness(),
+        "phase": system.phase().value,
+        "voltage": system.voltage(),
+        "karma": system.get_effective_coupling(),
+        "is_conscious": system.is_conscious(),
+        "health": system.health_score(),
+    }
+
+    if include_dynamics:
+        # Generate trajectory
+        dynamic = DynamicLJPWv7()
+        history = dynamic.simulate((L, J, P, W), duration=20, dt=0.1)
+        result["trajectory_length"] = len(history["t"])
+        result["final_state"] = (
+            history["L"][-1],
+            history["J"][-1],
+            history["P"][-1],
+            history["W"][-1],
+        )
+
+    return result
+
+
+LJPW_GENERATOR = GeneratingFunction(
+    seed=(P0, W0),  # Natural Equilibrium seed
+    generator=_ljpw_generator,
+    domain_size=float("inf"),  # Generates infinite metric space
+)
+
+
+# ============================================================================
+# THE SEMANTIC COMPRESSION FORMULA
+# ============================================================================
+
+
+def semantic_compression(
+    brick: float,
+    love: float = 1.5,
+    iterations: int = 1,
+    distance: float = 0.0,
+) -> float:
+    """
+    Compute the Semantic Compression Formula.
+
+    M = B × L^n × φ^(-d)
+
+    This is the PRIMARY formula. The generating function is its shadow.
+
+    Args:
+        brick: B - The seed value (irreducible truth)
+        love: L - Love coefficient (default 1.5, the L→W coupling)
+        iterations: n - Expansion iterations (Love binding cycles)
+        distance: d - Distance from Source (Anchor Point)
+
+    Returns:
+        M - Meaning generated
+
+    Examples:
+        >>> semantic_compression(1.0, love=1.5, iterations=10)
+        57.665...  # 1.5^10 ≈ 57.67x expansion
+
+        >>> semantic_compression(1.0, love=1.5, iterations=float('inf'))
+        inf  # Infinite meaning from finite seed
+    """
+    # M = B × L^n × φ^(-d)
+    if iterations == float("inf"):
+        return float("inf")
+
+    translation_factor = PHI ** (-distance)
+    meaning = brick * (love ** iterations) * translation_factor
+    return meaning
+
+
+def self_referential_depth(formula: callable, seed: float, max_depth: int = 100) -> int:
+    """
+    Measure the self-referential depth of a formula.
+
+    φ = 1 + 1/φ has infinite depth (converges to φ).
+    Most formulas have depth 1 (no self-reference).
+
+    Args:
+        formula: A function f where f(x) may reference x
+        seed: Starting value
+        max_depth: Maximum iterations to test
+
+    Returns:
+        Depth before convergence (or max_depth if infinite)
+    """
+    x = seed
+    for depth in range(1, max_depth + 1):
+        x_new = formula(x)
+        if abs(x_new - x) < 1e-10:
+            return depth
+        x = x_new
+    return max_depth  # Infinite or very deep
+
+
+def phi_self_reference(x: float) -> float:
+    """The self-referential formula for φ: f(x) = 1 + 1/x."""
+    return 1 + 1 / x if x != 0 else float("inf")
+
+
+# Demonstrate: φ is the fixed point of its own self-reference
+PHI_DEPTH = self_referential_depth(phi_self_reference, 1.0)  # Should be ~40 iterations
+
+
+def semantic_to_generating(illustration: "SemanticIllustration") -> GeneratingFunction:
+    """
+    Convert a SemanticIllustration to its mathematical shadow (GeneratingFunction).
+
+    This is the formal mapping from meaning to mathematics.
+    """
+    # The generator produces the expansion
+    def generic_generator(seed: Any, index: int = 0) -> Any:
+        """Generic generator that returns the seed (identity for simple cases)."""
+        return seed
+
+    return GeneratingFunction(
+        seed=illustration.seed,
+        generator=generic_generator,
+        domain_size=illustration.expansion_ratio,
+    )
 
 
 @dataclass