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Author: KeithLuton

ai_studio_code.py

@@ -0,0 +1,53 @@
+import math
+
+def calculate_scaling_hierarchy(k_values):
+    """
+    Calculates the geometric scaling based on base-4 topology (4^-k).
+    Pins the 'Gravitational' layer at k=66.
+    """
+    results = {}
+    
+    for k in k_values:
+        # The scaling factor
+        magnitude = 4**(-k)
+        
+        # Base-2 equivalent (Holographic/Area scaling)
+        # 4^-k = (2^2)^-k = 2^-2k
+        binary_magnitude = 2**(-2*k)
+        
+        results[k] = {
+            "base_4_magnitude": magnitude,
+            "base_2_magnitude": binary_magnitude,
+            "approx_power_10": math.log10(magnitude)
+        }
+        
+    return results
+
+def verify_dirac_coincidence():
+    """
+    Verifies if k=66 aligns with the Dirac Large Number (approx 10^-40).
+    """
+    k_gravity = 66
+    gravity_scaling = 4**(-k_gravity)
+    
+    print(f"--- Pinning Gravity at k={k_gravity} ---")
+    print(f"Scaling Factor (4^-{k_gravity}): {gravity_scaling}")
+    print(f"Log10 Value: {math.log10(gravity_scaling)}")
+    
+    # Comparison with Standard Dirac Number (approx 10^-40 to 10^-41)
+    # This represents the ratio of Gravitational force to Electric force
+    print(f"\nDoes this match the Dirac Large Number?")
+    if -41 < math.log10(gravity_scaling) < -39:
+        print("YES. The geometric integer k=66 correctly predicts the 10^-40 scale.")
+    else:
+        print("NO. The scale is off.")
+
+if __name__ == "__main__":
+    # Check the hierarchy from unity down to gravity
+    # k=0 (Unity/Strong?), k=3 (EM range?), k=66 (Gravity)
+    hierarchy = calculate_scaling_hierarchy([0, 3, 4, 66])
+    
+    for k, data in hierarchy.items():
+        print(f"k={k}: 10^{data['approx_power_10']:.2f}")
+        
+    verify_dirac_coincidence()