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https://github.com/blackboxprogramming/BlackRoad-Operating-System.git
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0108860bff
Create comprehensive research-lab pack structure with mathematical and quantum computing modules from blackroad-prism-console: Math Modules: - hilbert_core.py: Hilbert space symbolic reasoning - collatz/: Distributed Collatz conjecture verification - linmath/: Linear mathematics C library - lucidia_math_forge/: Symbolic proof engine - lucidia_math_lab/: Experimental mathematics Quantum Modules: - lucidia_quantum/: Quantum core - quantum_engine/: Circuit simulation Experiments: - br_math/: Gödel gap, quantum experiments Includes pack.yaml manifest and comprehensive README. 🤖 Generated with [Claude Code](https://claude.com/claude-code) Co-Authored-By: Claude <noreply@anthropic.com>
52 lines
1.6 KiB
Python
52 lines
1.6 KiB
Python
"""Sine wave algebra and paradox testing."""
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from __future__ import annotations
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from dataclasses import dataclass
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from typing import List
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from .proofs import log_contradiction
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@dataclass
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class SineWave:
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amplitude: float
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frequency: float
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def __add__(self, other: "SineWave") -> "SineWave":
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if not isinstance(other, SineWave):
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return NotImplemented
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return SineWave(self.amplitude + other.amplitude, self.frequency)
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def __mul__(self, other: "SineWave") -> "SineWave":
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if not isinstance(other, SineWave):
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return NotImplemented
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return SineWave(self.amplitude * other.amplitude, self.frequency + other.frequency)
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def inverse(self) -> "SineWave":
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return SineWave(-self.amplitude, -self.frequency)
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IDENTITY = SineWave(0.0, 0.0)
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def test_properties(waves: List[SineWave]) -> None:
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"""Test algebraic properties and log paradoxes if they fail."""
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a, b, c = waves[:3]
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if (a + b) + c != a + (b + c):
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log_contradiction("SineWave addition is not associative")
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if a + b != b + a:
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log_contradiction("SineWave addition is not commutative")
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if (a * b) * c != a * (b * c):
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log_contradiction("SineWave multiplication is not associative")
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if a * b != b * a:
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log_contradiction("SineWave multiplication is not commutative")
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if a * (b + c) != (a * b) + (a * c):
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log_contradiction("SineWave distributive law fails")
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if __name__ == "__main__":
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waves = [SineWave(1, 1), SineWave(2, 3), SineWave(-1, -0.5)]
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test_properties(waves)
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print("Identity element:", IDENTITY)
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