🌐 Welcome to My Mathematical Exploration
I am on a mission to uncover the hidden harmonies of mathematics, revealing how prime numbers, quantum systems, and recursive structures are deeply connected. This site is where I share my discoveries, models, and insights — blending advanced mathematics with AI-enhanced precision.
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Prime Dynamics: Recursive Patterns and Harmonic Clustering
- I have developed a recursive prime model revealing how primes align in fractal patterns
- My work on twin prime clustering uses Fourier analysis to uncover hidden harmonic patterns
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Quantum Systems: Prime-Modulated Harmonic Oscillators
- I have designed a Quantum Harmonic Oscillator (QHO) where the potential is dynamically shaped by prime gaps
- This connects prime number distributions with quantum wavefunctions, revealing new insights
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Recursive Scaling and Entropy Control
- Using recursive dynamics, I explore how entropy in prime systems is naturally reduced
- This model explains self-stabilizing patterns in prime gaps and fractal scaling
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Unified Harmonic Framework: Modular Resonance
- My work extends to modular harmonic resonance, where prime distributions create periodic, fractal densities
- This approach bridges prime number theory, quantum mechanics, and fractal geometry
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Why This Matters:
My unified mathematical framework is more than just a collection of theories — it is a new way of seeing how number theory, quantum systems, and fractals are interconnected.