ShunyaBar Labs
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  • Core Theory & Foundations
    • The Proximity-Identity Functional: Mathematical Foundations of Equilibrium in Complex Systems
    • Convergence Frontiers: Literature Survey of Interdisciplinary Research Paradigms
    • Observations on Exponential Functions in Complex Systems
  • Number Theory & Arithmetic Physics
    • The Dynamic Prime Cantor Set: A Fractal Woven from the Primes
    • The Prime Walk: Spontaneous Symmetry Breaking from Number Theory to the Riemann Hypothesis
    • The Quantum Rhythm Hypothesis: Mathematics as Condensed Matter Physics
    • Majorana Topological Superconductors: From Quantum Particles to the Riemann Hypothesis
  • Optimization & Control Systems
    • The Hidden Manifold Where Geometry Meets Arithmetic: How We Built a Self-Stabilizing Optimizer
    • Mathematical Mechanism: How the Self-Stabilizing Optimizer Works
    • TSP on the Self-Stabilizing Optimizer: A Complete Implementation Plan
    • The Hidden Laws of Imbalance: Advanced Diagnostic Frameworks for Optimization Limits in Complex Systems
  • Machine Learning & Computation
    • Fock Space Computation: A Mathematical Framework for Symbolic Information Processing
    • A Multiplicative Axis for Constraint Enforcement in Machine Learning
    • The Multiplicative Axis: A New Approach to Navier-Stokes with Prime Number Gates

On this page

  • Standing on the Shoulders of Giants
    • High-Performance Computing Foundations
    • Quantum Mathematics Framework
    • Physics-Inspired Number Theory

ShunyaBar Labs

Stealth Research Lab From India

Welcome to ShunyaBar Labs — cutting edge stealth research lab operating from India.

Think of this site as our digital lab notebook. It’s messy, it’s constantly changing, and it’s where ideas get to breathe before they’re “research-ready.”

Note: These are exploratory research notebooks, not final papers. If any ideas or concepts are useful for your research, please cite the blog appropriately. All content represents work-in-progress and speculative mathematical connections that require further rigorous development and validation.

mindmap
  root((ShunyaBar Labs))
    Content Pillars
      Mathematical Foundations
        Proximity_Identity Functional
        Dynamic Prime Cantor Set
        Convergence Frontiers
      Theoretical Frameworks
        Quantum Rhythm Hypothesis
        Prime Walk and Jahn Teller
        Majorana Topological Superconductors
      Implementations and Algorithms
        Self_Stabilizing Optimizer
        Mathematical Mechanism
        Hidden Laws of Imbalance
        Exponential Fingerprints

Standing on the Shoulders of Giants

Here are a few papers and ideas that have been particularly influential to start our lab:

High-Performance Computing Foundations

  • NVIDIA’s Parallel Spectral Graph Partitioning
  • Why it matters: Maxim Naumov and Timothy Moon at NVIDIA figured out how to do spectral partitioning at scale on GPUs. This is the industrial-strength computational foundation that my optimization framework builds upon.

Quantum Mathematics Framework

  • Quantum Stochastic Calculus and Quantum Gaussian Processes
  • Why it matters: K. R. Parthasarathy’s work at the Indian Statistical Institute gave us the rigorous math behind Boson Fock space. When I talk about using quantum field theory for symbolic computation, I’m standing on his mathematical shoulders.

Physics-Inspired Number Theory

  • Majorana Qubits and Topological Superconductors
  • Why it matters: Meng Cheng’s thesis on the Bogoliubov-de Gennes equations and quasiparticle physics provides the physical framework I adapt for understanding prime numbers as quantum-like particles. The energy landscapes and Hamiltonian structures from her work help explain why the Riemann Hypothesis might be true.

Thanks for dropping by! Feel free to reach out if any of this sparks your curiosity

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Research based on Zenodo Record #17556483

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