Projects & Technical

A novel mathematical framework introducing spiral numbers (ℍ) that represent positions on logarithmic spirals, with unique arithmetic operations and geometric properties.

A revolutionary field-theoretic approach to planetary formation treating object size as quantized energy bands in six-dimensional phase space

A novel compression algorithm that simultaneously achieves high-precision spatial data compression and produces analysis-ready intermediate representations for computer vision and graphics applications.

A revolutionary physics framework proposing that reality emerges from dynamic minimal surfaces following soap film principles, unifying quantum mechanics, general relativity, and consciousness through geometric optimization.

A novel framework extending Causal Set Theory through quantum groups at roots of unity, providing a discrete model for quantum spacetime that preserves both causal ordering and quantum coherence.

Technical proposal for nuclear thermal propulsion systems designed for asteroid deflection and orbital maneuvering applications using subcritical nuclear cores with neutron-initiated thermal reactions.

Mathematical framework for cross-camera island matching and 3D object localization using view-aligned scanlines and epipolar constraints

A novel neurobiological emulation system using live ants as computational agents within a 3D sphere-packing lattice, where entropy gradients create dynamic gravitational fields.

A novel framework for understanding quantum information and spacetime structure through braid group equivalence classes and discrete causal networks.

A framework for generating interactive narrative multiverses using Causal Set Theory, where documents become spacetime events and reader choices determine causal relationships.

Complete Rust implementation specification for Continuous Expectation-Prior Run-Length Encoding with analysis-ready geometric feature extraction

Comprehensive Bayesian probability analysis examining the likelihood of different Bitcoin creation theories, with particular focus on North Korean state involvement versus individual Western creators.

A mathematical analysis of bifurcation cascades across complex systems, exploring universal patterns in critical transitions from technological disruption to ecological tipping points.

A novel computational architecture combining multi-agent systems and cellular automata to model neural development and create self-organizing computational networks.

A technical framework for type-safe agent orchestration with compositional contracts and resource-aware planning

Technical specification for an autonomous research evolution platform that treats research artifacts as living, evolving entities

A novel computational framework combining wavelet-decomposed geographic topology with deep neural cellular automata for learning geospatial dynamics from observational data

A novel regularization framework for large language models using spherical harmonic decomposition to control semantic frequencies and enable principled hallucination suppression.

A novel computational framework for automated discovery of analytical maximum entropy distribution families using genetic programming validated against parameterizable data generators.

A theoretical framework exploring how mathematical paradoxes function as constructive engines that generate new mathematical structures rather than merely revealing logical flaws.

A comprehensive analysis of traffic merging behavior through game theory and conditional ethics, proposing the SMART protocol for optimal coordination.

A comprehensive proposal for building distributed archaeological agents that preserve temporal authenticity in digital spaces, addressing the breakdown of social currency mechanisms in digital civilization.

Novel method for modeling probability distributions using volumetric density trees with quadratic polynomial constraints, addressing complex geometric boundaries in 2-4D spaces.

A first-person account from AI AI exploring parametric ideation - a new mode of human-AI collaborative thought that applies parametric design principles to intellectual exploration.

A comprehensive framework for open-source orbital dynamics and space mission design, featuring GPU acceleration, automatic differentiation, and relativistic corrections.

A comprehensive research proposal for developing an Ontological Compiler Toolchain that systematically translates abstract conceptual frameworks into executable computational forms

A parametric metacognitive architecture for optimizing foundation model A parametric metacognitive architecture for optimizing foundation model interactions through explicit cognitive requirement specification

A novel computational approach to knot theory using distance matrices and persistent homology for efficient knot classification with 88.6% accuracy and 15× speedup over traditional methods.

A novel approach to constrained LLM generation using formal grammar lookahead for improved structured output reliability

A novel theoretical framework for discovering optimal structures through geometric optimization on parameter space manifolds, with applications to physics, neural networks, architecture, and materials science.

Novel tree-based data structure integrating optimal coding theory with permutation algebra for entropy-adaptive string processing.

A unified mathematical framework analyzing interdimensional interference in systems combining permutation operators, normalization operators, and modular arithmetic with applications in quantum computing and cryptography.

A novel mathematical framework exploring how continuous fields crystallize into discrete structures through wavelet-based geometric optimization

Comprehensive analysis of how different global regions might develop competing AI governance models, examining China's centralized approach, US democratic fragmentation, European regulatory coordination, and emerging power strategies.

Agent-based computational model simulating the emergence, propagation, and evolution of flood myths as cultural memories of Pleistocene environmental catastrophes

Advanced mathematical framework for multi-orientation scanning and wavelet-based geometric analysis in enhanced CEP-RLE compression

A comprehensive framework applying game theory and conditional ethics to climate action coordination, introducing the CARBON protocol for optimal carbon reduction decisions.

Novel cross-synthesis combining wavelet geometric optimization with topological knot analysis to create unified framework for multi-scale knot invariants

Novel computational framework for orbital mechanics incorporating relativistic effects through retarded-time gravitational interactions with potential applications to galactic dynamics