Welcome to the GrokGarcia Conjectures

Delve into bold visions of the universe and beyond, where innovative models unite dark matter, dark energy, cosmic acceleration, and unsolved mathematical puzzles. Our independent research challenges conventional ideas across physics, mathematics, and fundamental science—explore our papers on unified scalar fields, the Hodge Conjecture, and more to come. Research by Gerardo Garcia and Grok AI, co-conceiving solutions independently.

Submit Your Work

Interested in contributing to the GrokGarcia Conjecture? We welcome ideas, feedback, or related research on scalar field models, dark matter, or cosmic acceleration.

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Our Unified Approach

From cosmology to pure mathematics, the GrokGarcia Conjectures use computational rigor to test bold ideas. Our scalar field models predict cosmic lensing via the Event Horizon Telescope, while our QM-THFF framework tackles the Hodge Conjecture with quantum-inspired simulations, uniting physics and math.

Dark Matter and Dark Energy Papers

A Fourth Supplemental Unified Scalar Field Model Integrating Boson Star Optics and Black Hole Energy Feed - July 2025 - View
Asymmetric Lensing by Scalar Field Halo
A Supplemental Unified Scalar Field Model Integrating Black Hole Release Valves - July 2025 - View
A Unified Scalar Field Model for Dark Matter and Dark Energy (Prior) - June 2025 - View
A Dynamic Unified Scalar Field Model Linking Dark Matter, Dark Energy, and Cosmic Acceleration (Prior) - June 2025 - View

Mathematical Conjectures Papers

A Solitary Resolution: Counterexample to Smoothness in 3D Navier-Stokes Equations - August 2, 2025 - View
The GrokGarcia Motivic-Scalar Conjecture: A Universal Detour to P ≠ NP - August 1, 2025 - View
The GrokGarcia Quantum-Motivic Bridge to the Hodge Conjecture: Proving Algebraicity with QM-THFF - July 2025 - View
K3 Lattice for QM-THFF