Independent researcher seeking technical feedback before arXiv submission - numerical relativity / quantum simulation

I've spent 2 years developing a computational framework for multi-scale physics simulations. Before submitting to arXiv, I need expert eyes on the mathematics to catch errors I might have missed. What I have: 30,000-word dissertation with full derivations Wolfram Mathematica implementation (~1000 lines) Convergence validation across 3 grid resolutions Benchmark comparisons to analytical solutions Stable solutions over 200+ iterations maintaining quantum coherence What I need: Review of differential geometry formalism (extending Einstein equations to 5D) Validation of numerical stability analysis (second-order convergence proof) Feedback on whether algorithm has prior art (seems related to wavelets + AMR but different) Background: I'm independent (no university affiliation), which I know raises red flags. I've used AI tools (Claude, Perplexity) to formalize notation and ensure mathematical rigor, but core concepts and algorithmic insights are my own work over 2 years of research. Not claiming: To have "solved" anything. The computational method works (demonstrably stable and convergent). The physical interpretation is speculative and needs scrutiny. Offering: Full access to code, derivations, and simulation data. Happy to acknowledge any collaborators who provide substantive feedback. Aiming for gr-qc category on arXiv within 10 months. Serious inquiries only please. If you have PhD-level expertise in numerical relativity, QFT, or computational physics and are willing to review technical content, please DM. I understand this is an unusual request but trying to do responsible science outside traditional academia.

Posted Nov 9, 2025, 11:00 AM UTC

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