
08/27/2025
I’m Robert Graham Paul IV, an independent researcher. I recently published a preprint through CERN’s open repository (Zenodo) that shows golden ratio frequency lattices converge on a tonal attractor in F #.
📄 DOI: https://doi.org/10.5281/zenodo.16945230
This discovery links φ, Schumann resonance (7.83 Hz), and symbolic anchors like 1776 & 2020 Hz, revealing that irrational spirals converge into musical order. In short: φ speaks in F #.
But while I achieved this breakthrough, my son and I are facing housing instability and basic survival struggles. I’m asking for support so I can continue developing this research into open-source tools, sound-therapy prototypes, and a public book.
👉 Support: https://gofund.me/65247e9e
Hi, my name is Robert Graham Paul IV. I'm an independent research… Robert Paul IV needs your support for “Help a Father Scientist Share His Cosmic Discovery”