Episode Details

A few days ago, I published the shorter audio discussion of my research paper here on Substack. Today I’m sharing something different — a full video presentation of the work, with narration, visuals, and slides.

This is the most complete visual introduction to the Silver Ratio Harmonic Framework I’ve produced so far. In just over 13 minutes, the video walks through:

* Why four centuries of attempts to find a mathematical law for planetary spacing failed — from Kepler’s nested Platonic solids to the Titius-Bode law

* How the geometry of the Celtic Cross generates the Silver Ratio — a single foundational constant that organises the entire Solar System

* The Harmonic Staircase — a precise ladder of orbital radii from Mercury to Pluto, each defined by a rational function of δS.

* The prediction of a missing body at 2.14 AU — and the three independent mathematical convergences that confirm it.

* The Neptune Inversion — why a mass at 2.14 AU causes Neptune’s residual error to cross zero.

* The falsifiability tests — what Gaia, James Webb, and exoplanet surveys could tell us.

No prior mathematical background is required. If you’ve been curious about the research but found the paper dense, this is the place to start.

The slide deck is attached below as a PDF — free to download, share, and use for educational purposes with attribution.

A note on the slides: this deck was generated using NotebookLM's presentation tool from my research paper, then reviewed and corrected for mathematical accuracy — including the precise formulation of the harmonic constants, the rational function expressions for each planetary orbit, and the transcendental convergence at π^(2/3). The geometry diagram was also revised to accurately reflect the Celtic Cross construction. The content is faithful to the published paper.

📄 Accessibility

The full research paper is available open access on Zenodo: https://doi.org/10.5281/zenodo.18816002

Scala Harmonica: The Geometry of Planetary Resonance is available via the author’s website: https://salaheddingherbiauthor.com/books

The pattern was always there. The cross was the key.

☕ Support This Work

If you found this interesting, you can support this work by buying me a coffee. It helps me keep exploring ideas that bridge ancient knowledge with collective wisdom.

📣 Let’s Discuss

* Could a lost planet once have orbited at 2.14 AU?

* Is the silver ratio whispering something about the order of the cosmos?

* If this pattern holds in our Solar System, might it appear elsewhere?

Share your thoughts in the comments. I’d love to hear them.

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