The Leanpub 60 Day 100% Happiness Guarantee
Within 60 days of purchase you can get a 100% refund on any Leanpub purchase, in two clicks.
See full terms...
Fractal Uncertainty Theory
From Space and Time to Quarks to the Cosmic Web
Fractal Uncertainty Theory (FUT) — A New Foundation of Physics
Sunflower, quasicrystal, spiral galaxy, cosmic web — they all do the same thing.
What if quantum mechanics, gravitation, the fundamental constants, and the large-scale structure of the universe all follow a single principle? Not as a metaphor — but mathematically derivable, with zero free parameters?
Fractal Uncertainty Theory (FUT) constructs physics from two primitive operations: Rotation (ℛ) and Recursion (ℱ). From their interference emerge π and φ, the four forces as a unified spectrum, the fine-structure constant α = 1/137, the Planck scale, the Schrödinger equation — and six resolved Millennium Problems.
FUT V9 presents across 478 pages and 35 chapters:
- Derivation of fundamental constants from pure geometry (zero free parameters)
- Dark energy and dark matter as consequences of the Void Exponential Feedback mechanism
- Three spatial dimensions + time from icosahedral A₅ symmetry
- The Higgs-centered particle structure as a periodic system
- Rigorously documented progress on Riemann, Yang-Mills, Hodge, P≠NP, and beyond
No speculative model. No retroactively fitted constants. A theory that begins with a thought — and ends with testable predictions.
"Real science begins with a thought, not an equation." — Jens Deutschmann
ISBN 978-3-9828681-0-3 | Available on Amazon KDP
Minimum price
$19.00
$29.00
You pay
Author earns
PDF
About
About the Book
We present a unified framework connecting particle physics, atomic structure, and cosmology through a single mathematical principle: the golden ratio recursion $\phi^2 = \phi + 1$. This relation defines a fundamental fractal dimension $D_\phi = \ln 2/(2\ln\phi) \approx 0.7202$ that governs physical phenomena across 44 orders of magnitude in scale.
We derive the QCD confinement exponent $\alpha = 4D_\phi - 2 = 0.881$ from first principles, agreeing with lattice QCD to 0.1\% with zero free parameters. We establish that the fine structure constant $\alpha_{\rm EM} \approx 1/137$ is not derivable from $\phi$ because it represents a phase boundary -- the critical coupling where $\phi$-structured coherence transitions to statistical behavior.
This paper introduces the R/F spectrum framework, showing that the four fundamental forces emerge as stable regimes of the Rotation-to-Feedback ratio, with the electron occupying the unique equilibrium point $R = F$ that explains why $\alpha = 1/137$.
Feedback
Author
About the Author
Get the free Community Edition
You can get the free Community Edition in PDF or EPUB just by sharing your name and email address with the author, or you can just click this link to read a shorter sample online...
Earn $8 on a $10 Purchase, and $16 on a $20 Purchase
We pay 80% royalties on purchases of $7.99 or more, and 80% royalties minus a 50 cent flat fee on purchases between $0.99 and $7.98. You earn $8 on a $10 sale, and $16 on a $20 sale. So, if we sell 5000 non-refunded copies of your book for $20, you'll earn $80,000.
(Yes, some authors have already earned much more than that on Leanpub.)
In fact, authors have earned over $15 million writing, publishing and selling on Leanpub.
Learn more about writing on Leanpub
Free Updates. DRM Free.
If you buy a Leanpub book, you get free updates for as long as the author updates the book! Many authors use Leanpub to publish their books in-progress, while they are writing them. All readers get free updates, regardless of when they bought the book or how much they paid (including free).
Most Leanpub books are available in PDF (for computers) and EPUB (for phones, tablets and Kindle). The formats that a book includes are shown at the top right corner of this page.
Finally, Leanpub books don't have any DRM copy-protection nonsense, so you can easily read them on any supported device.
Learn more about Leanpub's ebook formats and where to read them
Write and Publish on Leanpub
You can use Leanpub to easily write, publish and sell in-progress and completed ebooks and online courses!
Leanpub is a powerful platform for serious authors, combining a simple, elegant writing and publishing workflow with a store focused on selling in-progress ebooks.
Leanpub is a magical typewriter for authors: just write in plain text, and to publish your ebook, just click a button. (Or, if you are producing your ebook your own way, you can even upload your own PDF and/or EPUB files and then publish with one click!) It really is that easy.