Leanpub Header

Skip to main content

Fractal Uncertainty Theory

From Space and Time to Quarks to the Cosmic Web

Sunflowers, quasicrystals, spiral galaxies, and the cosmic web may reflect the same organizing principle. Fractal Uncertainty Theory V10.1 explores how space, time, matter, and mathematics could emerge from interference, coherence, and recursively evolving, horizon-relative relations—from quantum systems to cosmic structure.

Minimum price

$19.00

$29.00

You pay

Author earns

$

Also available for 1 book credit with a Reader Membership

PDF
About

About

About the Book

What if space, time, matter, and mathematics are not fundamental ingredients of reality, but stable patterns emerging from a deeper process of interference?

Fractal Uncertainty Theory (FUT) develops this possibility from a single organizing idea: everything that persists must maintain coherence within a recursively evolving network of relations. From this starting point, the book constructs a unified framework connecting quantum mechanics, particle physics, gravitation, cosmology, chemistry, life, and consciousness.

Version 10.1 is a corrected and consolidated formulation of FUT. It introduces the Universal Interference Principle, the Rotation-to-Recursion spectrum, horizon-relative physics, the emergence of three-dimensional space, and the proposed role of icosahedral symmetry in the organization of physical structures. It also examines how time, particles, forces, mathematical objects, and classical reality may arise as stable regimes of the same underlying dynamics.

This edition clarifies the treatment of the fine-structure constant. Earlier mutually inconsistent expressions have been withdrawn or identified as part of the documented development process. Version 10.1 uses one canonical geometric approximation, while explicitly recognizing that its additive correction remains conjectural and has not yet been derived as a theorem.

The book combines conceptual foundations, mathematical models, comparisons with established theories, quantitative proposals, and falsifiable predictions. Proven results, structural derivations, approximations, conjectures, and open questions are distinguished throughout so that readers can evaluate both the achievements and the remaining challenges of the framework.

FUT does not begin by assuming spacetime, particles, or mathematical structure. It asks how such structures could emerge—and why related recursive patterns appear across scales, from quantum systems and elementary particles to galaxies and the cosmic web.

A dedicated section presents open questions, experimental priorities, and testable predictions. The bibliography includes links to the author’s published papers and supporting references.

This book is intended for readers interested in foundational physics, emergent mathematics, complex systems, cosmology, and new approaches to unification.

Author

About the Author

Contents

Table of Contents

Part I — Fundament: A New Language for Reality
  • Chapter 0: Universal Interference Principle
  • Chapter 1: The Problem with Reality
  • Chapter 2: The Two Operations and the R/F Spectrum
  • Chapter 3: FUT in Context: The Grand Comparison
  • Chapter 4: Time as an Emergent Spectrum Property
  • Chapter 5: Time Emergence: The Explicit θ(t, K) Relation
  • Chapter 6: Physics as High-Dimensional Inference
  • Chapter 7: The Universal Stretching Principle: Stretch Before Breaking
  • Chapter 8: The Prism Principle: Charge Quantization from Event Horizon Breaking
  • Chapter 9: The Refraction Mechanism: Why and How Symmetry Breaks at the Horizon
  • Chapter 10: Coherent Mathematics
  • Chapter 11: Relativity as View-Vector Geometry
  • Chapter 12: Gravity: The F-Dominant Force
  • Chapter 13: The Double Slit: Birthplace of Mathematics
Part II — Quantum Mechanics: The Smallest Perspektiva
  • Chapter 14: The Schrödinger Equation: Derived, Not Postulated
  • Chapter 15: The Horizon Resonance Field: Universal Mechanism
  • Chapter 16: The Electron Horizon: Triple Resonance
  • Chapter 17: Electromagnetism: R ⊗ F as Force
  • Chapter 18: The Weak Force: Near-Balance Decay
  • Chapter 19: Electroweak Symmetry Breaking via Horizon Resonance
Part III — Matter: From Quarks to Molecules
  • Chapter 20: Quarks and Hadrons: Emergent Structures
  • Chapter 21: Nuclear Structure: From Quarks to Nuclei
  • Chapter 22: The Lepton Mass Hierarchy and the FCT
  • Chapter 23: The Yang–Mills Mass Gap
  • Chapter 24: Atomic Structure: The R = F Equilibrium
  • Chapter 25: Geometrische Näherung für α = 1/137
  • Chapter 26: Fractal Time and the Network Time Quantum
  • Chapter 27: Die absolute Planck-Skala aus π, φ und A₅
  • Chapter 28: Atomic Orbitals: R-Rotation Patterns
  • Chapter 29: Molecules: Bonds, Geometry, and Zero-Point Energy
Part IV — Cosmology: Structure at All Scales
  • Chapter 30: The Proton and the Atom as Bridge
  • Chapter 31: Planetary Systems as View-Vector Networks
  • Chapter 32: Galaxies: Hierarchical Perspektivum Networks
  • Chapter 33: Dark Energy: The Null-Zone Field Expands
  • Chapter 34: The Cosmic Web: Geometry of the Null-Zones
  • Chapter 35: The Heat Death Paradox: Transformation, Not End
Part V — Life and Consciousness
  • Chapter 36: Life, Evolution, and Consciousness
  • Chapter 37: Consciousness: Self-Reference as Phase Transition
  • Chapter 38: Schrödinger’s Cat: The Quantum-Classical Transition
Part VI — Open Frontiers and Predictions
  • Chapter 39: A₅ Symmetry and Neutrino Mixing Angles
  • Chapter 40: Primes as φ-Resonances: The View-Vector Isolation Test
  • Chapter 41: Technological Visions: The Electron as Natural Quantum Computer
  • Chapter 42: Open Questions and Predictions
  • Chapter 43: Strings as Microscopic Event Horizons
  • Chapter 44: FUT in Context: Related Approaches and Distinctions
Back Matter
  • Bibliography
  • Epilogue
  • Glossary: FUT Core Terminology
  • Complete List of Testable Predictions
  • Comparison Table: FUT vs. Standard Model vs. String Theory vs. Loop Quantum Gravity
  • The Fractal Cancellation Theorem
  • All Zenodo DOIs and References
  • Montgomery’s Pair Correlation Conjecture and the C → 1 Limit

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...

 

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...

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.

Learn more about writing on Leanpub