Notice of Authorship and Original Contributions

Fractus: One Shape, Folded at Every Depth
Author: Ridley DiSiena
Archival record: the commit history of this repository and the DOI assigned to each archived release.

What belongs to the author

The framework presented in Fractus, and the original concepts, framings, terminology, and syntheses within it, are the original intellectual work of Ridley DiSiena. Anyone who uses, discusses, extends, or builds on them is asked to credit the author by name and cite this work.

The original contributions include, but are not limited to:

• The proposal that spacetime is a single structurally self-similar folded geometry, with particles read as knots in it, forces as creases through it, gravity as its collective flexing, and light as a texture of its surface.
• The windfold: the iterated, confinement-driven passage of the geometry from one dimensional order into a higher one, with the crease as its record.
• The reading of force channels as creases, connected to iterated relativistic transformations and their fractal limit sets, with confinement supplying the iteration that free space does not.
• The overturn: mass read as the rate of a dimensional rotation of a knot, with the two chiralities as its two visible faces, the Higgs field as the substrate’s permission to overturn, and the Higgs boson as a resonance of the resting state.
• The turnings and the ladder of anchors: mass, charge, color, and spin read as distinct dimensional foldings a particle experiences rather than properties it holds.
• The native ringing: the proposal that flavor mixing is the intrinsic behavior of an unanchored knot, and that mixing strength falls as the number of anchors rises.
• The unbranched knot: the reading of charge as what branches the shape into matter and antimatter, and of a Majorana neutrino as the one knot where the branches rejoin.
• Time as depth of fold counted in overturns, and the reading of the photon’s zero-time crossing and entanglement’s zero-transmission correlation as one property of the shape seen twice.
• The folding conjecture: nuclear shell structure as the atom’s hidden four-dimensional symmetry folded deeper, with folding depth tracking the fraction of mass that is confined field energy.
• The three generations as one harmonic at three depths of fold, with the tau as the boundary where the lepton pattern passes into the nuclear regime.
• The proposed test of measuring the fractal dimension of nuclear level schemes against the electron ladder.

What does not belong to the author

Fractus draws throughout on established physics. Every established result, theorem, measurement, and model it describes belongs to its discoverers and is credited in the manuscript’s appendices and sources. No claim is made to any of it. The claim is to the framework that reads those results together, and to the proposals the manuscript itself marks as conjecture.

How this work was written

Fractus was developed by the author in extended dialogue with Claude, an AI model made by Anthropic, used as reviewer, technical translator, and co-editor. The conceptual proposals originate with the author. Claude helped name, test, and articulate them.

Terms of use

The text is licensed under Creative Commons Attribution-NonCommercial 4.0 (CC BY-NC 4.0). You are free to read, share, quote, translate, teach from, and build on this work for any non-commercial purpose, including research and education, provided you credit the author. Commercial use requires the author’s written permission.

This notice does not restrict scientific discussion of the ideas. Science advances by people building on one another’s work. It asks only that the origin of these ideas be acknowledged, and that no one sell this work or present it as their own.