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Find the title and version below. These notes describe the permissions we could establish from the files and public records, checked September 21, 2026. They do not grant new permissions for the publications.

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Knot Physics: A Complete Description of the Theory

Version 1.0, August 2026 · Website PDF · Markdown edition

ResearchGate edition: CC BY 4.0. You may share and adapt the licensed material, including commercially, with credit, a license link, and an indication of changes.

The author’s ResearchGate record states this license for version 1.0. We have not yet verified that the website PDF is the same licensed copy or confirmed the Markdown edition’s coverage. To rely on the stated license, use the edition supplied with that notice on ResearchGate; ask us about the website editions.

Geometric Inflation and Late-Time Cosmic Acceleration from Embedded Spacetime Dynamics

January 2026 manuscript · Website PDF

ResearchGate edition: CC BY-NC-ND 4.0. You may share the licensed work unchanged for noncommercial purposes, with credit and a license link. This license does not permit commercial sharing or sharing adaptations, including translations.

The author’s ResearchGate record states this license. We have not yet verified that the website PDF is the same licensed copy. Use the edition supplied with the ResearchGate notice, or ask us about this PDF or other uses.

Finite Path Integrals on Stochastic Branched Structures

The version matters: the PDF linked from Literature is the March 2026 arXiv manuscript. It is different from the older July 2025 manuscript stored on this website.

March 14, 2026 arXiv manuscript: reuse permission not confirmed. The arXiv record links to its distribution license, which lets arXiv host the work; it does not give readers general permission to republish or adapt it. Ask about reuse of this version.
July 8, 2025 manuscript: the ResearchGate record states CC BY 4.0, allowing sharing and adaptation, including commercially, with attribution. The older website PDF has a matching title and date, but we have not verified it is the same licensed copy. Use the edition supplied with the ResearchGate notice or ask us to confirm this file.
2026 journal article: the publisher’s license metadata lists standard IOP terms, not CC BY. We could not inspect the publisher PDF itself. Consult the journal article and IOP’s permissions guidance for reuse of that edition.

Papers and presentations awaiting confirmation

For each file below, we found no explicit reuse license inside the PDF and could not verify one elsewhere for that edition. Please ask us about permission before republishing, adapting, or using it commercially, unless your use is already allowed by law or another permission you hold.

Incorporating Gravity into the Path Integral of Quantum Mechanics Using the Thermodynamics of Spacetime (November 4, 2022). Reuse license not confirmed. Ask about reuse.
Physics on a Branched Knotted Spacetime Manifold (August 23, 2021). Reuse license not confirmed. Ask about reuse.
Knot Physics: Deriving the Fine Structure Constant (September 21, 2015). Reuse license not confirmed. Ask about reuse.
Knot Physics: Entanglement and Locality (July 18, 2016). Reuse license not confirmed. Ask about reuse.
Knot Physics: Dark Energy (January 31, 2023). Reuse license not confirmed. Ask about reuse.
Knot Physics: Dark Matter (July 22, 2016). Reuse license not confirmed. Ask about reuse.
Knot Physics: Neutrino Helicity (March 2, 2015). Reuse license not confirmed. Ask about reuse.
Knot Physics: Vacuum Geometry (Draft, May 21, 2022). Reuse license not confirmed. Ask about reuse.
Physics on a Branched Knotted Spacetime Manifold — full presentation (73 slides). Reuse license not confirmed. Ask about reuse.
Physics on a Branched Knotted Spacetime Manifold — short presentation (17 slides). Reuse license not confirmed. Ask about reuse.

Research scripts, notebooks, and other companion downloads also need their own confirmed terms; the website’s CC BY notice does not license them.

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