Terms of Use

Last updated: February 2026

1. Acceptance of Terms

By accessing this website and purchasing the paper "Horizontal Gravity: The Physics of Platform Convergence in AI-Driven Markets" (the "Paper"), you agree to be bound by these Terms of Use. If you do not agree to these terms, please do not use this website or purchase the Paper.

2. Product Description

The Paper is an independently authored academic Perspective by Anthony Scaffeo, published by Digital Vibes Inc. This Paper is not published by, affiliated with, endorsed by, or sponsored by Nature Research, Springer Nature, or the journal Nature Machine Intelligence. Any references to formatting style are descriptive only.

3. Purchase and Delivery

Upon successful payment, you will receive immediate access to download the Paper in PDF format. All sales are processed securely through Stripe. Download links are time-limited and intended for the purchaser's use only.

4. Refund Policy

Due to the digital nature of this product, all sales are final. If you experience a technical issue preventing you from downloading the Paper after purchase, please contact us for assistance.

5. Copyright Notice

The Paper titled "Horizontal Gravity: The Physics of Platform Convergence in AI-Driven Markets," including all text, data, frameworks, formulas, methodologies, charts, figures, the Horizontal Gravity Index (HGI), and all associated analysis, is the original intellectual property of Anthony Scaffeo, published by Digital Vibes Inc. This work is protected under applicable copyright laws and international treaties.

No part of this Paper may be reproduced, distributed, transmitted, displayed, published, or broadcast in any form or by any means — including photocopying, recording, electronic or mechanical methods, or any information storage and retrieval system — without the prior written permission of the copyright holder, except for brief quotations in critical reviews or academic citations with proper attribution.

6. Permitted Use

Your purchase grants you a single-user, personal, non-transferable, non-exclusive license to:

Read and reference the Paper for personal, educational, or professional purposes
Store one (1) digital copy on your personal device(s)
Print one (1) physical copy for personal use
Cite the Paper in your own work with proper attribution using the following format: Scaffeo, A. (2026). Horizontal Gravity: The Physics of Platform Convergence in AI-Driven Markets. Digital Vibes Inc.

7. Prohibited Use

Without the prior written consent of the copyright holder, you may not:

Redistribute, resell, sublicense, or share the PDF with any third party
Reproduce, duplicate, or copy substantial portions of the Paper in any medium
Upload or make the Paper available on any website, file-sharing service, or public repository
Use the Paper's content, data, or methodologies to train artificial intelligence or machine learning models
Create derivative works based on the Paper without written permission
Remove, alter, or obscure any copyright notice, watermark, or proprietary marking
Claim authorship of the ideas, frameworks, or analysis contained in the Paper
Use the Paper for commercial purposes beyond personal professional reference

Unauthorized reproduction or distribution of this Paper may result in civil and criminal penalties and will be prosecuted to the maximum extent permitted by law.

8. Disclaimer of Warranties

The Paper is provided "as is" without warranties of any kind. The analysis, frameworks, and projections contained within represent the author's independent research and opinions, and should not be construed as investment advice, business advice, or guaranteed predictions of future market conditions.

9. Limitation of Liability

Digital Vibes Inc. and the author shall not be liable for any damages arising from the use of or reliance upon the information contained in the Paper.

10. Changes to Terms

We reserve the right to update these Terms of Use at any time. Changes will be posted on this page with an updated date.

11. Contact

For questions about these terms or to request reproduction permissions, please contact Digital Vibes Inc. at anthony@horizontalgravity.org.