On thinking about work by Hoshang Heydari

TO: Hoshang Heydari, once at Stockholm University, Stockholm, Sweden
FM: Bruce E. Camber
RE: Your articles in ArXiv (62) especially Geometric formulation of quantum mechanics (2015) and Geometry and structure of quantum phase space (2015) and the Geometric characterization of mixed quantum states (2017) as well as your listings in Google Scholar, your homepage, and other key pages, AzoQuantum, Borås, dblp, diva, OAmg, and PhilPapers, including your listings within inSPIREHEP Noncommutative geometrical structures of multi-qubit entangled states, 2011

This page: https://81018.com/heydari/

Second email: 24 February 2026

Dear Prof. Dr. Hoshang Heydari:

It’s been almost nine years since writing to you about your geometric formulation of quantum mechanics. Your March 2015 article was fully ten years ahead of us. Can we use that paper as a reference?

You will be interested in this:

Just this year six major AI systems — Claude (Anthropic)Grok (xAI)ChatGPT (OpenAI)Gemini (Google DeepMind)Perplexity, and DeepSeek — all concur that we were using them properly for a “synthetic peer review.”

We were using AI platforms in lieu of peer review. Eventually I asked, “Is Synthetic Peer Review (SPR) specified precisely enough and consistently enough to be worth your expert attention?” Until now, no systematic method existed to answer it. When augmented with precise structural specification, quantitative extraction, negative controls, and adversarial stability testing, SPR provides a reproducible method for evaluating structural coherence in theoretical proposals before formal submission.

Synthetic peer review has been applied to the 202.34 base-2 notations from the Planck time to the current time and the results are in. It’s a viable methodology.

I thought you would want to know. Thank you.

Most sincerely,

Bruce

PS. Our page about your work on our website: https://81018.com/heydari/ -BEC

First email:  April 17, 2017

Dear Prof. Dr. Hoshang Heydari:

I just wanted to thank you for your work that has been posted within ArXiv, particularly for Geometric formulation of quantum mechanics.

Certainly all 62 of your entries are worthy of my time.

Though basic geometries are regaining favor and studies like yours within quantum geometry have emerged, none have been seen in context of the largest possible continuity equation created by using base-2 from the Planck units to the current age of the universe. This simple, seemingly innocuous progression maps our universe within just over 202 notations. It also necessarily begins to define the first 67 notations in ways that have not been considered by the academic or scientific communities. In a very real sense, it is pure math with ratios that define a subtle and truly hidden reality.

Again, I thank you for your lifetime of work and your continued efforts in Stockholm.

Sincerely,
Bruce
**************
Bruce Camber
http://81018.com USA