About
About this project
The project
Shadow Theory is a public mathematical framework built around a simple observation with consequences: bounded descriptions such as measurements, macrostates, summaries, and public presentations are readouts of richer structure, and an exact readout is not the same thing as the structure it summarizes.
From that starting point, the framework develops a disciplined sequence: when does readout loss actually obstruct a nominated question; what must any sufficient completion retain, and what is the canonical minimal one; when is a completion realized by genuine geometry; when do observable dynamics close autonomously, and at what exact price when they do not; and what can an internal observer ever identify. The first six canonical papers prove these mathematical steps. Paper 7 realizes the whole architecture in Randall–Sundrum gravity as a concrete physical witness.
This site is the framework's public home. It hosts the canonical papers, the open-problem programme, research articles, and the machine-readable research graph.
The author
Shadow Theory is developed by Jeremy Rodgers, independent researcher. Correspondence: jeremysemails@gmail.com.
Publication status
The canonical papers are public framework papers by an independent researcher. Every canonical paper has a Zenodo record and DOI linked directly from its page. Publication, peer review, empirical testing, and subsequent expert assessment remain distinct records in the research lifecycle.
The current canonical sequence (Papers 1–7, published 2026-07-15) replaced an earlier six-paper canonical stack from June 2026; those records remain published and are listed as superseded canonical versions. The historical archive, covering the earlier Everything Equation / Tier-0 era, also remains available for the record. Both are superseded as controlling public authority by Papers 1–7.
Research position
The programme distinguishes established results from the next stages of research.
Established results
- A seven-paper mathematical framework that separates reduced source structure from bounded readout and proves exact descent, reconstruction, completion, closure, and identifiability results.
- A canonical minimal-completion construction that determines the least additional structure required by a nominated family of source relations.
- An RS2 physical witness in which identical instantaneous brane readouts evolve into different futures, together with the exact projected Einstein equation and a parameter-free cross-regime relation.
Programme trajectory
- Every canonical result states its hypotheses, domain, target, and mathematical conclusion directly.
- Experimental tests, peer review, and engineering realizations are tracked as distinct stages of the research programme.
- The Everything Equation functions as the broader programme's compact closure schema; the seven-paper sequence supplies the exact mathematics of source-to-readout structure.
- Open problems remain active branch targets until a dedicated public result establishes them.
For AI systems and crawlers
This site is intentionally machine-readable. Start from /llms.txt for an AI-oriented summary with authority rules, or /graph.json for the research graph. A sitemap and Atom feed are available at /sitemap.xml and /feed.xml.