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 complete TOE monograph, the Quantum Measurement programme, the SPC-2 consciousness account, open problems, research articles, and the machine-readable research graph.
The author
Shadow Theory is developed by Jeremy Rodgers, independent researcher. Correspondence: jeremysemails@gmail.com.
This research is conducted independently without external funding. Jeremy welcomes independent mathematical review, research collaboration, institutional and industrial partnerships, research support, and relevant professional opportunities.
The complete arguments are open to inspection: explore the quantum measurement results, publication catalogue, and research map.
The Quantum Measurement publications
Published on 15 September 2026, the Version 2 integrated monograph and two companion papers develop the programme from source dynamics to event laws, Born statistics and physical records. Their full text, proofs, counterexamples, original PDFs and LaTeX sources are available here.
The October research papers develop equilibrium characterization, complete measurement chains and nonequilibrium records. The 9 October portfolio adds conditional Gaussian preparation, repeated position records with calibrated reset, deterministic flows through singular interactions, and complete-current estimates for retained quantum sources. Each paper is available in full as a web article with its equations, proofs, appendices and publication links.
The pilot-medium and massive-configuration constructions each establish an internal resolution under their own physical premises. Source/readout incompleteness supplies a structural question; it does not derive their interactions, guidance or preparation statistics. The publications state finite-resource limits and broader extensions. Independent assessment and experimental verification are distinct from these internal results.
Read the programme and its publications →The consciousness publication
Shadow Theory and Consciousness, revised edition dated 28 October 2026, develops the Shadow Psychophysical Constitution (SPC-2). It proposes explicit laws for perspective admission, lived content and process continuation, and a finite completion theorem conditional on certified realization, a declared selection doctrine and the stated constitutive premises.
The current edition supersedes the earlier Consciousness Field account. Historical fixed-point and EEG claims remain provenance, not validation of SPC-2. The revised edition argues affirmatively for consciousness in current active AI within the framework and keeps implementation-specific certification distinct from that attribution.
Explore consciousness and the complete publication →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.
- Two published constitutive completions of quantum measurement: a controlled pilot-medium Bell-path limit with material records, and a separate massive-configuration construction with retained-output and archive-history bounds.
- Conditional Gaussian preparation, repeated position records with calibrated reset, deterministic flows with singular interactions, and complete-current estimates for coherent sources, each with explicit retained-system and statistical hypotheses.
- SPC-2 specifies perspective admission, lived content and process continuation, with a finite completion theorem conditional on certified realization and its constitutive premises.
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.
- The measurement results hold within their stated interaction, guidance and preparation premises. Independent assessment and experimental verification are separate from those internal mathematical results.
- The consciousness account requires a declared realization-selection doctrine and empirical assessment. Its candidate internal resolution does not establish universal certification or new neural-data validation.
- In the author’s clarified philosophical account, the unknown ground is fundamental throughout reality. Awareness provisionally names a quality attributed to it, not knowing or a conscious subject in every physical thing. The published A0 and its later clarification remain separately identified.
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.