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A Local-Algebraic Route to Emergent Gravity (100 Pages)
I've been developing a framework called Observer Patch Holography (OPH), which attempts to derive spacetime geometry and gravity from purely local quantum information structure.
Instead of assuming global spacetime, the construction starts with local operator algebras attached to observer patches and imposes Markov consistency constraints on overlaps. Under these conditions, metric structure and gravitational dynamics emerge from entropic consistency requirements.
The full derivation is ~100 pages and draws from algebraic QFT, operator algebras, and quantum information theory:
https://zenodo.org/records/18288114
For accessibility:
- Conceptual book: https://oth-book.lovable.app
- Interactive notebook (with diagrams + video):
https://notebooklm.google.com/notebook/d5249760-6ce8-44a0-927b-ccf90402711a?artifactId=fb7c0ebd-4375-4997-9cae-6558ff8977b4
I’d especially appreciate critique from people familiar with algebraic QFT, holography, or quantum Markov states. If it fails, I’d love to know precisely where.
- measurablefunc 8mo agoSounds like you have reinvented sheaves & cohomology.
- berndtzl 8mo agoNot re-invented, but imported. Of the hundreds of concepts and mathematical structures used in the paper, I "invented" maybe 2%. The work is built on top of what already exists.
- measurablefunc 8mo agoGreat, so what is the cohomology of the cosmos in your theory?
- berndtzl 8mo ago[dead]