A Local-Algebraic Route to Emergent Gravity (100 Pages)

2 points by berndtzl ↗ HN
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.

1 comment

[ 3.2 ms ] story [ 9.4 ms ] thread
Sounds like you have reinvented sheaves & cohomology.