SciPost Submission Page
Emergent Area Operators in the Boundary
by Ronak M Soni
Submission summary
| Authors (as registered SciPost users): | Ronak M. Soni |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2511.01382v2 (pdf) |
| Date submitted: | Nov. 9, 2025, 9:44 a.m. |
| Submitted by: | Ronak M. Soni |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
The author(s) disclose that the following generative AI tools have been used in the preparation of this submission:
- Diagram generation (tikz formatting).
- Literature searches.
Main ideas and all the writing done by humans.
Abstract
In some cases in two and three bulk dimensions without bulk local degrees of freedom, I look for area operators in a fixed boundary theory. In each case, I define an exact quantum error-correcting code (QECC) and show that it admits a central decomposition. However, the area operator that arises from this central decomposition vanishes. A non-zero area operator, however, emerges after coarse-graining. The expectation value of this operator approximates the actual entanglement entropy for a class of states that do not form a linear subspace. These non-linear constraints can be interpreted as semiclassicality conditions. The coarse-grained area operator is ambiguous, and this ambiguity can be matched with that in defining fixed-area states.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block