Fixed Grid String & coupled gauge–matter / Note

Radial Coulomb foundation: operator, exact spectrum, and limits

Reference21 Sept 2026 · saved

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01 / THE QUESTION

Source passage

does the implemented radial finite-difference Coulomb model reproduce its exact spectrum and its continuum limit?

02 / WHAT THE RECORD SAYS

Source passage

Successful numerical gates establish that the declared operator was solved correctly and approaches the stated continuum model.

03 / LIMITS & OPEN POINTS

Source passage

They do not supply evidence that nature uses this radial grid or this time sampling.

04 / THE NEXT QUESTION

Source passage

Thus Appendix AR's complete electromagnetic physical gate remains open even if this smaller bound-state gate passes.

05 / CHECKS IN THE RECORD

Editorial guide

This record does not separate a verification section. Read its methods, assumptions and original source before treating a claim as checked.

Following connections

Fixed Grid String Lab 0.2.0 — bounded resultscites
The derivation and prior-work attribution are in [FOUNDATION_DERIVATION.md](FOUNDATION_DERIVATION.md).
Passage from Fixed Grid String Lab 0.2.0 — bounded results

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Access: Public
Dates declared in the record: Not recorded
Project basis: Editorial topic association
Origin: d0re research collection (snapshot 1 October 2026)
Original path: /The Theory of Reality/Fixed Grid String Lab/FOUNDATION_DERIVATION.md
Authorship basis: Collection attribution; original record retains its own credits
Title basis: From the source
Date: 21 Sept 2026 · saved
Status basis: Companion derivation of release 0.2.0, cited by r-441b2e8db915: "The derivation and prior-work attribution are in [FOUNDATION_DERIVATION.md](FOUNDATION_DERIVATION.md)."
Size: 11,996 bytes
Word count: 1,500 words
SHA-256 of indexed source: 021dc11952bb42fe22c0dffb3c7f1186ab1f2ab3522655d858a2691389aa4338

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Radial Coulomb foundation: operator, exact spectrum, and limits
2026-09-21
d0re research record r-021dc11952bb
https://www.d0re.com/library/records/r-021dc11952bb.html
Authorship basis: Collection attribution; original record retains its own credits
Date basis: saved
Source SHA-256: 021dc11952bb42fe22c0dffb3c7f1186ab1f2ab3522655d858a2691389aa4338