Fixed Grid String & coupled gauge–matter / Note

Hydrogen 1S→2P electric-dipole benchmark

Reference21 Sept 2026 · saved

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01 / THE QUESTION

Editorial guide

What are the exact nonrelativistic 1S→2P gap, radial dipole integral, oscillator strength and angular selection rules for the declared radial model?

02 / WHAT THE RECORD SAYS

Source passage

Thus the implemented one-photon E1 model allows 1S→2P with $m'=0$ , while 1S→2S, 1S→3D and the z-polarized 1S→2P $m'=1$ matrix elements vanish from the angular factor.

03 / LIMITS & OPEN POINTS

Source passage

It therefore does not predict the precision components of the physical Lyman-α doublet.

04 / THE NEXT QUESTION

Editorial guide

Whether the program converges to these exact targets under grid and wall refinement; results 0.3.0 (r-1c5e7fdacf87) report that it does.

05 / CHECKS IN THE RECORD

Source passage

Fixed Grid String Lab 0.3.0 / Theory of Reality 1.78.

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Sources and provenance for release 0.3.0cites
The exact continuum wavefunctions, angular integrals and oscillator strength in `DIPOLE_DERIVATION.md` are derived directly.
Passage from Sources and provenance for release 0.3.0

Source & provenance

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/DIPOLE_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 for release 0.3.0, named by its provenance record r-8a175a69be60: "The exact continuum wavefunctions, angular integrals and oscillator strength in `DIPOLE_DERIVATION.md` are derived directly."
Size: 3,543 bytes
Word count: 418 words
SHA-256 of indexed source: a7a6cee5a51dc4226fea8e77d959ae0c18af20767993908c97eed2b0bd23b24f

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Hydrogen 1S→2P electric-dipole benchmark
2026-09-21
d0re research record r-a7a6cee5a51d
https://www.d0re.com/library/records/r-a7a6cee5a51d.html
Authorship basis: Collection attribution; original record retains its own credits
Date basis: saved
Source SHA-256: a7a6cee5a51dc4226fea8e77d959ae0c18af20767993908c97eed2b0bd23b24f