Artian Electron Source-Lab Rydberg Theorem

Abstract

Artian Electron Source-Lab Rydberg Theorem Version: 2.0Concept DOI: 10.5281/zenodo.20800371Author: Ali AttarWebsite: quantumtraction.org This paper isolates the QTT electron source/lab Rydberg spine into a standalone theorem. Version 2.0 strengthens the paper by making the source-access logic more explicit: the paper derives the dimensionless γ W source/lab access exponent, while the absolute laboratory electron mass row is declared as an upstream charged-lepton access anchor from the main QTT book. The compact source/lab master equation is ρ=2πcos(π/8), ℛ_e=256·384·198·97, D_e^{γ W}F_e = (ρℛ_e)^−1/2r_rank + (64ℛ_e)^−1/2r_{γ W}, G_e^{γ W}=diag(1,1,0,0,0,0,0), ℐ_e^src/lab,QTT = Tr [(D_e^{γ W})^⊤ G_e^{γ W}D_e^{γ W}] = 1/ρℛ_e + 1/64ℛ_e = 9.951823065003947×10⁻¹¹. The source electron mass is then m_e^source,QTT = m_e^lab,current exp[−ℐ_e^src/lab,QTT] = 0.510998950610811 MeV. Using the frozen QTT photon-edge coupling, α_λ⁻¹=137.035999165998, the Rydberg source equation gives R_∞^QTT = α_λ²m_e^source,QTTc/2h = 10 973 731.568156838 m⁻¹, with audit pull z_R=−0.0135σ against the CODATA/NIST value R_∞=10 973 731.568157(12) m⁻¹. Version 2.0 adds three important guardrails. First, it states explicitly that the theorem derives the dimensionless source/lab access exponent, not the absolute electron scale from pure numbers. Second, it proves the legal γ W covariance door 64=2_cov32_Σ as the minimal two-sided Artian area-covariance door. Third, it prints the nearby-denominator audit table and shows why the audit alone cannot choose the door: the corridor confirms the scale, while Artian covariance legality selects 64. The rejected exact-fit denominator is N_fit=64.1138787873. QTT does not use this number. The forced Artian door lands near the target but not exactly on it: Δℐ/ℐ_e^target=1.4773×10⁻⁴. This nonzero residual is part of the no-fit signature. Main status labels: Σ-RYDBERG-SOURCE-EQUATION-CLOSED Σ-SOURCE-LAB-SEPARATION-FRAMEWORK-CLOSED Σ-GAMMA-W-COVARIANCE-MICRO-RAIL-DERIVED Σ-ELECTRON-GAMMA-W-MICRO-RAIL-CORRIDOR-GREEN Σ-ELECTRON-SOURCE-MASS-RYDBERG-CORRIDOR-GREEN Σ-GAMMA-W-DOOR-64-ADMISSIBILITY-CLOSED Σ-CHARGED-LEPTON-RANK-256-384-198-97-INHERITED Σ-ABSOLUTE-ELECTRON-SCALE-ANCHOR-DECLARED The scope is intentionally explicit. The charged-lepton rank product ℛ_e=256·384·198·97 is inherited from the charged-lepton family-rank theorem and is not rederived locally in this paper. If a future independent source-word derivation changes that product, the present electron/Rydberg rail fails rather than being repaired by Rydberg data. Related QTT anchors: Main book v10.01: 10.5281/zenodo.17527179 Main book v10.01 record: 10.5281/zenodo.20394203 Photon-edge gate: 10.5281/zenodo.20628736 Fine-structure constant paper: 10.5281/zenodo.20330269 Charged-lepton family-rank theorem: 10.5281/zenodo.20698191 Charged-lepton public record: 10.5281/zenodo.20707617 Included files: PDF paper, Version 2.0 LaTeX source Release package ZIP Review comparison and merge notes Render audit README SHA256: PDF: 7b6d2d6278e27598b869572d24794499b3d90fb5b3485217dca47834b0ab3ac3 LaTeX: 637aa559e95095dc19079075d0b196f706715f55bee8f76e0b055bd3ea3c4e3d ZIP: 512fd15a7e09d2d0cc8418873385c57816a1bcd3c42064528481eae594cafe1d

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Cite

BibTeX RIS

BibTeX

@misc{ali2026artian,
  title = {{Artian Electron Source-Lab Rydberg Theorem}},
  author = {Attar Ali},
  howpublished = {Zenodo (CERN European Organization for Nuclear Research)},
  year = {2026},
  month = jun,
  doi = {10.5281/zenodo.20800371},
  url = {https://doi.org/10.5281/zenodo.20800371},
  note = {CC BY},
}

RIS

TY  - UNPB
TI  - Artian Electron Source-Lab Rydberg Theorem
AU  - Attar Ali
PY  - 2026
DA  - 2026/06/22
PB  - Zenodo (CERN European Organization for Nuclear Research)
DO  - 10.5281/zenodo.20800371
UR  - https://doi.org/10.5281/zenodo.20800371
AB  - Artian Electron Source-Lab Rydberg Theorem Version: 2.0Concept DOI: 10.5281/zenodo.20800371Author: Ali AttarWebsite: quantumtraction.org This paper isolates the QTT electron source/lab Rydberg spine into a standalone theorem. Version 2.0 strengthens the paper by making the source-access logic more explicit: the paper derives the dimensionless γ W source/lab access exponent, while the absolute laboratory electron mass row is declared as an upstream charged-lepton access anchor from the main QTT book. The compact source/lab master equation is ρ=2πcos(π/8), ℛ_e=256·384·198·97, D_e^γ WF_e = (ρℛ_e)^−1/2r_rank + (64ℛ_e)^−1/2r_γ W, G_e^γ W=diag(1,1,0,0,0,0,0), ℐ_e^src/lab,QTT = Tr [(D_e^γ W)^⊤ G_e^γ WD_e^γ W] = 1/ρℛ_e + 1/64ℛ_e = 9.951823065003947×10^−11. The source electron mass is then m_e^source,QTT = m_e^lab,current exp[−ℐ_e^src/lab,QTT] = 0.510998950610811 MeV. Using the frozen QTT photon-edge coupling, α_λ^−1=137.035999165998, the Rydberg source equation gives R_∞^QTT = α_λ^2m_e^source,QTTc/2h = 10 973 731.568156838 m^−1, with audit pull z_R=−0.0135σ against the CODATA/NIST value R_∞=10 973 731.568157(12) m^−1. Version 2.0 adds three important guardrails. First, it states explicitly that the theorem derives the dimensionless source/lab access exponent, not the absolute electron scale from pure numbers. Second, it proves the legal γ W covariance door 64=2_cov32_Σ as the minimal two-sided Artian area-covariance door. Third, it prints the nearby-denominator audit table and shows why the audit alone cannot choose the door: the corridor confirms the scale, while Artian covariance legality selects 64. The rejected exact-fit denominator is N_fit=64.1138787873. QTT does not use this number. The forced Artian door lands near the target but not exactly on it: Δℐ/ℐ_e^target=1.4773×10^−4. This nonzero residual is part of the no-fit signature. Main status labels: Σ-RYDBERG-SOURCE-EQUATION-CLOSED Σ-SOURCE-LAB-SEPARATION-FRAMEWORK-CLOSED Σ-GAMMA-W-COVARIANCE-MICRO-RAIL-DERIVED Σ-ELECTRON-GAMMA-W-MICRO-RAIL-CORRIDOR-GREEN Σ-ELECTRON-SOURCE-MASS-RYDBERG-CORRIDOR-GREEN Σ-GAMMA-W-DOOR-64-ADMISSIBILITY-CLOSED Σ-CHARGED-LEPTON-RANK-256-384-198-97-INHERITED Σ-ABSOLUTE-ELECTRON-SCALE-ANCHOR-DECLARED The scope is intentionally explicit. The charged-lepton rank product ℛ_e=256·384·198·97 is inherited from the charged-lepton family-rank theorem and is not rederived locally in this paper. If a future independent source-word derivation changes that product, the present electron/Rydberg rail fails rather than being repaired by Rydberg data. Related QTT anchors: Main book v10.01: 10.5281/zenodo.17527179 Main book v10.01 record: 10.5281/zenodo.20394203 Photon-edge gate: 10.5281/zenodo.20628736 Fine-structure constant paper: 10.5281/zenodo.20330269 Charged-lepton family-rank theorem: 10.5281/zenodo.20698191 Charged-lepton public record: 10.5281/zenodo.20707617 Included files: PDF paper, Version 2.0 LaTeX source Release package ZIP Review comparison and merge notes Render audit README SHA256: PDF: 7b6d2d6278e27598b869572d24794499b3d90fb5b3485217dca47834b0ab3ac3 LaTeX: 637aa559e95095dc19079075d0b196f706715f55bee8f76e0b055bd3ea3c4e3d ZIP: 512fd15a7e09d2d0cc8418873385c57816a1bcd3c42064528481eae594cafe1d
ER  -