An Internal Derivation of the Fine-Structure Constant

Minor numerical display correction (v1. 1). A typographical inconsistency in the displayed value ofdeltaₜrig^ (alpha, 0) has been corrected in three locations: Introduction (Section A1), Appendix A (Step 9 box), and Appendix B (Section B. 5). The truncated display value 0. 0856731937361413. . . has been corrected to the full value 0. 08567319373614122. . . , consistent with the computation in the main text (D3) and theremainder of the manuscript. No mathematical content, derivation, or conclusion has been changed. This paper presents a computational structure that internally derives the fine-structure constant \ (\) as the low-energy normalized prefactor of the \ (V₏₂. ₂\) -EM electromagnetic channel, rather than taking it as an exogenous empirical constant. The starting point is the \ (V₏₁. ₀\) common event-extraction engine and the \ (V₏₂. ₂\) -EM channel compilation. First, the coupling-free bare electromagnetic tensor \ (T_^ (EM) \) is separated from the physical electromagnetic ledger, and the position into which \ (^-1/4\) enters is sealed in advance as_^ (2), phys=^-1 (t, _) 4 T_^ (EM) +_^ (2) +J_^ (2, src). this position fixing, the electromagnetic trace-like \ (U (1) \) projection-capacity certificate is produced from internal projection impedance as_^ (, 0) =0. 3817992348991862. this into the zeroth-order capsule-average loss gives the leading normalization mode\^-1 (₀) =136. 9503259827925. , on the edge-trigger plateau branch selected by the time engine and the ternary implementation residual, the bounded trigger correction\ₓₑ₈₆^ (, 0) =0. 0856731937361413 internally produced. Therefore, the final internal electromagnetic normalization coefficient is\^-1₈₍ₓ=^-1 (₀) +ₓₑ₈₆^ (, 0) =137. 0359991765286. \ This paper interprets this value not as an arbitrary \ (q²0\) running coupling, but as the reference value of the low-energy on-shell or Thomson-limit electromagnetic normalization branch, \^-1₈₍ₓ₎ₒ^-1 (0;_). at \ (q²0\) is separated into vacuum-polarization and higher-resolution readout-correction branches. The same zeroth-order base ledger also produces, without using \ (C_^ (, 0) \) or \ (ₓₑ₈₆^ (, 0) \), the independent scale-separation readout_/_=1074. 03933765. anchored by the electron reduced Compton scale \ (R_ = C = / (mₑ c) \), this independent readout defines\ (_=0. 3595392216\, fm\) as the electromagnetic implementation cell and minimal readout scale, namely an object-local minimal implementation cell. The claim of this paper is not that a particular number is fitted after the fact. The computational order is fixed as follows: the position of \ (\), bare/normalized separation, internal derivation of \ (C_^ (, 0) \), bounded production of \ (ₓₑ₈₆^ (, 0) \), low-energy QED scheme identification, independent readout, and consistency check against an external reference anchor. The later-stage readout-boundary, time-engine, support-layer, and master-action structures are presented in compressed form in the appendices to the extent required.