Nuclear

Modelled[M packaging] / [E algebra]. Static 6-edge tetrahedron stays failed. U₀ and the factors inside η stay [O]. No BANK_FT token.

Light Nuclei Simplex

A=2, 3, 4 on the S⁷ simplex. The fractions are [E algebra]. The reading that binds them is [M packaging]. It does not mint the deuteron binding.

Reading this entry

The light-nuclei page organises A = 2, 3, and 4 on the S⁷ simplex as fractions of the measured deuteron binding. Branch 1 prints the triton, helion, and alpha rows with the measured mirror gap, and Branch 2 records the contact formula and the mutual-dance lengths on the equatorial torus.

What this is used for

The deuteron bond scale and the nuclide-horizon bond quantum both read the fractions and the evaluated bond values kept here. The four comparison rows give the working A = 3 and A = 4 bindings once B_D and the measured gap are inserted.

Walk through

On S⁷ the weight is κ = 1/16 and the bond ratio at q = 3 is 1 + 1/q² = 10/9. The cluster sum is 61/16 + 37/4 = 209/16 = 13 + 1/16, and the bond quanta are 2.471740 MeV and 2.469003 MeV. Printed rows use the measured gap E_C = 0.763752 MeV and give 8.481158, 7.717406, 19.813484, and 28.294641 MeV for B(³H) = (61/16)B_D, B(³He) = (61/16)B_D − E_C, S_p(⁴He) = (37/4)B_D − E_C, and B(⁴He) = (209/16)B_D − E_C. The analytic gap is E_C = α m_p c²/9 = 0.760767 MeV. Branch 2 writes B_D = U_0(1−η) = 2.350×[1−4(1−6/√37)] = 2.222103 MeV, with ‖Ψ̇‖ = √(13/2), L_1 = π√26, L_6 = 6π√26, and η = 4(1−6/√37) = 0.0544243.

The light-nuclei simplex stays the v1.1.13 placement on live line §0bn1191. These rows are not status-chip promotes. Branch 1 writes the and bindings as fractions of the deuteron binding . It does not derive . A static 6-edge tetrahedron reading stays failed. Public Doctrine v1.1.15 keeps as [E algebra] of the placed boundary values on the measured anchor.

Fraction identities

The horizontal volume weight on is [E algebra]. For winding , the toroidal bond ratio is [E algebra]. The cluster sum is [E algebra]. The evaluated bond quanta are Branch 1 and Branch 2 [E algebra].

Branch 1 comparisons

Each row is a fraction of , with the recorded Coulomb gap subtracted where the record subtracts it. The printed table rows evaluate using the measured mirror gap . The analytic electrodynamic gap is (−0.391% from experimental [E vs data]). With the analytic gap inserted, the rows evaluate to (−2.35 keV, −0.030%), (−2.60 keV, −0.013%), and (−1.97 keV, −0.007%).

Independence note: shares the triton residual by construction through the measured gap, and alpha total is triton plus . The four rows represent two independent comparisons with two rational coefficients ( and ).

Comparison	Recorded value	AME 2020	Residual
Triton	8.481158 MeV	8.481795 MeV	0.637 keV (0.0075%)
Helium-3	7.717406 MeV	7.718043 MeV	0.637 keV (0.0083%)
Alpha separation	19.813484 MeV	19.813865 MeV	0.382 keV (19.25 ppm)
Alpha total	28.294641 MeV	28.295660 MeV	1.019 keV (36.00 ppm)

[E vs data] of the placed fractions. Not a free binding theorem. Not a status-chip promote.

Deuteron contact, Branch 2

Branch 2 is the separate contact formula . Against CODATA 2.224566 MeV the residual is 2.463 keV (0.111%) [E vs data]. and the factors 4 and inside stay [O residual]. This row does not mint . The older Weber print on the deuteron page, which quotes 2.224566 MeV as an exact package, is not this branch.

The mutual-dance kinematics on equatorial are [E algebra]: joint speed , first return , six-loop length , Lie angular speed , same-slot beat , and fibre deficit . The circulation ansatz is [M packaging]. The implication stays unsigned.

What stays open

and the numerical factors inside stay [O residual]. The static tetrahedron stays failed. No BANK_FT_* token is issued. The heavy-nucleus cage is a different page.