Atomic Nucleus
The τ-atomic nucleus is the general multi-defect-bundle composite of Z τ-protons and (A − Z) τ-neutrons bound on T² × R³ via the strong sector. Its T²-shell occupancy is governed by the Dual Magic Number Structure (IV.T254) and unified by IV.T375; binding energies, valley of stability, and α-clustering all emerge from the τ-categorical T²-saturation picture.
τ-Definition
The τ-atomic nucleus is the general multi-defect-bundle composite of Z τ-protons and (A − Z) τ-neutrons bound on T² × R³ via the strong sector. Its T²-shell occupancy is governed by the Dual Magic Number Structure (IV.T254) and unified by IV.T375; binding energies, valley of stability, and α-clustering all emerge from the τ-categorical T²-saturation picture.
Categorical invariant. A-defect-bundle composite (Z τ-protons + N τ-neutrons) on T² × R³ whose stability is set by spin-isospin T²-shell occupancy.
Primary registry anchor:
IV.D528
τ-Derivation Chain
-
I.K0— Universe Postulate -
IV.D12— Particle Kind on T² fiber -
IV.P166— Neutron Minimality (anchor) -
IV.P330— Quark composition: n = udd, p = uud -
IV.D528— Nuclear Structure as multi-defect bundle template -
IV.T254— Dual Magic Number Structure (proton + neutron T² shells) -
IV.T375— Unified Magic Number Origin (single τ-categorical principle) -
IV.D411— α-Decay as ejection of saturated T² unit
SI Translation
Calibration anchor: PG-P01-neutron
Calibration chain:
- m_n (anchor)
- m_p via IV.T142
- Z m_p + N m_n − B(A,Z)/c² (SEMF in τ-form)
- Magic numbers {2, 8, 20, 28, 50, 82, 126} from IV.T254 / IV.T375
Manuscript reference: manuscript-sources/book-04/part05/ch40-light-nuclei.tex
Lean Coverage
Status: Planned