Two-Energy Theory (TDE) v10.5: Baryon Mass Spectroscopy with a Frozen 4D Spin-Geometry Core and a Vacuum-Rotation Sector

This release introduces TDE v10.5 focused exclusively on baryon mass spectroscopy. The TDE v10.4 mass-geometry core (Spin-mode 4D Mass Geometry) is kept frozen and provides a baseline mass from a dimensionless geometric invariant W built from quantum labels (n, s, I, S_int). In v10.5 we extend only the orbital sector (L > 0) with a MIT-bag-inspired “vacuum-rotation” model under the hypothesis of Vacuum Aerodynamics: starting global rotation in vacuum has a start-up energy cost (parity-split into E_odd for odd L and E_even for even L), rotation energy grows approximately like a rotor term scaled by an effective bag-size proxy R(W) = 1 + c*W, and an additional effective coupling between orbital motion and internal structure (L dot S_int) is included with coefficient beta. A key methodological point is sector separation. Rotation parameters are fitted only on orbital states (L > 0). Radial states (L = 0, n > 1) represent a different physics regime (bag breathing mode) and are intentionally not mixed into the rotation fit; they will be treated later with a single breathing-mode parameter (gamma). We also enforce a critical mapping fix: N(1710) is treated as a radial state with n = 3, L = 0 (not n = 1, L = 0). Without this fix, global fit quality is artificially degraded. Main results (orbital sector only): Option A (main model): per-state configuration mixing allows S_int = 1/2 or 3/2 subject to the triangle rule, selecting the value that minimizes squared error for each orbital state. Orbital RMSE on the benchmark is 89.76 MeV. A+ (appendix diagnostic): additionally allows minimal band ambiguity n -> n+1 for orbital states, selecting the best (n_used, S_int) per state. Orbital RMSE becomes 49.58 MeV. The states moved to n+1 are reported in the appendix and interpreted as candidates for higher bands / Regge reassignment and as evidence for a nonlinear high-rotation regime at large L (especially L >= 3). Fitted rotation parameters (Option A, orbital only):E_odd = 388.80 MeV, E_even = 477.05 MeV, A = 532.03, c = 1.2677, beta = 31.62.The average start-up energy (E_odd + E_even)/2 = 432.93 MeV, close to M_bare = 450 MeV, supporting the interpretation of start-up cost as a vacuum/bag deformation threshold.