DERIVELIST — re-derivation of the measured whitelist (direct run) ================================================================= [1] c — speed of light (relay speed, Law V) c = (cR_inf freq)/(R_inf wavenumber), H ladder 2.9979245800e+08 ref 2.9979245800e+08 dev -0.0000% [IDENTITY (CODATA tabulates cR_inf = c*R_inf)] c = k_Sun*v_surface (Mercury closure, GOM04) 2.9979513579e+08 ref 2.9979245800e+08 dev +0.0009% [CONSISTENCY-ONLY (withdrawn as derivation)] note: SI 1983 defines the metre from c — the numerical value is definitional; the physical content is ONE relay speed closing every hydrogen line (Law V movement budget). [2] alpha — fine-structure ratio (koppa rung of hydrogen) Route B: alpha^2 = 16*(dnu_2P/cR_inf) -> 1/alpha 1.3691197478e+02 ref 1.3703599908e+02 dev -0.0905% [EXTRACTED (pure ratio)] Route A: alpha = sqrt(2*E_ion/m_e c^2) -> 1/alpha 1.3707257052e+02 ref 1.3703599908e+02 dev +0.0267% [EXTRACTED (proton-free seat 137.07)] koppa_H = alpha^2*a_0 vs r_e (same length) 2.8179403262e-15 ref 2.8179403262e-15 dev +0.0000% [IDENTITY-CLASS (the rung reading)] status: read off the spectrum two ways (0.1%); geometric derivation OPEN. The CONDENSA closed-form search is excluded (no clean a*pi^b form exists for alpha — contrast 6pi^5). [3] hbar — action quantum (FLM13: W=1 circulation, one seat) hbar = m_e*(alpha c)*a_0 (W=1 circulation) 1.0545718176e-34 ref 1.0545718170e-34 dev +0.0000% [IDENTITY-CLASS (role, not value)] hbar = r_e*m_e*c/alpha (same rung, restated) 1.0545718176e-34 ref 1.0545718170e-34 dev +0.0000% [IDENTITY-CLASS] hbar/m_e = kappa/2pi [m^2/s] (kg-free observable) 1.1576763605e-04 ref 1.1576763500e-04 dev +0.0000% [OBSERVED] R_p*m_p*c/hbar (should be W+1 = 4) 4.0007815131e+00 ref 4.0000000000e+00 dev +0.0195% [DERIVED (W+1)] status: ROLE derived; VALUE has no hbar-free path (FLM13 dimensional theorem). {hbar, m_e, m_p} collapse to ONE mass/action seat — a baryon-count anchor. Two constants leave the list; one seat stays. [4] l_P — Planck length (Axiom R1, the one dimensional seed) cleanest hbar/G-free subdivision N = z_rec = 1100; required N = 5.894e+61 shortfall factor = 5.359e+58 -> route EXCLUDED (FLM06 Phase 1 negative) l_P = sqrt(koppa_per_baryon * lambdabar_p) 1.6162550000e-35 ref 1.6162550000e-35 dev +0.0000% [CIRCULAR (re-expression, not derivation)] status: NOT derivable from SDT-native quantities — Seed Theorem (FLM06, PROVEN): exactly one action/mass/length anchor is unavoidable. l_P stays AXIOM R1. No line drawn. [5] m_e — electron mass (velocity-resistance form, FLM12/FLM13) m_e = hbar/(v_seat*a_0), v_seat = alpha*c 9.1093836959e-31 ref 9.1093837015e-31 dev -0.0000% [IDENTITY-CLASS (seat form)] m_e = Phi*V_disp_e/(3 l_P^3 c^2) (Law IV role) 9.1093837015e-31 ref 9.1093837015e-31 dev +0.0000% [CIRCULAR (round trip: V_disp from m, m from V_disp)] status: MECHANISM native (FLM12: mass = field resistance to change of vector; recovers Newton I/II, E=mc^2, equivalence as theorem). VALUE = the one seat (shared with hbar, m_p). [6] m_p — proton mass (occlusion formula + W+1 boundary route) m_p = Phi*V_disp_p/(3 l_P^3 c^2) (occlusion cost) 1.6726219237e-27 ref 1.6726219237e-27 dev +0.0000% [CIRCULAR (round trip)] m_p = 4*hbar/(R_p*c) (W+1, muonic R_p input) 1.6722951935e-27 ref 1.6726219237e-27 dev -0.0195% [DERIVED (from measured boundary radius)] m_p = 6*pi^5*m_e (topological ratio) 1.6725904374e-27 ref 1.6726219237e-27 dev -0.0019% [OPEN (privileged 19-ppm match, mechanism owed)] m_p/m_e = (4/alpha)*(r_e/R_p) (hbar eliminated) 1.8357940003e+03 ref 1.8361526734e+03 dev -0.0195% [DERIVED (pure ratio, one 0.02% residual)] status: role + boundary-radius route drawn; ratio mechanism (wake phase-space integral -> 6pi^5) is the named open problem. [7] k_B — Boltzmann constant (TD02: kelvin unit bridge) a_rad = pi^2 k_B^4/(15 hbar^3 c^3) (TD06 4.4ppm) 7.5657332642e-16 ref 7.5657000000e-16 dev +0.0004% [DERIVED (blackbody suite from counted modes)] status: SI-exact since 2019 — k_B DEFINES the kelvin. Reclassified UNIT BRIDGE: no physical content to derive. Line drawn by reclassification (TD02 P4 delete-test). [8] T_CMB — CMB temperature (boundary state, not a constant) T_rec = b/lambda_emit (CR13, 974.7 nm edge) 2.9729885657e+03 ref 3.0000000000e+03 dev -0.9004% [COMPUTED (convergence chain)] T_CMB = T_rec/(1+z_rec) (shared-input check) 2.7002620942e+00 ref 2.7255000000e+00 dev -0.9260% [CONSISTENCY (z_rec shared input — not a derivation)] octave count (CR07): log2(1+z_rec) = 10.105 octaves status: remains MEASURED (FIRAS). Reclassified: a boundary-state reading (the present convergence temperature — a clock, not a constant of nature). Absolute value not derivable from within; it is the state the cycle is currently in. [9] e — elementary charge (EMC02: irreducible unit bridge) e = sqrt(alpha*hbar*c/k_e) (Coulomb identity) 1.6021766335e-19 ref 1.6021766340e-19 dev -0.0000% [CIRCULAR (definitional, printed as such)] P_eff = m_p^2 m_e^2 c^5/(4 pi alpha hbar^3) (EMC04) 5.2272515465e+31 ref 5.2250000000e+31 dev +0.0431% [DERIVED (the physical target behind e)] status: whitelist {l_P,c,hbar,k_B,T_CMB} has no current dimension [A]; no combination yields coulombs (EMC02 dimensional result). e is a UNIT BRIDGE (no charge substance — handed redirection); line drawn by reclassification, not by derivation. ================================================================= REDUCED WHITELIST (after the lines are drawn): l_P AXIOM R1 — the one dimensional seed (Seed Theorem) ONE mass seat {hbar = m_e = m_p} collapsed via W=1/W=3 (FLM13) alpha extracted from the H spectrum; derivation open a_0 MEASURED — the length the seat form rides on (audit F3: m_e = hbar/(alpha c a_0) consumes it; no derived route for a_0 exists in laws.hpp) T_CMB boundary state (thermal seat), measured c, k_B, e unit bridges — SI definitions, no physics to derive [R_p == m_p one fact, not two: the 0.02% residual is shared] => FIVE external inputs, not four. The collapse moves the mystery from a mass to a length; closing a_0 (c^2/C_H) or the 6pi^5 wake integral is what would actually shorten it. Open mechanisms owed: 6pi^5 wake integral; alpha geometric route; the seat's absolute magnitude (FLM12 D-series).