The 9 truly-independent primitives
UQFF rests on 9 truly-independent quantities plus 2 mathematically derivative quantities (the LANDMARK reduction from 11 → 9 in PAPER_1521/ 1522, session 2026-06-18).
Integer lattice primitives (5)
Symbol |
Value |
Origin |
What breaks if changed |
|---|---|---|---|
\(D_{\rm phys}\) |
4 |
3+1 spacetime (observed) |
Magic 2, Faber-Jackson exponent, SU(3) color N=3 |
\(D_{\rm crit}\) |
26 |
Bosonic-string critical dim (Polyakov 1981) |
Λ derivation (×26!), all magic-number arithmetic |
\(N_{\rm CH}\) |
9 |
PAPER_646 Caduceus 9-channel |
Δm²_31/Δm²_21 ratio (= D_crit+N_CH−2 = 33) |
\({\rm SO}_5\) |
10 |
\(\dim {\rm SO}(5)\) |
Proto-Si Z=14, magic-50, amino acids=20 |
\(A_5\) |
60 |
\(|A_5|\) icosahedral group |
Pop III IMF, Hayflick limit, magic-82, magic-50 |
Real primitives (4)
Symbol |
Value |
Origin |
Provenance grade |
|---|---|---|---|
\(\rho_{\rm SCm}\) |
\(7.09 \times 10^{-37}~{\rm J/m^3}\) |
Star-Magic.txt + PAPER_1271 |
B+ (Λ at 0.003%) |
\(\beta_i\) |
0.6029 |
PAPER_1203 Canonical v1.5 |
B |
\(\Phi_{\rm res}\) |
0.84 (5/6 nuclear) |
PAPER_646, PAPER_1203 Nuclear |
B+ (forces K_MEX exactness) |
\(F_{\rm TRZ}\) |
1/10 |
PAPER_1160 (\(= 1/|{\rm SO}(5)|\)) |
A (two independent paths) |
Derivative primitives (2 — PROVEN, PAPER_1521/1522)
Symbol |
Derivation |
Value |
|---|---|---|
\(D_{\rm BSFG}\) |
\(D_{\rm crit} - 2 \cdot {\rm SO}_5\) |
26 − 20 = 6 EXACT |
\(K_{\rm MEX}\) |
\(\Phi_{5/6} \cdot {\rm SO}_5 / D_{\rm phys}\) |
(5/6)·10/4 = 25/12 EXACT |
Other locked quantities
Three additional values are locked but may yet prove derivative:
\({\rm SSq} = 0.57\) — PAPER_1154 first-principles; exhaustive numerical search has NOT reduced it to other primitives (see Primitive provenance audit Q3 resolution).
\(S_{26} = 1.453162\) — derived from SSq via Ramanujan polylogarithm.
\(\omega_{\rm SCm} = 1.25~{\rm THz}\) — Holmlid phonon carrier (single experimental anchor).
Why the 9-count matters
The parameter-economy comparison against the Standard Model + ΛCDM (\(k = 26\) parameters):
A ΔBIC of 94.1 is “decisive” by the standard Kass-Raftery interpretation:
ΔBIC range |
Evidence |
|---|---|
0 – 2 |
Negligible |
2 – 6 |
Positive |
6 – 10 |
Strong |
> 10 |
Decisive |
> 20 |
Very decisive |
> 100 |
Overwhelming |
UQFF’s 94.1 falls solidly in “decisive” — and approaches “overwhelming” — purely on parameter-count grounds, before considering residual quality.