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VACUUM RESONANCE MAPPING

QUANTUM BRAID DYNAMICS (QBD) PARTICLE SPECTRUM

Topological invariants and geometric invariants of standard model fermions and gauge boson states mapped as emergent knot and rewrite systems on the relational pre-geometric vacuum substrate.

Three Generations of Matter (Fermions)
Generation I
Generation II
Generation III
Gauge Fields (Rewrites)
 
Vacuum Substrate & Unified Topology
 
UP-TYPE QUARKS
(Asymmetric Braids)
u
2.2 MeV+2/3 e
Up Quark
Writhe: +2/3
c
1,275.0 MeV+2/3 e
Charm Quark
C2 Crossing
t
172,900.0 MeV+2/3 e
Top Quark
Torsion Peak
g
0.0 MeV
Gluon
su(3) Adjoint Swaps
β₅
GUT Scale
COLOR SU(3)WEAK SU(2)
Pentaribbon
Unified State
DOWN-TYPE QUARKS
(Asymmetric Braids)
d
4.7 MeV-1/3 e
Down Quark
Writhe: -1/3
s
95.0 MeV-1/3 e
Strange Quark
S2 Crossing
b
4,180.0 MeV-1/3 e
Bottom Quark
B3 Crossing
γ
0.0 MeV
Photon
U(1) Frame Twist
β₃
Ground State
Tripartite Braid
Topological Quantum
CHARGED LEPTONS
(Symmetric Braids)
e
0.511 MeV-1 e
Electron
Writhe: -1
μ
105.66 MeV-1 e
Muon
Symmetric C2
τ
1,776.86 MeV-1 e
Tau
Symmetric C3
Z
91,187.6 MeV
Z Boson
su(2)L Neutrality
H
125.09 GeV
Higgs Boson
3-Cycle Condensate
NEUTRINOS
(Folded Loops)
νe
< 0.00012 MeV0
Electron Neutrino
Folded Gen I
νμ
< 0.19 MeV0
Muon Neutrino
Folded Gen II
ντ
< 18.2 MeV0
Tau Neutrino
Folded Gen III
W
80,379.0 MeV±1 e
W Boson
su(2) Charged Swaps
ρ*
μ* ≈ 0.4021
Vacuum Substrate
ρ* ≈ 0.03015 | μ* ≈ 0.4021
ΛL ≈ 1.61 × 10⁻³⁵ m