Star Tetrahedron Quantum Vortex Solutions

Extended Quantum States n = -64 to +64 | Merkaba Geometry Mapping

Star Tetrahedron (Stella Octangula/Merkaba) Quantum Mapping:
n = ±8, ±16, ±24, ±32, ±40, ±48, ±56, ±64 map to vertices
n = ±4, ±12, ±20, ±28... map to edge centers | n = 0 is the singularity Golden Ratio φ points: n = ±5, ±8, ±13, ±21, ±34, ±55

Case 1: Fixed Radius (r = r_p)

n = 0 (Singularity)

Quantum Number n: 0

n = 0

Case 2: Fixed Mass (m = m_p)

n = 0 (Singularity)

Quantum Number n: 0

n = 0

Quantum State Properties

Case 1: Energy (Fixed r)

E = 0

Case 1: Angular Momentum

L = 0

Case 1: Chirality

Neutral

Case 2: Radius (Fixed m)

r = 0

Case 2: Angular Momentum

L = 0

Case 2: Chirality

Neutral

Tetrahedral Symmetry

T_d

Phase Angle

0°