pub type ComplexMultiVector = CausalMultiVector<Complex64>;Aliased Type§
pub struct ComplexMultiVector { /* private fields */ }Implementations§
Source§impl ComplexMultiVector
impl ComplexMultiVector
Sourcepub fn new_complex_pauli(data: Vec<Complex64>) -> Self
pub fn new_complex_pauli(data: Vec<Complex64>) -> Self
Cl_C(2): Complex Quaternions / Pauli Algebra over C Note: The Clifford factor L_C ~ Cl(0, 1) and L_H ~ Cl(0, 2) are negative definite. However, the canonical complex Pauli Algebra is often taken as Cl(2, 0). We retain Euclidean(2) here for the canonical Cl_C(2) ~ Cl(2, 0) definition.
Sourcepub fn new_complex_clifford_2(data: Vec<Complex64>) -> Self
pub fn new_complex_clifford_2(data: Vec<Complex64>) -> Self
Cl_C(2): Complex Quaternions / Pauli Algebra over C Note: The Clifford factor L_C ~ Cl(0, 1) and L_H ~ Cl(0, 2) are negative definite. However, the canonical complex Pauli Algebra is often taken as Cl(2, 0). We retain Euclidean(2) here for the canonical Cl_C(2) ~ Cl(2, 0) definition.
Sourcepub fn new_quaternion_operator(data: Vec<Complex64>) -> Self
pub fn new_quaternion_operator(data: Vec<Complex64>) -> Self
Cl_C(4) (Full Multiplication Algebra of the Quaternions, M_H ~ Cl(0, 4)). This algebra hosts the Spin(4) ~ SU(2)_L * SU(2)_R symmetries of the Pati-Salam and LR Symmetric models. It is a key building block for the electroweak sector.
Sourcepub fn new_complex_clifford_4(data: Vec<Complex64>) -> Self
pub fn new_complex_clifford_4(data: Vec<Complex64>) -> Self
Cl_C(4) (Full Multiplication Algebra of the Quaternions, M_H ~ Cl(0, 4)). This algebra hosts the Spin(4) ~ SU(2)_L * SU(2)_R symmetries of the Pati-Salam and LR Symmetric models. It is a key building block for the electroweak sector.
Sourcepub fn new_octonion_operator(data: Vec<Complex64>) -> Self
pub fn new_octonion_operator(data: Vec<Complex64>) -> Self
Cl_C(6): The algebra acting on Octonions (via Left Multiplication), L_O ~ Cl(0, 6) Used for the initial decomposition in the paper (Spin(10) -> Pati-Salam).
Sourcepub fn new_complex_clifford_6(data: Vec<Complex64>) -> Self
pub fn new_complex_clifford_6(data: Vec<Complex64>) -> Self
Cl_C(6): The algebra acting on Octonions (via Left Multiplication), L_O ~ Cl(0, 6) Used for the initial decomposition in the paper (Spin(10) -> Pati-Salam).
Sourcepub fn new_dixon_state_space(data: Vec<Complex64>) -> Self
pub fn new_dixon_state_space(data: Vec<Complex64>) -> Self
Cl_C(6): The algebra of the Dixon state space, A = CHO ~ Cl(0, 6) This is used to host the 64 complex components of the Standard Model generations.
Sourcepub fn new_dixon_algebra_left(data: Vec<Complex64>) -> Self
pub fn new_dixon_algebra_left(data: Vec<Complex64>) -> Self
Cl_C(8): The Left Multiplication Algebra of the Dixon Algebra, L_A ~ Cl(0, 8) L_A = L_C * L_H * L_O ~ Cl(0, 1) * Cl(0, 2) * Cl(0, 6) ~ Cl(0, 8). This is used to host Spin(8) triality and the Cl(6) decomposition.
Sourcepub fn new_complex_clifford_8(data: Vec<Complex64>) -> Self
pub fn new_complex_clifford_8(data: Vec<Complex64>) -> Self
Cl_C(8): The Left Multiplication Algebra of the Dixon Algebra, L_A ~ Cl(0, 8) L_A = L_C * L_H * L_O ~ Cl(0, 1) * Cl(0, 2) * Cl(0, 6) ~ Cl(0, 8). This is used to host Spin(8) triality and the Cl(6) decomposition.
Sourcepub fn new_gut_algebra(data: Vec<Complex64>) -> Self
pub fn new_gut_algebra(data: Vec<Complex64>) -> Self
Cl_C(10): The Grand Unified Algebra (Spin(10)) ~ L_A * R_H ~ Cl(0, 10) This is the full multiplication algebra of A = RCH*O.
Sourcepub fn new_complex_clifford_10(data: Vec<Complex64>) -> Self
pub fn new_complex_clifford_10(data: Vec<Complex64>) -> Self
Cl_C(10): The Grand Unified Algebra (Spin(10)) ~ L_A * R_H ~ Cl(0, 10) This is the full multiplication algebra of A = RCH*O.