广义洛伦兹量子宇宙对称群
Extended-Lorentz Quantum-Cosmology Symmetry Group
摘要：
可由Milne量子宇宙（MQU）希尔伯特空间向量的变换统一表示的是9参数“扩展洛伦兹”李群，其代数包括9个保守的MQU组成（“quc”）属性：电荷、能量、螺旋性、3向量动量和3向量角动量。通过3元洛伦兹扩展子代数与全对称代数的交换通过其（永久）电荷、螺旋度和能量整数的三重奏来识别任何quc。米尔恩的红移指定的“宇宙年龄”是不变的MQU对称群。也不变的是（其他地方指定）宇宙哈密顿量-一个自伴年龄相关的希尔伯特空间算子（不是一个代数成员），通过“薛定谔”（一阶）微分方程产生宇宙演化随着年龄的增加。
英文摘要：
Unitarily representable by transformations of Milne quantum-universe (MQU) Hilbert-space vectors is a 9-parameter 'extended-Lorentz' Lie group whose algebra comprises 9 conserved MQU-constituent ('quc') attributes: electric charge, energy, spirality, 3-vector momentum and 3-vector angular momentum. Commutation with the full symmetry algebra by the 3-element Lorentz-extending sub-algebra identifies any quc by its (permanent) trio of charge, spirality and energy integers. Milne's redshift-specifying 'universe age' is invariant under the MQU symmetry group. Also invariant is the (elsewhere specified) universe hamiltonian--a self-adjoint age-dependent Hilbert-space operator (not a symmetry-algebra member) that generates universe evolution with increasing age through a 'Schrodinger' (first-order) differential equation.
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