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首页> 外文期刊>Advances in applied Clifford algebras >Clifford Algebraic Unification of Conformal Gravity with an Extended Standard Model
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Clifford Algebraic Unification of Conformal Gravity with an Extended Standard Model

机译：克利福德代数统一，具有扩展标准模型的保形重力

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摘要

A Clifford unified gauge field theory formulation of conformal gravity and Yang-Mills in is elaborated further. It is shown how the group has for physically relevant subgroup the one given by , and which is compatible with the Coleman-Mandula theorem (in the absence of a mass gap). The proposals presented here for a Clifford algebraic unification of conformal gravity with an extended standard model deal mainly with models of four generations of fermions. Mirror fermions can be incorporated as well. Whether these mirror fermions are dark matter candidates is an open question. There are also residual groups within this Clifford group unification scheme that should play an important role in cosmology in connection to dark matter particles coupled to gravity via a bimetric extension of general relativity. Other four generation scenarios based on algebras, supersymmetric field theories and quaternions are discussed.
机译：进一步详细阐述了夹杂制统一规范领域制剂的保形重力和阳铣刀。 显示该组织如何为物理相关的子组给出，它与Coleman-Mandula定理（在没有质量差距的情况下）。 此处提出的提案，用于悬浮型重力的综合性重力，主要与扩展标准模型交易主要与四代费米子的模型。 镜子蜕皮也可以纳入。 这些镜子费米子是暗物质候选人是一个开放的问题。 该克利福德组统一方案中还存在残留群体，该方案应该在宇宙学中发挥重要作用，该宇宙学通过一般相对性的双透视延伸而耦合到重力的暗物质颗粒。 讨论了基于代数，超对称域理论和四季度的四个一代情景。

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