In this paper we discuss how the Magueijo-Smolin Doubly Special Relativity proposal may be obtained from a singular Lagrangian action. The deformed energy-momentum dispersion relation rises as a particular gauge, whose covariance imposes the non-linear Lorentz group action. Moreover, the additional invariant scale is present from the beginning as a coupling constant to a gauge auxiliary variable. The geometrical meaning of the gauge fixing procedure and its connection to the free relativistic particle are also described.

中文翻译：

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5维SO（1,4）不变作用是Magueijo-Smolin双相对论提议的起源

在本文中，我们讨论了如何从奇异的拉格朗日行动中获得Magueijo-Smolin双相对论提议。变形的能量动量色散关系随着特定的量规而升高，其协方差强加了非线性洛伦兹群作用。此外，附加的不变标度从一开始就作为与量规辅助变量的耦合常数存在。还描述了量规固定程序的几何意义及其与自由相对论粒子的联系。