标题： 从优选框架看的K-本质流$S_{V}$。 具有朗道超流结构的标量场理论 显示英文标题

标题： The K-essence flow seen from the preferred frame $S_{V}$. A scalar field theory with Landau superfluid structure

摘要： 我们研究了由于引入相对于一个优选参考系的普遍最小速度而产生的洛伦兹变换不变性变形假设。 我们在此工作中的目标是将这一假设应用于超流体，并研究其后果，将最小速度与流体的概念联系起来，具有超流体特性。 在以前的研究中，我们将最小速度与宇宙常数甚至宇宙暴胀联系起来。 很快，我们可以生成一种假设的超流体，能够以具有暗能量特性的宇宙学流体特征进行建模。 这种普遍超流体的第一激发态是一个优选参考系，从该参考系中观察到所有其他激发态，然后我们将有一个与临界兰道速度相关的优选参考系$S_{V}$，这意味着普遍最小速度与临界兰道速度一致，由优选参考系观察到的物体是超流体的激发态。 最小速度概念与兰道临界速度之间的这种一致性使兰道临界速度成为一种极限速度，修改了狭义相对论的通常因果结构。 在这种优选参考系中表述现象将具有提供与因果结构相关的天体物理和宇宙学现象的简单解释的优势，这种因果结构由此构造产生，并且非常类似于与戈登几何和声速快子相关的因果结构。 我们构建了一个变形的相对论拉格朗日量，证明了它与K-本质拉格朗日量的关系，并计算了与该拉格朗日量相关的量。 我们还研究了无旋流体，并验证了与最小速度结构相关的焓的作用。 显示英文摘要

摘要： We study the hypothesis of deformation of the invariance of Lorentz transformations produced by the introduction of a universal minimum velocity relative to a preferred frame. Our goal with this job is to apply this hypothesis to superfluids and study its consequences relating the minimum velocity to the idea of a fluid, with superfluid properties. In previous works we related the minimum velocity to the cosmological constant and even to cosmic inflation. Soon we could generate a hypothetical superfluid capable of modeling with characteristics of a cosmological fluid with dark energy properties. The first excited state of this universal superfluid would be a preferred frame from which all other excited states are observed and then we would have a preferred frame $S_{V}$ associated with the critical Landau velocity, thus implying that the universal minimum velocity coincides with the critical Landau velocity, and the objects observed by the preferred frame are excited states of the superfluid. This coincidence between the concepts of minimum velocity and Landau's critical velocity makes Landau's critical velocity a type of limit velocity, modifying the usual causal structure of restricted relativity. Formulating the phenomena in this preferred frame would have the advantage of providing a simple explanation for astrophysical and cosmological phenomena linked to a causal structure, which emerges from this construction and is very similar to causal structures linked to Gordon geometry and acoustic tachyons. We build a deformed relativistic Lagrangian, demonstrate its relation with a K-essence Lagrangian and calculate the quantities associated with that Lagrangian. We also studied an irrotational fluid and verified the role of enthalpy associated with the minimum velocity structure.