n.不变性，不变量，不变式

The principle of invariance states that the laws of physics are the same everywhere in the universe.
不变性原理指出，物理学定律在宇宙的任何地方都是一样的。
This theory is based on the assumption of scale invariance.
这个理论是基于尺度不变性的假设。
The concept of gauge invariance is crucial in understanding the behavior of elementary particles.
规范不变性的概念对于理解基本粒子的行为至关重要。
The conservation of energy is an example of a physical law that exhibits time invariance.
能量守恒是一个表现出时间不变性的物理定律的例子。
The property of translation invariance ensures that the laws of physics remain the same regardless of where we perform our experiments.
平移不变性的属性确保了无论我们在哪里进行实验，物理定律都是相同的。
The principle of rotational invariance explains why the laws of physics don't change when we rotate our coordinate system.
旋转不变性原理解释了为什么当我们旋转坐标系时，物理定律不会改变。
Lorentz invariance is a fundamental aspect of special relativity, stating that the laws of physics are the same for all inertial observers.
洛伦兹不变性是狭义相对论的一个基本方面，它声明物理定律对所有惯性观察者来说都是一样的。
Conformal invariance plays an important role in two-dimensional field theories and string theory.
共形不变性在二维场论和弦理论中起着重要的作用。
The symmetry of space-time under general coordinate transformations is known as diffeomorphism invariance.
在一般坐标变换下的时空对称性被称为微分同胚不变性。
Scale invariance can be broken spontaneously, leading to interesting phenomena such as phase transitions in condensed matter systems.
尺度不变性可以自发地被破坏，导致诸如凝聚态系统中的相变等有趣现象。