论文标题
具有局部模量对称性的量子力学的非相关理论
A non-relativistic theory of quantum mechanics with local modulus symmetry
论文作者
论文摘要
我们基于局部模量对称性构建了量子力学的非权威论理论。协变量衍生物中所得的连接被确定为重力场的逃逸速度。一个称为量子度量函数的新的真实和正函数附加到波函数的复杂共轭物，以满足局部模量对称要求。在不断扩展的宇宙中，这些理论特征产生了新的效果，这些效应偏离了常规量子力学和牛顿重力的预测。量子度量函数对于微观对象产生可忽略不计的变化，但产生用于宏观对象的量子指针状态，从而为量子测量问题提供了解决方案。在新的量子运动学中，时间反转对称性被打破，这对热力学的第二定律具有影响。牛顿重力的修饰在较小的结合系统中可以忽略不计，但在银河尺度上可能会变得很重要。讨论了其与银河系系统中质量差异问题的潜在关联。
We have constructed a non-relativistic theory of quantum mechanics based on local modulus symmetry. The resulting connection in the covariant derivative is identified as the escape velocity of the gravitational field. A new real and positive function called the quantum metric function is attached to the complex conjugate of the wave function to satisfy the local modulus symmetry requirement. In an expanding universe, these theoretical features produce new effects that deviate from predictions of conventional quantum mechanics and Newtonian gravity. The quantum metric function yields negligible change for microscopic objects but produces quantum pointer states for macroscopic objects, thus providing a solution to the quantum measurement problem. The time-reversal symmetry is broken in the new quantum kinematics, which has implications for the second law of thermodynamics. The modification of Newtonian gravity is negligible in smaller bound systems but can become significant at the galactic scales. Its potential association with the mass discrepancy problem in the galactic systems is discussed.
