论文标题
在坐标图的固有波粒二元性上
On the intrinsic wave-particle duality of coordinate maps
论文作者
论文摘要
根据每个观察者的各自的休息框架之间的坐标图,分析了材料,点状观察者的相对运动。在假设下,这些地图为$ c^{2} $ - 定期推导了守恒定律,进而发现,这会产生熟悉的标量和纺纱场熟悉的波动方程。然后将波粒子二元论理解为这些坐标图的特性,而不是类似点状观察者本身的固有特性。另外,可以表明,这些观察者的相对加速只能通过引入其他潜在字段来实现。结果表明,如果每个观察者要与惯性的参考框架相关联,则电势场一定是一个无质量的仪表场。
The relative motion of material, point-like observers is analysed in terms of coordinate maps between the respective rest-frame of each observer. Under the assumption these maps are $C^{2}$-regular, conservation laws are deduced, which in turn are found to yield wave equations familiar as scalar and spinor fields. Wave-particle dualism is then understood as a property of these coordinate maps as opposed to an inherent property of the point-like observers themselves. Additionally it is shown that the relative acceleration of these observers can only be realised in this context by the introduction of additional potential fields. It is shown that if each observer is to be associated with an inertial frame of reference, then the potential field is necessarily a massless gauge field.