We introduce new non-static 6D braneworld model involving real 6D scalar field as the source of gravity. The brane is generated by the standing waves of gravity and real scalar field oscillating in the bulk. The oscillations are out of phase in time, so that the oscillation energy transfers back and forth between the standing waves of gravity and real scalar field. Underlying geometry of 6D spacetime has no horizons, the brane has one internal (on-brane) extra dimension which is compact and sufficiently small to describe our universe (hybrid compactification), and there is also one external to brane (off-brane) extra dimension, which is large or even infinite for the observers on the brane. We show that there are two different physical limits realizing the trapping of classical particles and light and also of massless scalar fields on the brane. In the first one, the amplitude of standing waves must be sufficiently large, while in the second one the amplitude of standing waves can be small enough. We show that in both cases particles and light, as well as massless scalar fields, are dynamically trapped on the brane by the pressure of bulk standing waves of gravity and real scalar field.

中文翻译：

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具有实标量场的 6D 驻波膜世界

我们引入了新的非静态 6D 膜世界模型，涉及真实的 6D 标量场作为重力源。膜是由重力驻波和在体中振荡的实标量场产生的。振荡在时间上是异相的，因此振荡能量在重力驻波和真实标量场之间来回传递。6D 时空的底层几何结构没有视界，膜有一个内部（膜上）额外维度，该维度紧凑且足够小以描述我们的宇宙（混合紧密化），并且还有一个外部（膜外）额外维度维度，对于膜上的观察者来说是大的甚至是无限的。我们表明，在膜上实现经典粒子和光的俘获以及无质量标量场的俘获有两种不同的物理限制。在第一个中，驻波的幅度必须足够大，而在第二个中，驻波的幅度可以足够小。我们表明，在这两种情况下，粒子和光，以及无质量的标量场，都被大量驻波重力和实标量场的压力动态捕获在膜上。