Uploads from Huygens Optics

Currently Playing: Mass as spatially confined energy.

This video shows a 2D-simulation of what can happen to wave energy if the medium is not linearly elastic but has an elasticity that is dependent on the local energy content. What the simulation shows that a standing wave can form that can locally confine wave energy without the presence of any physical boundaries. An addition analogy was made in the video to particles with mass. Since mass and energy are equivalent, and we know from experiments that particles with mass also have wave properties, it is likely that mass is just spatially confined wave energy. The video suggests that the mechanism behind this confinement has origins in space behaving as a elastic medium in a non-linearly at high oscillation frequencies. About the non-linearity: In a purely elastic medium, deformation is linearly dependent on the forces exerted. This dependency between deformation and force is described by the coefficient of elasticity. So if you exert a force to a point in the medium, deformations will progress through the material by forces that are always linear to the deformation between neighboring points in the material. For vibrational energy to be confined in a medium, the elasticity coefficient should not be constant but decrease with the amount of "stretching" of space (in other words with the potential energy). In a sense this is similar to how space is stretched or bent in the vicinity of a massive object, like a planet or a star. In the latter case, the speed of light (or the speed of information in general) is lower when the gravitational potential is higher. This allows for the bending of light around a massive object. To achieve the same at very small scales, we need to take a very high frequency EM-vibration that creates Electric field gradients beyond what is called the "Schwinger limit" (~1.3EXP18V/m, thanks to Patreon Pit for the reference) . Beyond this limit, space will start behaving non-linearly. This means that an electromagnetic wave with very high frequency and sufficient amplitude can create a "grating" in space that has 2 times the spatial frequency of the radiation itself. I say "grating" but in essence it's just a spatial variation in the properties of the vacuum, introduced by the wave energy itself. Such an internal grating can apparently effectively reflect and confine wave energy. It's as if space becomes one continuous Bragg reflector for the frequency that wants to penetrate it. About the simulation: I used the 2D-wave simulation script supplied to me by @DiffractionLimited channel. Unfortunately, the script currently does not allow the simulation of non-linear behavior of a medium. So what I did is imprint the expected gradient as circular sinusoidal variations of the refractive index of space. Then I supplied this space with the corresponding wave frequency. The simulation showed that, instead of the wave energy dissipating away like in an elastic medium, it was instead contained locally by the sinusoidal variations, which acts as a grating that essentially prevents the wave energy from escaping. This results in a standing wave that grows in amplitude. Now, you might say I cheated a bit with the non-linearity of the medium and that is of course true. I just implemented the expected effect of non-linearity as a static property in the simulation space. But this was the easiest way to prove my point. And the actual point is of course that variations in spatial properties of space in a medium that behaves in a non-linear way can effectively confine wave energy locally. I will in the future I will hopefully show that locally confined stable wave configurations can indeed create their own confinement in space. I expect that there will be many configurations, including some that have properties similar to for example "spin".