LIGO and Virgo have detected vibrations of our living space. Huge accidents in space caused these phenomena. They occurred at enormous distances. We may ask ourselves whether we have theories that describe these vibrations. For example, does the wave equation describe these phenomena? An even more intriguing question is whether such phenomena exist in much smaller versions and occur in our direct neighborhood. For example, can point-like actuators create gravitation waves? The Poisson equation features a Green’s function as the response to a point-like actuator. If the wave equation replaces the Poisson equation, then the point-like actuator causes a spherical shock front. The integration of the spherical shock front results in the Green’s function. The Green’s function has a non-zero volume. Thus, the spherical shock front causes a non-zero volume that quickly spreads over the affected field. The volume does not vanish. Instead, it adds a permanent contribution to the volume of the field. In other words, the trigger expands our living space a tiny bit. It also temporarily deforms our living space a tiny bit. Thus, temporarily the spherical shock front owns a small amount of mass. Having mass is equivalent to having the ability to deform the carrier that embeds the owner of the mass.
Is this the mystery behind the origin of mass? The phenomenon quickly fades away. So, the phenomenon is transient. Only the extension of the volume of the field is persistent.
Only a recurrently regenerated swarm of actuators that trigger spherical shock fronts, which overlap each other in time and space, can generate a persistent deformation of the field.
The wave equation also features other solutions, which are shock fronts. Shock fronts only occur in odd numbers of dimensions. So apart from the spherical shock fronts also one-dimensional shock fronts exist. During travel, these shock fronts keep the shape and the amplitude of the front. They do not alter, and they certainly do not integrate into a volume. If the actuator emits these shock fronts at equidistant instants, and restrict the length of the produced string such that it obeys the Einstein-Planck relation E = h v, then the string implements the functionality of a photon. This fact means two things. First, each of the one-dimensional super-tiny shock fronts carries a standard bit of energy. Second, the photon does not own mass, and therefore also the one-dimensional shock fronts do not carry mass. Instead, each super-tiny spherical shock front carries a standard bit of mass. However, this mass quickly fades away.
This story indicates that mass of an object relates to a change in the volume of the field that gets deformed by the interaction with that object. The story also explains the expansion of the universe.
The story tells that nature features two categories of super-tiny objects, which are shock fronts that are triggered by point-like actuators. The shock fronts only occur in an odd number of dimensions. The super-tiny spherical shock fronts represent a standard bit of mass. The super-tiny one-dimensional shock fronts carry a standard bit of energy. In isolation, the effect of these objects is so small that they cannot be perceived. They are truly dark quanta.