Photons, warps, clamps and particles
The physical community has a wrong idea about the nature of photons. Photons are not waves. They cannot be waves, because in free space waves tend to spread in all directions and quickly lose their amplitude. A wave send from the nearest galaxy will reach us with a negligible amplitude and a tiny detector like the human eye will never catch it. Electromagnetic fields depend on the nearby existence of electrical charges. Also, the electrical fields diminish their amplitude quickly as 1/r with distance r from the charge. Thus, this field makes not a good carrier for transporting information as photons do.
Consequently, photons must be different things. Instead of waves, they are strings of equidistant warps. The name warp is a name that I invented to have an easy indication for a special type of solution of a homogeneous second order differential equation that describes part of the behavior of the field that carries the photons. A warp is a one-dimensional front that keeps its shape and its amplitude when it travels through the field. The front moves analogous to the bump that travels in a long rope when a sudden jerk moves the rope up and down. The warp does not deform the field. It just shudders it a little. The warps can bridge a huge distance without losing its integrity. Each warp carries a bit of energy and that bit can be interpreted as information. A warp has no frequency, but the photon, which is a string of equidistant warps has a well-defined frequency. The photon may rotate around its axis of movement. This determines the polarization of the photon. Warps and thus the photons move with fixed speed through its carrier field. The photons obey the Planck-Einstein relation. E=h ν . This means that the photon emitter must keep emitting warps at equidistant instants during a fixed period that is independent of the frequency of the photon. A similar rule holds for the absorber of the photon.
The fact that photons do not deform their carrying field does not mean that other objects cannot deform that field. Massive elementary particles do deform this field. We know this carrying field as the gravitation field. Elementary particles are point-like objects that hop around. Each hop landing generates a clamp. I invented the name clamp to have an easy indication for another special type of solution of the homogeneous second order differential equation that describes part of the behavior of the field that carries the photons and embeds the elementary particles. Clamps are spherical fronts. They also move with light speed. However, the clamps quickly lose their amplitude with increasing distance from the hop landing location. The hops form a hopping path and after a while the hop landings have formed a location swarm. After integration over a long enough period the clamps form the Green’s function of the field. That Green’s function represents the deformation of the field, which is due to the clamp. If the Green’s function is convoluted with the location density distribution that describes the swarm of clamps, then the deformation of the field that is due to the swarm results. This is the deformation of the living space of the elementary particle.
Thus, clamps do deform the embedding field, while warps only shudder the field. However, the hops that trigger the clamps must be continuously regenerated to make the deformation persistent. Otherwise, the deformation fades away. A mechanism that applies a stochastic process generates the landing locations of a hopping path and these landings form the swarm of clamps.
Together with a progression stamp, the hop locations are stored in the eigenspace of an operator that is private to the elementary particle. The corresponding eigenvector spans a ray. That ray is a one-dimensional subspace of the separable Hilbert space that is part of the subspace that represents the vane that scans the whole Hilbert space as function of progression. The vane represents the current status quo of reality. The vane is a part of reality that appears to proceed with universe wide steps through universe and all elementary modules step with that vane.
Each infinite dimensional separable Hilbert space owns a unique non-separable Hilbert space. That companion harbors operators that have continuum eigenspaces. The embedding continuum is such an eigenspace. This invites to consider the embedding of the elementary particles as an ongoing embedding of the separable Hilbert space into its non-separable companion.
The stochastic process that generates the hopping locations of the elementary particle owns a characteristic function. This function is the Fourier transform of the location density distribution that describes the location swarm. This means that the swarm owns a displacement generator. Thus, at first approximation the swarm moves as one unit. It also means that the location density distribution can be considered as a wave package. Moving packages of waves tend to disperse. However, the swarm is continuously regenerated and this prevents dispersion of the dynamic location density distribution.
This model offers two views. The first view is the storage view. It shows how all dynamic geometric data are stored in eigenspaces of operators that reside in the separable Hilbert space. The embedding process introduces a corresponding storage of the embedding field in the companion non-separable Hilbert space. The second view is the observer’s view. Here we consider all elementary particles and all modules that are constructed from these elementary modules as observers. The observers only get their information from the past and it is brought to them via vibrations and deformations of continuums that embed them. The result is that the observers get a different impression of their environment than the storage view represents. The observers view a spacetime structure that features a Minkowski structure. The storage view uses quaternions that expose a Euclidean structure. Together both views offer a complete picture of what is happening.
The embedding field is not the only field. Elementary particles have properties that are related to these other fields. Only the rest mass of the particle relates to its interaction with the embedding field. The rest mass is proportional to the number of clamps that are contained in the hopping location swarm that represents the particle.