Dear Peter van Gaalen,
You write: 'But do you have any justification for that continuous spacetime can't exist?'
Yes, I have a very important justification for that continuous spacetime can't exist: 1) The Universe is expanding; In the first microseconds of expansion the Universe was very small and therefore finite in volume. In spite of expansion, the Universe will have the finite volume always. Since the Universe has a finite volume, it must have the edges (holes), because all objects with finite volumes have borders. And the space with holes is discontinuous. Thus, since the Universe is expanding, therefore it must be finite and discontinuous.
2) The fluctuation of distance between two bodies is a proof that spacetime is discrete, because it has the only explanation: the spatial atoms appear and disappear continually, forming holes, therefore the distance between two bodies fluctuates, because the hole does not have extent.
- ''Do you mean a spacetime atom as an object with different kinds of properties such as a discrete length? In what sense is it different from material atoms?''
The theory of spatial atoms is too long to fit in my essay because the essays size was limited by 25000 characters. On the other hand, the page for discussions is not a suitable place for publication of the theory of spatial atoms. Hence, after publication of this theory in the Journals, I'll inform you about. Therefore, now I can explain you in short only. Both spatial and matter atoms are physical objects having the extent, lifetime and other properties.
- ''But what is your mathematical justification for non-traversable "tunnels"?''
Wormholes have a mathematical justification because they really exist, it is a curvature of spacetime or Einstein-Rosen bridge. Wormholes have the 'throat' and mounts. Conversely, holes do not have throat and mounts; it is neither the Einstein-Rosen Bridge nor topological entity. Holes are nonmaterial objects; particles can jump over holes using Hole Teleportation only. Therefore, since the ''tunnel'' (hole) do not have extent, throat and mounts, we have nothing to describe mathematically. It is not a tunnel like wormhole. A shortcut between different regions of spacetime appears because all particles are suspended in the absolute void (hole). Therefore they can ''communicate'' through the hole using hole teleportation. Can you describe nothing mathematically?
Is your opinion different from quantum mechanics? My theory describes quantum mechanical phenomena (physically).
- ''And what do you think about probability waves that are continuous physical phenomena?''
In my theory a particle propagates as a cloud of teleportation events and there is a probability of finding the particle in a region. If the wave packet can be described MATHEMATICALLY as an infinite set of component sinusoidal waves, it does not means that they really are sinusoidal (continuous) waves.
- ''Are the media that wave continuous or discrete?''
All waves propagate in the discrete media only, for example the sound waves propagate in the air, metal or water; however all these media are discrete, consisting of atoms, molecules, particles. In the same way, spacetime also must be discrete. Can you find an example where a wave propagates in continuous media?
Friendly Regards,
Constantin