Phased fields

I am happy to see that dr. Cornelius published the results of our joint research on a publicly accessible forum. All too often scientific findings remain hidden behind paywalls, as unscrupulous publishers profit from the work of scientists forced to seek a high-impact journal to please their funding agencies.

It turns out that the Signal Cartel's information about some new spacetime anomalies appearing was right. They were wrong in assuming that the epicenter of this would be the Sentinel Military Zone. Rather, these new anomalies pop up a bit everywhere, and it is not clear what causes them. What we do know about them, is that they can lead to phase defects in our universe - and that may warrant a bit of an explanation. 

Apart from the three spatial dimensions and one temporal dimension that we can experience, the universe still has a lot of hidden dimensions, usually inaccessible. You can think of phase as one of these hidden dimensions. It differs in two important aspects from our usual spatial dimension (say, left or right on the x-axis). Firstly, it is a so-called "compact" dimension. It is not extended like our usual spatial dimensions, but it is curled up into a circle. So, if we would try to draw a map of one spatial dimension and the phase dimension, it would look like a cylinder, as in the figure below. Moving our usual left-right is moving parallel to the axis of the cylinder, whereas the angle around the cylinder represents the phase. 

The second difference with usual spatial dimensions is that we can move freely in the spatial direction, but not in the phase direction. You can choose where you stand along the line, but in each spot, you cannot choose your phase, it is fixed for you. You have to stay on the red line! The property of having a well defined phase value is also known as phase coherence, and it is very strong due to the large vacuum expectation value of the Higgs field and dark matter. 

There is another important property called "phase rigidity", meaning that the phase remains the same as you move along the line. You can imagine this as tension along the line on the cylinder. Think of it as a rubber band: it will tend to straighten out, and any fluctuations such as in (a) will quickly be brought back to situation (b). That is, we have over our usual space not only a well defined phase in each point, but also the same value of the phase as in all neighboring points.

Some very energetic natural processes (or human messing around with the phase rigidity by weakening the Higgs vacuum expectation value) allow to pull the string around the cylinder, as in figure (c) below.  Imagine pressing your finger down on the rubber band and moving it around the cylinder. It is very had if the rubber band has high tension! You need to keep your finger pressed down on the rubber band if you do not want it to snap back - and that is what the new technology of a phase anchor more or less does. 

By twisting the phase in this way, it is possible to intersect our universe line with a line of another universe, and access matter present in another universe, separated from us in phase space, and thus normally inaccessible to us. 

But playing around with that is dangerous! If you pull too strongly and bring it all around, such as in figure (d), you create two full phase windings around the cylinder: one clockwise and one anticlockwise around the cylinder. These could get separated, and then you would be left with a single winding, as in figure (e). Now there is no way that the tension in the rubber band will flatten this out any more! Pulling on the band no longer results in a straight line. We have created a "topologically protected" phase twist in our own universe. The only way to remove a clockwise winding, is by annihilating it with an an anticlockwise winding, which releases an enormous amount of energy stored in the phase field.

Hence the stark warnings of space-environmental organisations. It may start all good and well for mining, but before you know it we will have topologically protected phase windings roaming all over the universe causing havoc. And... it may also start a new arms race trying to create military applications such as phase recombination bombs. All this may end up seriously damaging spacetime, or rather, further damaging it, after the Seyllin incident already punched wormholes into it.