Lovely topic. Just covers my current research. Please, spare with me, this is still work in a progress and it is very very rough around edges.
Basically, one thing led to another. In all these years that I studied UFOs I somehow missed what Jacque Vallees had to say. And he was into ESP and into this multidimensional business. No need to mention I have great aversion towards spagetifying dimensions (aka String theory). So with all the respect for Vallees, I turned one very lazy ear towards his hyper dimensions talk.
But, than I stumbled on some ESP talk from physicist Russell Targ who was Puthoff's associate in Stanford Research Institute, where they together worked for 20+ years on ESP study project Stargate. Targ was very compelling with his ESP evidence and it's hard to imagine that project would attract funding for 20+ years without some tangible deliverables. And in his talk Tarig mentioned that he worked with another theoretical physicist from Standford Uni, Dr. Elisabeth Rauscher on formulating mathematical theory that would explain strong evidence that ESP works. Dr. Elisabeth Rauscher, although quite eccentric, has impressive track record in physics and many consider her as female Einstein.
The theory that Targ and Rauscher proposed was that, yes, there are only 4Ds, but all the four dimensions are complex (as in complex numbers). Mathematicians count each complex number as one dimension, although to me as a laymen it looks as 2D number. Never mind. Here is the clincher, when General Relativity and Quantum Mechanics are reworked so to be based on this 4D complex space-time than GR and QM get completely and seamlessly united. That's awfully nice surprise, because theory of big and small things had been at each other's throats since inception.
The way Targ and Rauscher explain ESP is that when complex numbers are introduced into GR and QM the imaginary part (very unfortunate choice of name) became a timeless and spaceless property of every particle. That timeless and spaceless property is the Shrodinger's QM wave function that is, from the moment of particle's creation, instantly available in the whole universe at once. In QM that's known as non-locality and it's counted as a fundamental principle. It had been proven that QM can not exist without non-locality. Every theory that would try to replace QM would still had to include non-locality. In practical terms non-locality is the same as the QM entanglement and entanglement is very real, it's used in quantum computing and many plain-vanilla coledge grade experiments.
Now, non-locality easily explains ESP, but it can possibly prove Vallee's Extra-dimensional Hypothesis. Big problem with Extra-Terestrial Hypothesis is that even if UFOs only traveled at a speed of light through interstellar vacuum, which is full of hydrogen atoms, for the ship itself it would be equivalent of traveling through Hadron Colider's beam that's the same size as the spacecraft's cross section. And Hadron Colider's beam, if used as a weapon is a beast, it can cut in a half a full size aircraft carrier in under 14 sec. Even with a warp drive etc., an UFO traveling back and forth, for say 12 months would have to endure that attrition throughout the whole journey. One way to avoid facing this self-inflicted beam of attrition is to travel multidimensional via some kind of worm hole, possibly created within these complex dimensions.
Further research actually discovered that the charm of the unification of GR and QM (not to mention ESP) through this simple replacement of real numbers with complex numbers had attracted a large number of mainstream scientists, who got lots of funding to dig in this direction. And following the money is a great way to reduce risk of being wrong. One of them is a group of about 10 mathematicians in a
Quantum Gravity Research, as well as, now very fashionable on physics lecture circuit
Dr. Rodger Penrose. Unfortunately Dr. Elizabeth Rouscher is now retired, but did some great books that dig deep into maths.
Just interesting.