Dear Alfred Tang,
Very good compilated essay!
Your statement, that the limit of physics isn't the same that the physics of limits is well done.
Defining the limits of physics from outside the physical universe with the help of the inside-physics cannot work due to Gödel's findings.
But, defining the physics of limits can be done with the inside-information via Gödel by contemplating that one needs additional assumptions to decide the "limits of physics".
One possible additional assumption is indeed that there could be a supernatural realm, maybe linked with consciousness, logics and the principle of di-unity (as i tried to expose in my own essay here on fqxi.org).
Tri-unity is also very interesting, because it follows directly out of di-unity via extension, self-mapping and consistency.
It is no accident that the christian trinity of Father, son and holy ghost has its analogon in the di-unity of physical light and the corresponding "wave-function" ("complementarity").
There are several other tri-unities in nature as well. For example the diationic system in music is based on the three primes 2,3 and 5 (which are also the aspect ratios of the pythagorean triangle).
Also we have the three prime colours realized in the three cones of our eyes which can be adressed with only two overlapping monochromatic pictures to built the full "three-coloured" picture again in the apparatus of the eyes (Edwin Land).
In biology we have the bacteria and archeons that led to eucaryonts. We have selection, mutation and reproduction in evolutionary biology.
Last but not least we have the three spatial dimensions and also the three "time-dimensions" of past, present and future. The three spatial dimensions maybe could be better understood if we follow the "holographic principle" which states that an equivalent description of reality can be achieved via a less-dimensional structure.
The three states of aggregation, fluid, gaseous and solid can be extended via the bose-einstein-condensate. It is not unthinkable that other tri-unities also can be extended in this way. For example the three-chromatic eye has an additional "complementary" cone which is sensible for the colour yellow to achieve the "Edwin Land" effect.
Feel free to check out my own essay in the current essay contest ("To be or not to be strictly deterministic?").
Best
Stefan Weckbach
