• Spectral Standard Model and string compactifications, *Physics Forums*, 26 September 2016.

• Vacuum state, Wikipedia.

]]>I have looked at your very interesting lecture on the number 5 on You tube. I am an artist who has worked on Penrose tiling symmetries for some years. I find that the best way to structure such symmetries is to build the basic shapes (2 for Penrose tiling, 3 for tiles with heptagonal angles) into overlapping clusters. These serve as building blocks that can be arranged to have their central point on the junctions of an enlarged (meta) cluster. In essence, the cluster provides a matrix for distributing the arrangements of (smaller) cluster symmetries.

It is also possible to arrange the basic shapes as simple rows of tiles (each row containing one type of shape oriented in the same direction to create a checkerboard). This then can also serve as a matrix for arranging the Penrose tiling clusters. This way it should be possible to demonstrate that the tiling does cover the plane and repeat itself.

If you would like some images of pentagonal and heptagonal Penrose tiling for your collection, feel free to email me.

]]>In this null space, when you add one to zero you must balance it with a negative one. That in between is the universe. This is just a thing I like to play around with. It’s not quite as much a hypothesis for physics than it is a modus for me to approach physics ideas on a more philosophical level, since I’m not that great at math, well certainly not as good as physicists. The hypothesis comes in that everything was once null, and something caused it to have value, but if you add everything together it still equals zero and camels itself out.

I first toyed with this I first heard about string theory. If particles are metaphorically strings vibrating at different frequencies to produce their properties and how they react with other particles, then they must be vibrating back and forth across a zero value. When combined with all particles this is the ‘song’ of the universe. If you were to silence that vibration we would be back to zero. Nothing would exist.

I still struggle with this because it means something has to vibrate. That would mean the universe is only a continuum, and what we see from it are properties produced from that fabric vibrating. If you silenced all the vibrations it equals zero. But zero is still a value, and null is no value. If you silence the universe and return to it zero, does that also return it to null?

What makes up this fabric of space-time then to even have a zero value and dictate all our physical laws? There must be a null space that the fabric exists within and some means that generated our space to anchor that fabric into space.

That question will be the death of me, especially since I don’t have the right type of mind to do the math and figure it out, or make it halfway through a paper written by someone who can.

]]>Still, my opinion is that even the Big Bang itself is hardly a singular event — even if technically a ‘singularity’, because I embrace the Turok-Steinhardt model of an ekpyrotic universe, based on my own mentation, studies, and quasi-religious beliefs. Black holes, on the other hand, or even cosmic strings for that matter, are clearly not singular in any sense of the word, even if there is no ekpyrotic (cyclic) aspect to the Multiverse/Universe.

]]>Christodoulou proved that Minkowski spacetime is indeed stable.

Interestingly, this is most likely not true for AdS

see e.g. arxiv.org/abs/1506.03519

I am not sure what this means, if anything, for AdS/CFT …

And yes, it’s amusingly difficult to talk about an HTML character code on a WordPress blog, because to do so you need to use the HTML character code for at least one character in the HTML character code. We’re practically skating on the brink of Gödel’s incompleteness theorem here.

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