Having got quite excited last month to reconnect with Martin Rowland’s simple presentation of the mathematical symmetries at the root of fundamental physics several neat graphic representations turned up via Twitter just this week.

Now normally I react to flashy graphics in science as giving too much mis-placed concrete credence to someone’s speculative musings – especially since flashy graphics are a free ticket-to-ride in the media. Sex sells, even metaphorically. (A real *memetic* problem). But two caught my eye initially, and then a thread by @katoi followed:

It started with this article in Quanta Magazine (h/t @AnitaLeirfall) which includes this wonderful dynamic 3D simulation:

(*If you get lost, simply zoom back out, navigation is a little tricky, but worth exploring / interrogating*.)

One of my reservations is still that for all its elegance and symmetries, the standard model is more than just missing some element that explains gravity and dark matter & energy at the cosmic scale, but must still be fundamentally flawed in some way we don’t recognise, probably to do with ** our default physicalist view (*)** of the world. But this is indeed neat.

[*Post Note: (*) “Our view” means we have to take Anthropic effects seriously, see footnote re Nima’s view*.]

Shortly after that, these turned-up …

… in this tweet.

Revelation of the day:

4π r2 is the ONLY mathematical function that actually IS an equation; because it explains two completely different geometries at once.

Both solutions are correct and yet the answer can only be either one solution or the other, not both at the same time. pic.twitter.com/Nf167tUHvv— katøi (@katoi) October 27, 2020

Now I didn’t, still don’t, fully understand the “actually is an equation” point, but have always been fascinated by the equivalence relation between the four circles in 2D space and the one sphere in 3D space, especially also given flat / curved space considerations?

Anyway @katoi followed that up today with a thread explaining the significance:

Revelation Of The Day: 4 yrs, 4 mths, 3 weeks & 1 day after meeting Nima Arkani-Hamed at Princeton, I realised the Higgs is defined not by 0, but by the r in 4π r^2

The universe is an average of 4+2 dimensions

Gravity is 4^1/2 (inverse square)

The r makes this👇🏼algebraic.#bingo pic.twitter.com/HRKxR8MQaM— katøi (@katoi) October 28, 2020

Revelation Of The Day #2:

The universe isn’t one single inflating ‘thing’, it’s an aggregation of ‘spin’.

Einstein is wrong but Nima Arkani-Hamed is right when he says this is literally all it’s possible to be made of. The only errors are the static values of gravity & the Higgs. pic.twitter.com/tbg6HjnPeO— katøi (@katoi) October 28, 2020

Revelation Of The Day #3:

Gravity doesn’t have a value of spin 2 without the presence of the Higgs field. Einstein accidentally added them together 0+2/1=2, rather than taking the average of both 0+2/2=1

Universe literally means ‘all turned into one’.

It’s a spin network.#bingo https://t.co/Akfbb9sVBU— katøi (@katoi) October 28, 2020

Revelation Of The Day #3:

Einstein hid his error (ignoring the Higgs ‘spin’ of zero) and created a spin 2 gravity based model.

He hid the 2 in the square of the speed of light & therefore drew straight lines through a static space that aren’t there that he bent with geometry.

🤦🏼♀️— katøi (@katoi) October 28, 2020

Revelation Of The Day #4:

m=E/ c ^2

∴

E=mc ^2Therefore Einstein can do General relativity as geometry using a constant speed (distance/time) measured from the surface of a sphere & completely ignore E (energy).

the 2 in E=mc2 isn’t a square, it’s spin 2.

it’s gravity 😮👇🏼 https://t.co/yokVI44LYT pic.twitter.com/IOHqz7HTAC— katøi (@katoi) October 28, 2020

Revelation Of The Day #5:

Einstein could accidentally hide spin 2 of gravity as the square of a constant, not because planets are spherical, but because non existent massless photons are. He didn’t notice because he left out a non spinning (unknown at the time) spin 0 Higgs field https://t.co/eXQ8yEIOqK— katøi (@katoi) October 28, 2020

Revelation Of The Day #6:

Quantum mechanics works beautifully not because it’s complete, but because it isn’t.

It does this by adding two (2) ‘hypothetical massless particles’ (photon/gluon)as force carriers, thus hiding the contribution of spin 2 (force of gravity) at all scales https://t.co/joiMt9onzP pic.twitter.com/jbpSM1QlqR— katøi (@katoi) October 28, 2020

For anyone wondering what I’m talking about, watch this lecture:

Why is there a Macroscopic Universe? https://t.co/jLzBWgJzrI

It explains why the universe must be a spin network, not a 4d ‘space’.

Spin 0 = Higgs

Spin 2 = Gravity

Spin 1 = undefined🖕🏼Spin 1 is big, big problem. https://t.co/GRtSOfzqQq pic.twitter.com/W4rHOqo2wi

— katøi (@katoi) October 28, 2020

=====

[Post Note:

Still digesting and watch the YouTube Video(s), (as well as investigating @katoi’s web site nounicorns – which has very little content yet?)

Oh, and wow! … the thread that keeps giving … the point of Nima Arkani-Hamed being the presenter is a non-PC / non-knee-jerk stance wrt to Anthropics … Carter, Barrow & Tipler … the *inevitability* … Wonder if Rick ever tied-up his ideas with Nima’s ?

(*The handwritten graphic used by Katoi above is Nima’s*)

It’s not about (mere) details,

but about (deep) structural issues

… I may be some time … ]

[And @Katoi continues the revelatory thread the following day, starting here ..

Revelation Of The Day #1: There are only 5 Platonic solids because below a tetrahedron we logically have a circle & above dodecahedron we have a dimensionless singularity.

Both have a limit of r ^2 relative to ‘a potential surface’. Scale becomes irrelevant ‘potential’ doesn’t 😮 pic.twitter.com/qlRhg0H4iZ— katøi (@katoi) October 29, 2020

… more to follow?]