What is Reality? | INFJ Forum

What is Reality?

larcipelago

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Jan 4, 2020
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What is reality? This video explains in a very interesting approach? Anybody likes exploring this kind of fantacy (uhm science?)


It still doesnt answer is there any God though ...

May I summon @Pin to explain about pixelation theory?

May be @dragulagu has a bit interest in science too? May be?

Anyway, isnt she (the lady in the video) sweet?
 
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She reminds me a bit of Amber (looks, not character): https://house.fandom.com/wiki/Amber_Volakis

Anyway..

E8 Lattice / E8 Lie Group / E8 Lisi Theory

https://www.scientificamerican.com/article/garrett-lisi-e8-theory/
https://www.scientificamerican.com/article/mathematicians-team-up-wi/

Taken at face value, the theory sounds like an incredible discovery. It is based on a remarkable mathematical structure called E8. With 248 dimensions, E8 is the largest, most complicated and most beautiful of five idiosyncratic objects known as the exceptional simple Lie groups. (The title of Lisi’s paper, "An Exceptionally Simple Theory of Everything," is first and foremost a pun.) And although E8 has a vast number of dimensions, the physical universe described by the theory could have only the four dimensions we are familiar with and not the 10 or 11 of string theory.

He and his colleagues started a project called the Atlas of Lie Groups and Representations. To make sure their computing tools were up to the challenge, they began tackling E8, a 248-dimensional object that describes a 57-dimensional shape in the same way that three dimensions are needed to describe a sphere, which is two-dimensional.

Today the Standard Model of particle physics organizes all the known elementary particles into these patterns (or “representations”), but it takes a combination of three Lie groups to account for how the particles can interact via three fundamental forces (electromagnetism and the strong and weak nuclear forces). Lisi’s insight was that he could place all these particles onto a representation of E8 with only a small number of spots left empty. This process is not just a matter of putting particles in nice-looking patterns in some arbitrary fashion; several properties, such as the electric charges of the particles, have to match up exactly with the relevant quantities in the representation. Furthermore, the patterns include particles that produce the four fundamental forces—including gravity. Hence the optimistic use of “theory of everything” in the title of Lisi’s paper.

Today the theory is being largely but not entirely ignored. Lisi, naturally, continues to work on it, as does Smolin. Lisi says that even if what Distler claims is true, it would only be true for the variant of E8 (“real E8”) originally used in his paper and that another variant (“complex E8”) would certainly work. Smolin argues that the press coverage gave the false impression that Lisi’s proposal was a finished work. “In reality,” he says, “almost every new theoretical proposal is first presented in a way that is flawed and incomplete, with open issues that need to be filled in.... While Lisi’s proposal has exciting aspects, this is the case with it as well.”

https://science.howstuffworks.com/science-vs-myth/everyday-myths/theory-of-everything.htm

All four of the forces in the universe create a distinct effect on all of the most basic subatomic forms of matter -- called elementary particles. When these particles interact with force carriers (called bosons), they become different particles. For example, when one of the most basic quantum particles -- the lepton -- encounters a weak-force boson, it becomes a neutrino. A lepton interacting with a photon (a boson that carries an electromagnetic charge) becomes an electron. So while there are limited numbers of the most basic particles, when they encounter the different forces, they change to become other, distinct particles. What's more, for every particle, there is an equally distinct anti-particle, for example an anti-quark or anti-neutrino. In total, these make up the elementary particles, and there are 28 of them.

Each of these distinct elementary particles has eight quantum numbers assigned to it, based on the charges each particle has. This brings the number of distinct particles to 224. These numbers helped Lisi make the particles fit into the E8 model. While the E8 is expressed as a 248-dimensional object in one way, it can also be expressed as an eight-dimensional object with 248 symmetries. Lisi used E8 within eight dimensions for his calculations. For the remaining 24 places unfilled by distinct known particles, Lisi used theoretical particles which are yet to be observed.

Take another look at E8, and notice how the lines radiate from each point:

Lisi assigned each of these 248 points to a particle, using the eight numbers based on their charges as coordinates within the eight dimensions. What he found was that, like the symmetries in the E8 group, quantum particles share the same relationship within the symmetrical object. He has hope that he has figured out a way to crack the theory of everything, because when he rotated the E8 filled with the force-influenced (including gravity) quantum particles, he found patterns emerging between particles and forces -- photons interacting with leptons, for example, created electrons. The connections shown within points on the E8 match up to real, known connections between particles in our physical world.

If Lisi's method is proven correct, then evaluating the E8 could show physicists how macro-scale gravity interacts with the other, highly-localized three forces.

https://arxiv.org/abs/0711.0770

4. Summary

The “E8 theory” proposed in this work is an exceptionally simple unification of the standard model and gravity. All known fields are parts of an E8 principal bundle connection,

A. =(21ω+14eφ+W+B1)+(B2+w+xΦ+g)+ +(ν.e+e. +u. +d.)+(ν.μ+μ+c. +s.)+(ν.τ+τ. +t. +b.)

in agreement with the Pati-Salam SU(2)L × SU(2)R × SU(4) grand unified theory, with a handfull of new fields suggested by the structure of E8. The interactions are described by the curvature of this connection,

F = dA + 1 [A, A] =· .2..

with particle quantum numbers corresponding to the vertices of the E8 polytope in eight dimensions. This structure suggests three fermionic generations related by triality,

Te=μ Tμ=τ Tτ=e

The action for everything, chosen by hand to be in agreement with the standard model, is
concisely expressed as a modified BF theory action,

·π′′ S= ⟨BF+ BGBGγ−B∗B⟩

with gravity included via the MacDowell-Mansouri technique. The theory has no free parameters. The coupling constants are unified at high energy, and the cosmological constant and masses arise from the vacuum expectation values of the various Higgs fields,

g1 =3/5 g2 =1 g3 =1 Λ= 34φ2 M ∼φ0,φ1,Φ...

In sum, everything is described by the pure geometry of an E8 principal bundle, perhaps the
most beautiful structure in mathematics.

So as I have understood it, there exists this theoretical E8 / 248 dimensional symmetrical mathematical object on which Lisi has calculated that every mathematical representation within the Standard Model could be included within the mathematical structure of this single object (and it seems this mathematical model has been used in other theories of everything as well). This object is then translated to 'our' reality as a 4 dimensional projection of everything which is presented as a structure of '3 dimensional pixels" on a Planck Scale level. Forming the reality as we know it (a bit like a kaleidoscope projection?).

Though, as with any of these kind of theories, particles included in this model have yet to be discovered. Which as far as I know, has not been done yet in the realm of experimental particle physics.

So purely theoretical, though a very cool/beautiful one if it would be reality...though I wonder how this projection itself would actually be performed from this object...everything within this -expanding- Universe, within the full timeframe of past/present/future...all projected at once.

https://quantumgravityresearch.org/portfolio/a-deep-link-between-3d-and-8d - I'm guessing that's the current research?

Didn't know about the correlation of the Golden Ratio with Black Hole mathematics...another story.

Disclaimer: Not a physicist, yada yada
 
May I summon @Pin to explain about pixelation theory?
Don't ask me, ask Pope Francis.

giphy.gif
 
[. To make sure their computing tools were up to the challenge, they began tackling E8, a 248-dimensional object that describes a 57-dimensional shape in the same way that three dimensions are needed to describe a sphere, which is two-dimensional.

Ok @dragulagu you already lost me there and 248 dimensional object... How is 248 dimensions possible? 11-dimensions is already pretty mind boggling! Lol

I'm not a mathematician but the way I understand it is that real objects in our world can be described with mathematical formulae in 3D space (such as a sphere etc.).
So they test out whether it is possible to describe hypothetical objects with dimensions higher than 3-4 through pure mathematics. Objects in 5 dimensions, 6...until you get to very specific objects, like this E8 248 dimensional object (I assume these are very specific mathematical cases). If it can be described by a mathematical form this could mean, theoretically, that such object could exist within our Universe (or even represent it).

https://en.wikipedia.org/wiki/Mathematical_universe_hypothesis

If you check this link: https://quantumgravityresearch.org/portfolio/a-deep-link-between-3d-and-8d , you'll see a visual representation.
And there is also a TED talk it seems from the author: https://www.ted.com/talks/garrett_lisi_an_8_dimensional_model_of_the_universe?language=en

He did reduce the amount of dimensions to 8 (so that's less than 11, not that it doesn't remain something complex to imagine either way :) )

Each of these distinct elementary particles has eight quantum numbers assigned to it, based on the charges each particle has. This brings the number of distinct particles to 224. These numbers helped Lisi make the particles fit into the E8 model. While the E8 is expressed as a 248-dimensional object in one way, it can also be expressed as an eight-dimensional object with 248 symmetries. Lisi used E8 within eight dimensions for his calculations. For the remaining 24 places unfilled by distinct known particles, Lisi used theoretical particles which are yet to be observed.

Take another look at E8, and notice how the lines radiate from each point:

Lisi assigned each of these 248 points to a particle, using the eight numbers based on their charges as coordinates within the eight dimensions. What he found was that, like the symmetries in the E8 group, quantum particles share the same relationship within the symmetrical object. He has hope that he has figured out a way to crack the theory of everything, because when he rotated the E8 filled with the force-influenced (including gravity) quantum particles, he found patterns emerging between particles and forces -- photons interacting with leptons, for example, created electrons. The connections shown within points on the E8 match up to real, known connections between particles in our physical world.

Just to give an impression of the descriptive formula alone of this object
This is no comment on Sage's ability: Were the E8 formula and resulting answer written in small print on paper, the paper would cover a 7 square-mile area.

It is pretty mind boggling.

PS: 4D Time crystals have already been created, so we can "perceive" that many dimensions (that's about it though from our 3-dimensional point of view):
https://medium.com/futuresin/time-crystals-matter-in-four-dimensions-c36c6ba5347c#:~:text=Time crystals do this same,normal crystals break space symmetry.

A time crystal or space-time crystal is a state of matter that repeats in time, as well as in space. Normal three-dimensional crystals have a repeating pattern in space, but remain unchanged as time passes. Time crystals repeat themselves in time as well, leading the crystal to change from moment to moment.

I get the gist of it, but need to read more to see why.

Fair enough, same here.
 
E8 is indeed beautiful, at least the projections are. Who knows if E8 is actually beautiful because it could be a nightmare. I don’t know how the math looks because #toodifficult.

I guess it’s just a matter of seeing whether they find a particle that doesn’t fit in one of the missing spaces. Though, the guy who says it’s mathematically impossible seems to have a point. He sounds like a total snob though.

“We analyze certain subgroups of real and complex forms of the Lie group E8, and deduce that any "Theory of Everything" obtained by embedding the gauge groups of gravity and the Standard Model into a real or complex form of E8 lacks certain representation-theoretic properties required by physical reality. The arguments themselves amount to representation theory of Lie algebras in the spirit of Dynkin's classic papers and are written for mathematicians.” — ooooh, diss burn.

It is possible within math to find seeming contradictions to theoretic properties required by physical reality, such as the whole parallel lines not crossing thing. So, I think it’s not like a proof against E8 being a possible representation of reality.

I think it comes back to what kinds of particles are discovered and how they’ll fit. Or, someone actually disproving that it represents reality somehow. Through math, not physical reality.
 
E8 is indeed beautiful, at least the projections are. Who knows if E8 is actually beautiful because it could be a nightmare. I don’t know how the math looks because #toodifficult.
Found an article from Nature. Good article on the description.

https://www.nature.com/news/2007/070319/full/070319-4.html

The creation of this map, which took 77 hours on a supercomputer, resulted in a matrix of 453,060 ? 453,060 cells, containing more than 205 billion entries — "all related in intricate and complex ways", says Jeffrey Adams, the project leader and a mathematician at the University of Maryland.

Doesn't look that elegant lol. :p

A Lie group is a collection of mathematical descriptors that help to illustrate the symmetry of a smooth object. The Lie group for a sphere, for example, describes all the mathematical operations that can be performed on the sphere without changing its appearance. There are an infinite number of straightforward Lie groups. But there are also five 'exceptional groups': weird one-offs of which E8, discovered in 1887, is one.

It gets stranger: E8, which represents the symmetries of a particular 57-dimensional object, has 248 dimensions itself.

"It's perhaps the most beautiful structure in all of mathematics, but it's very complex," says physicist Hermann Nicolai of the Max Planck Institute for Gravitational Physics in Potsdam, Germany.

The mathematics of symmetry lies at the heart of both relativity and quantum physics. String theorists trying to unify these two areas are casting around for a type of symmetry that will let them deal with the troublesome extra dimensions thrown up by their models.

"A unified theory needs unique mathematics," says Nicolai. "What we'd like is a structure with very special properties. E8 has a flavour of this, although we don't know how the symmetry is realized in physical theory — we have to study it in more detail."

"Nobody knows what pieces of mathematics string theorists are going to need, but this will be an important piece of the toolkit," agrees Stewart. "It gives a better chance of making new and unexpected predictions."

But yeah, it's hard to imagine..let alone the math behind it...