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RECENT POSTS IN THIS TOPIC

Steve Dufourny: on 10/27/20 at 16:17pm UTC, wrote Hi Jonathan, thanks for developing , I am understanding. I consider like...

Jonathan Dickau: on 10/27/20 at 15:57pm UTC, wrote It all fits together Steve... The optimal case for close-packing of...

Steve Dufourny: on 10/27/20 at 13:09pm UTC, wrote Connes is the best for the non commutative analysis but it has not reached...

Jonathan Dickau: on 10/26/20 at 21:19pm UTC, wrote Connes is a remarkable Frenchman... The idea of Connes time is subtle. ...

Steve Dufourny: on 10/26/20 at 16:44pm UTC, wrote Hi Jonathan, like I told , I love these geometrical alg of Lie and...

Jonathan Dickau: on 10/26/20 at 16:35pm UTC, wrote Whoops I meant to say... This results in a view of Physics where the core...

Jonathan Dickau: on 10/26/20 at 16:30pm UTC, wrote A little too long to show it all... But the above missive shares a view...

Jonathan Dickau: on 10/26/20 at 16:24pm UTC, wrote I'm back for more Professor Singh... I think it is delightful, and as I...


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FQXi BLOGS
October 29, 2020

CATEGORY: Blog [back]
TOPIC: Towards the unification of the four fundamental forces by Tejinder Singh [refresh]
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Blogger Tejinder Singh wrote on Oct. 10, 2020 @ 07:01 GMT
This is a voice narration of a seminar given at the Albert Einstein Institute, Potsdam on September 21, 2020. It describes the new theory of unification reported in arXiv:2009.05574



Keywords: Quantum Foundations; Trace Dynamics; Spontaneous Localisation; Non-commutative Geometry; Division Algebras; Octonions; Standard Model of Particle Physics; Unification; Gravitation: Connes Time; Spontaneous Quantum Gravity; Aikyon; String Theory; M-theory; Exceptional Lie Groups G2, F4; Quantum Measurement Problem; Quantum Determinism; Lorentz-Weak Symmetry; Lorentz Boson; Automorphism Invariance and Unification.

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Steve Dufourny wrote on Oct. 10, 2020 @ 12:06 GMT
It is very interesting, we search to explain this QG, many have tried in this logic with the geometrodynamics ,or strings , Branes, Mtheory , superstrings. I recognise several interesting mathematical tools with these geometrical algebras of Lie and the strings to rank the fields, but a thing important for me is that even if all this is relevant for the fields of our standard model, we cannot...

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Member Tejinder Pal Singh replied on Oct. 10, 2020 @ 12:43 GMT
Thank you for your detailed response Steve. Regarding the main philosophical origin of the universe, as you rightly enquire - I do not know. But one thing I see, as we go to deeper layers of reality, physical universe and mathematical universe more and more become the same thing as each other.

Tejinder

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Steve Dufourny replied on Oct. 10, 2020 @ 13:05 GMT
You are welcome, I recognise also that I am not sure and I don t know also the truth, I just consider these spheres because it seems to me that they are foundamental seeing the nature around us and the universe made of cosmological spheres, I have ranked a little bit of all, animals, vegetals, minerals, maths, physics, biology, chemistry and in a book of biology I saw the hominid brains on a page and I have had this humble eureka ,we see a relative spherisation of brains , but I don t affirm that these foundamental objects are 3D spheres, I just consider them, I liked your videao like I told, congrats still, maybe you could be interested to discuss with the team of Klee Irwin working on these octonions also , they are good. Friendly

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Steve Agnew replied on Oct. 12, 2020 @ 15:53 GMT
Singh’s quantum matter gravity (QMG) unification of gravity and charge is a very exciting development and is especially so for me since QMG has many of the same puzzle pieces as does my quantum matter action universe puzzle. Basically, QMG defines aikyon particles as the generic aether of the universe and so QMG builds electrons, protons, neutrons, and all else with either fermion or boson...

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attachments: MatterActionCSL.jpg

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Jonathan J. Dickau wrote on Oct. 14, 2020 @ 02:04 GMT
Greetings Professor Tejinder Singh,

I needed to do some research in addition to skimming your recent papers, but it is remarkable how much agreement I find with my recent body of work - since GR21 and in my lecture at FFP15 in Orihuela. What you call Connes time, and others refer to as Connes' "intrinsic time" I have treated as evolutive properties of non-commutative and non-associative algebras. I have been quoting Connes' statement "Noncommutative measure spaces evolve with time!" and other related comments for a while now.

So I think that your explanation of early universe dynamics is brilliant. And assuming the octonionic framework to explain Yang-Mills dynamics is likewise the right answer and a great insight. I think in the arena of Planck scale dynamics and Quantum Gravity, using the octonions is the only way to get past the obstruction. Nice though that you invoke the sedenions in order to obtain triality for 3 particle families. The sedenion sphere S15 fibrates uniquely yielding S7, S3, and S1 so it maps to the O, H, and C algebras. This makes decomposition almost automatic, along the lines you describe.

My findings relate to the Mandelbrot Set in the quaternion and octonion domain. There is an explicit representation of Cartan's G2 analogy in the form of M, when it is extended into higher dimensions. So my model implies a sort of modified DGP gravity cosmological scenario, with a 5-d --> 4-d transition, or perhaps more like cascading gravity - because the universe's origin or precursor state is higher-dimensional. How does your work treat the cosmological evolution of the universe, and the transition to the current era, given that you employ a similar set of assumptions?

Warm Regards,

Jonathan

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Jonathan J. Dickau replied on Oct. 14, 2020 @ 02:06 GMT
I should note here...

It is my conjecture that the Mandelbrot-G2 connection is non-trivial.

Best,

Jonathan

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Member Tejinder Pal Singh replied on Oct. 14, 2020 @ 04:49 GMT
Dear Jonathan,

Greetings and many thanks. I would like to know more about your work! Could you kindly point me to some references? Thanks.

It is thrilling to know that you also refer to Connes [intrinsic] time. So we are in perfect agreement then there is a 4+1 d spacetime, with the Connes time in the background. For me the Connes time is still there in today's universe, as if to say that the observed universe is a bubble which resulted from spontaneous localisation in a much larger aikyon `sea' and is now expanding back. Connes time belongs to the aikyon sea and hence is applicable to the expanding bubble also - it is perhaps the cosmological time.

I am still trying to sort out the cosmology - Dirac's large number hypothesis is all over the place! In his post above, Steve Agnew already foresees some of the things I was planning to say about length scales and Planck length.

Thanks for your interesting remarks about sedenions. The original idea for sedenions and triality and three fermion generations is due to Gillard and Gresnigt. Also, the connection with F4 and the exceptional Jordan algebra is fascinating. And now you mention the G2 - Mandelbrot connection! Amazing. I will look this up. You would also already know that G2 is related to spaces that have a 2-plectic geometry: I am exploring this in the context of my Lagrangian.

Once again, thanks for your insightful comments, and I look forward to knowing more about your work.

Tejinder

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Jonathan J. Dickau replied on Oct. 14, 2020 @ 15:28 GMT
Thanks so much Tejinder...

If the observed universe is a bubble; what if it is a ball rolling on the surface of a larger ball - which is the aikyon sea? This makes our universe the rolling ball in Cartan's G2 analogy, and this is the cosmology the Mandelbrot Set appears to suggest. Specifically; the cardioid portion of M relates to early universe dynamics, and the part showing features of present day Physics is the circular region centered at (-1, 0i), which is spherical in higher dimensions.

I have attached a diagram illustrating this idea. The associated cosmology is fascinating. The territory explored by Dvali, Gabadadze, and Porrati and the 5-d black hole to 4-d white hole model of Pourhasan, Afshordi, and Mann relate strongly to Cartan's rolling ball analogy for G2 - in my opinion. So I think there is perhaps a cosmological transition with your theory too. This could be ongoing as you say. The bubble we are in is unfolding by rolling across the aikyon 'sea.'

The key is understanding how localization enters the picture. I know about CSL but I use the metaphor of condensation in my work. This builds on a large body of work where gravitational horizons are like BEC formation. The model of Dvali and Gomez is a good example, but a very large number of researchers are exploring related territory. However; I also link this up to what happens at the high end of the dimensionality spectrum, because the octonions contain the quaternions, which contain the complex numbers, and the reals are a subset.

My most recent FQXi essay explores this angle in some detail.

More later,

Jonathan

attachments: G2MandelEversion.jpg

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Steve Dufourny wrote on Oct. 14, 2020 @ 10:18 GMT
ps Tejinder I have shared it in facebook

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Jonathan J. Dickau wrote on Oct. 26, 2020 @ 16:24 GMT
I'm back for more Professor Singh...

I think it is delightful, and as I read more I am learning, that your approach is informed by a methodology that I began formulating about 20 years ago, and continued to sharpen since then. The idea is to look at the totality of all Maths with the Calculus of Variations as a guide. From this view; the maximal, minimal, and optimal cases all have a...

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Jonathan J. Dickau replied on Oct. 26, 2020 @ 16:30 GMT
A little too long to show it all...

But the above missive shares a view that your Aikyon theory, professor Singh, appears to be the product of a kind of constructivist hyper-Platonism which I favor. That would be looking at the Totality of Maths through a Calculus of Variations perspective, informed by Philip Gibbs' Theory of Theories, to formulate a version of Tegmark's Mathematical Universe on steroids, such that the Maths set the tone, and the Physics is only possible because Mathematics as a whole has a congruent message.

All the Best,

Jonathan

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Jonathan J. Dickau replied on Oct. 26, 2020 @ 16:35 GMT
Whoops I meant to say...

This results in a view of Physics where the core behavior of these Maths, like Alain Connes' view of Intrinsic Time as a feature of some higher-order algebras becomes a driver of cosmological evolution.

More later,

Jonathan

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Steve Dufourny replied on Oct. 26, 2020 @ 16:44 GMT
Hi Jonathan, like I told , I love these geometrical alg of Lie and specially this E8 , I consider even them in my theory, but if I can , what if the fields and strings or points oscillating giving the topologies and geometries are not the primordial essence and that we have not only photons and this GR to unify the whole to reach this quantum gravitation, this tool is a good tool to better understand the fields of our standard model but that is all, what is all is just not true generally speaking about the main essence of feilds and that we have coded particles in a superfluidity and with 3 aethers superimposed, so that means that all the persons searching to explain this QG looses their time ? how are they going to accept this the thinkers ? hope their vanity can be humble if I am true , if not there is a big problem inside the sciences community. For the maths, we must be prudent we know that with the maths like main tool we can have odd extrapolations, the physics seems the main chief orchestra, the maths are a tool wich must be well utilised to help this physics for me,regards, bravo , cool to see french language

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