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Jack James: on 4/5/21 at 22:42pm UTC, wrote I noticed this was a 4 dimensional approach also. ...

Steve Dufourny: on 4/4/21 at 20:31pm UTC, wrote I have seen in my life many things and odd persons but there you win a...

Steve Dufourny: on 4/4/21 at 20:20pm UTC, wrote Who are you and why do you copy my words and why you make this ??? totally...

Steve Dufourny: on 4/1/21 at 12:08pm UTC, wrote I give some food for thoughts, one of my favorite thinkers is Von Neumann,...

Steve Dufourny: on 3/28/21 at 19:40pm UTC, wrote Some ideas still ,It is the same with other methods,the hopf algebras...

Steve Dufourny: on 3/27/21 at 10:10am UTC, wrote Professor Hamilton, I relisten your youtube and I like it , it is a very...

Steve Dufourny: on 3/26/21 at 19:26pm UTC, wrote We must after all vanish the singularities, solve the cosmological constant...

Steve Dufourny: on 3/26/21 at 18:24pm UTC, wrote We have a problem with the Black holes and we don t know well what they are...


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FQXi BLOGS
September 22, 2021

CATEGORY: Blog [back]
TOPIC: Unification of the four forces in the Spin11,1 geometric algebra by Andrew Hamilton [refresh]
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Blogger Andrew J S Hamilton wrote on Mar. 18, 2021 @ 13:57 GMT
The spinors of the group Spin(N) of rotations in N spacetime dimensions are indexed by a bitcode with [N/2] bits. A well-known promising grand unified group that contains the standard-model group is Spin(10). Fermions in the standard model are described by five bits durgb, consisting of two weak bits d and u, and three color bits r, g, b. If a sixth bit T is added, necessary to accommodate a time dimension, then the enlarged Spin(11,1) algebra contains the standard-model and Dirac algebras as commuting subalgebras, unifying all four forces. The largest subgroup of Spin(11,1) that commutes with the Poincare group is Spin(5)xSpin(6), suggesting that the latter is a partial unification on the way to complete unification in Spin(11,1). The Spin(5)xSpin(6) algebra contains a subalgebra with precisely the properties of the electroweak Higgs field. The Spin(5)xSpin(6) symmetry contains, and is spontaneously broken by, a U(1) symmetry related to the U_{B-L}(1) symmetry. Grand unification is associated with a change in the dimensionality of spacetime.

The talk addresses the ethics of responsible scientific refereeing.



Keywords: #GrandUnification

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Steve Dufourny wrote on Mar. 18, 2021 @ 14:12 GMT
Hi , very interesting, If I can ask you several questions. You tell that that unifies the four forces, so the quantum gravitation also, but have you quantified and renormalised it , because if you consider G c and h to unify the GR and the QM qith geometrical algebras like Lie, clifford or hopf, it is not renormalisable due to fact that the fields mainly are taken into account like origin of the reality and its topologies, geometries. And also the fact to consider extradiemnsions seem not correct because we have just a 3D fractalisations for the scales at my humble opinion.

The subgroups or groups can be ranked with the lie E8 for example but the problem is really the philosophical origin of our universe from the fields in 1D at this planck scale. I discussed with specialists of the E8 and strings or geometrodynamists, they have not successed to quantify this QG even with subgroups and the non commutativity and non associativity added. The works of Connes have been taken into account and added to this E8 with cosmic strings of this GR, but that does not permit to renormalise, I have quantify it in thinking beyond the box with 3D spheres like foundamental objects and in encoding the cold dark matter .

Could you tell me more please about the algebras utilised and the mathematical methods. I have seen that Wilczek has made a paper about the noise of gravitons,but the gravitons are not the quanta of gravitational waves for me simply, the problem seems to consider only this GR like the only one piece and the fields like origin philosophical of our universe.

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Steve Dufourny replied on Mar. 18, 2021 @ 14:16 GMT
If I can, you could consider my theory of spherisation and the 3D quantum and cosmological spheres and the 3 finite primoridal series because they turn these spherical volumes and so the spinors can be better understood in ranking them when they merge these 3 series, one space vacuum for the main codes and the two fuels, photons and cold dark matter. See that the motions, rotations, oscillations vibrations of these spheres can permit to rank all considering that the volumes are preserved and that the number primoridal does not change. The dimensions are not necessary to change, the pure 3D seem the key.We just fractalise this 3D.

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Steve Dufourny replied on Mar. 18, 2021 @ 14:34 GMT
Personally I like your ideas and general works, I just explain how I see these spinors, I understand your method in taking the complex vector space and the euclidian space and the minkowski spacetime and this GR. So it is a beautiful general method. The real secret maybe is to find the main cause of these spinors and rotations , and these spheres and their different volumes answer when we consider 3 main spacetimes , aethers, and a superfluidity.

If we take the lorentz transformations and my reasoning in superimposing the two other ethers , it becomes very relevant. N fact it becomes simple generally considering the angular momentum and so the rotations spinal and orbital of these 3D spheres, see that the 3 finite primoridal series have the same number finite than the cosmological spheres, and it is the dirac large number, so the fact that this number and the volumes are preserved when they merge to cretae the matter become very interesting in these 3 spacetimes superimposed because all is in contact.

I guess that you have utilised the clifford algebras probably for the groups and subgroups but it seems important to preserve this 3D , that said the hopf fibrations can be put on the surfaces of 3D spheres and the bloch spheres can be utilised, but the main importance is the motions of these spherical volumes and the densities.

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Steve Dufourny replied on Mar. 18, 2021 @ 14:48 GMT
You know professor Hamilton, I am not on FQXi to give lessons, no I learn a lot here and I just imporve my theory and I want also to give food for thoughts to improve the works of thinkers seraching deep answers, I believe strongly that these 3D spheres are the foundamental mathematical and physical objects and that they are the choice of this universe, that is why I consider a conjecture philosophical between these strings and these spheres, between also the 3D and the extradimensions.

The philosophy of the origin of the universe seems essential and I have remarked that the majority of searchers consider these strings or points at this planck scale and only the GR like the only one piece of puzzle. Maybe Einstein and Witten even in being genius have created a prison, we must I beleive insert deeper logics and the two other spacetimes of the cold dark matter and the DE for me are the keys with the spheres to explain our main unknowns.

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Member Antony Garrett Lisi wrote on Mar. 18, 2021 @ 18:48 GMT
Hello Andrew, I'm interested in your statement that the spin(11,1) algebra contains the standard-model and Dirac algebras as commuting subalgebras. Could you possibly send a pre-print of your paper ("Unification of the four forces in the spin(11,1) geometric algebra") to me at Gar@Li.si or post it here, so I can have a look at the mathematical details? (Sorry the PRD referee was a jerk, but I'm not surprised.)

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Steve Dufourny replied on Mar. 18, 2021 @ 19:04 GMT
Hi, have you thought to the things that I have explained to David Chester , I don t know if he has told you but if the fields are not the origin of the physicality , so there is a problem philosophical even with the E8 , you can utilise the groups, subgroups , commutativity, non commutativity, associativity, non associativity, never the quantum gravitation will appear you know even with the works added of Connes, the real problem is this prison of strings, or geometrodynamics and the fact to only consider this GR like primoridal essence.

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Steve Dufourny replied on Mar. 18, 2021 @ 19:25 GMT
The General idea of this E8 was a good choice , like the other lie groups. The matrix and others like the mathematical plays can permit to rank and understand these fields to unify the GR and the QM, the problem is not there. But between us , why can we affirm that these photons are the only one piece of puzzle and this GR ? I can understand the ideas philosophical, the majority of thinkers have...

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Steve Dufourny replied on Mar. 18, 2021 @ 19:46 GMT
In resume, these works are interesting for the tensors and spinors in the mathematics of this GR, the metrics, the derivatives, this and that , ok it is very interesting for this spacetime of this GR. The thinkers have tried to develop the general relativity and einstein field equations, but why they consider that the standard model and the emergence of topologies and geometries come from this ? there I don t understand, I have difficulties to understand why the thinkers in majority consider this GR and photons only and these fields to explain our standard model and all the mechanisms of this universe. It is odd in fact.

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Steve Dufourny wrote on Mar. 19, 2021 @ 10:06 GMT
Professor Hamilton, what I find very relevant is that you consider the spinors like the main cause , I see that you consider so links with the branes and that you consider only this GR and so the photons like the only one piece of this universal puzzle. Your method is very relevant and if I can it could be well to consider these 3D spheres and their volumes and the 3 primoridal series that I...

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Steve Dufourny wrote on Mar. 19, 2021 @ 11:03 GMT
It is this conjecture wich become relevant between particles fields , Extradimensions and 3D, strings and spheres and geometrical algebras of clifford and lie and my spherical geometrical topological algebras that I have invented .

The two other spacetimes superimposed and these finite series of 3D spheres become relevant for the rankings to arrive at these unknowns and conjecture. We know...

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Steve Dufourny wrote on Mar. 19, 2021 @ 17:13 GMT
Ps to both of you Professor Hamilton and Professor Lisi, I d be honored if you could be also in the boat for the project GLOBAL COLLABORATION that FQXI has nicely accepted to create, I know that you see the generality of this universe and the universal altruism because your works are profound so you understand what is this consciousness, the aim is to create a book of concrete adapted global solutions where all wins and convice the united nations, hope you shall write some ideas dear thinkers, congract for your works also,

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Steve Dufourny wrote on Mar. 22, 2021 @ 20:19 GMT
Professor Hamilton , it is there that my intuitive equation becomes important considering the energy of this space vacuum of the DE, here is the equation considering the DM cold also encoded in nuclei, E=m(c^2+Xl^2)+ Y , with X a parameter correlated with the cold of this dark matter that I don t know and l their linear velocities, and Y is the dark energy the space vacuum where the main codes are in one of 3 series of 3D spheres that I explained. The lorentz works could help for this Y but I don t know how do to be frank , I have some ideas but it is not easy alone to solve this cosmological constant problem. The QFT is important more the quantum gravitational field that I have reached with this cold dark matter encoded but I don t know how to unify all this with this space vacuum of this DE, the harmonic oscillators could help . The importance at my humble opinion is that this space if made of particles, these 3D spheres coded but it is a new physics like this DM encoded also, I need help because alone and without experiments I have difficulties to have the calculations.

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Steve Dufourny wrote on Mar. 26, 2021 @ 18:24 GMT
We have a problem with the Black holes and we don t know well what they are , but all galaxies possess a supermassive BH at the center and in logic they are a new physics beyond this relativity. They are probably correlated with this cold dark matter also but I don t affirm. Now if we have a serie of BHs at this comsological scale, like the quantum series are a little bit in the same reasoning , we have a serie of quantum BHs farer for me than these nuclear forces. I don t know if we can consider a fith force, but maybe.Now like the universe we have a central one and it is essential to understand the distribution and codes of this supermatter energy of this space vacuum, and if the photons and cold dark matter are encoded in this vacuum possessing the main codes to create what it must become, that becomes relevant because we can take instead of distances protons and electrons, we can take the distances of BHs and positrons , see what appears in the calculation of the force ..... This reasoning solves the BHs , the DE, the DM, the QG, and others also.

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Steve Dufourny replied on Mar. 26, 2021 @ 19:26 GMT
We must after all vanish the singularities, solve the cosmological constant problem, understand the DM and dark energy and unify the whole with even the consciousness and the quantum gravitation and the GR .The actual QFT and GR like if we unified G c and h cannot .

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Steve Dufourny wrote on Mar. 27, 2021 @ 10:10 GMT
Professor Hamilton, I relisten your youtube and I like it , it is a very good general idea, but if I can you tell that the spinors are the smallest quanta and that all emerge from spinors. I can understand the idea knowing well the complex vectors space . See that in my model the spinors can be correlated with the rotating 3D psheres of these 3 ethers superimposed, so we retrun still about the...

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Steve Dufourny wrote on Mar. 28, 2021 @ 19:40 GMT
Some ideas still ,It is the same with other methods,the hopf algebras correlated with the feynman diagrams for example, for the morphisms and groups and you can even make cohomologies for the lie groups , the problem is not there, don t forget that if you take a general method for the fields and their rankings, it is not a reason to be sure about the extrapolations with the algebras utilised towards the unknowns wich are probably non relativistic and also in a different logic, furthermore you can take the dimensions and begin with a 3D and after make with the strings and algebras the 1D and the other dimensions and tend towards the infinite dimensionalities, that will not change the problem of foundamental objects that we don t know and the scales that we cannot see and reach physically and the same for the general philosophy of the origin of the universe. The fields can imply confusions and the diagrams also utilised even if they are correct at our observable scales. Let s take the lagrangian, it can be superimposed and fractalised in function of what we analyse and the groups also must be correlated, but the potentials are different and the kinetic distributions so also , it is the universal foundamental lagrangian the secret, not the actual one due to our QFT and GR....

It is really the philosophy general and the foundamental objects in fact the real problem, we don t know it.

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Steve Dufourny wrote on Apr. 1, 2021 @ 12:08 GMT
I give some food for thoughts, one of my favorite thinkers is Von Neumann, he was for me and it is just my opinion one of the most incredible general genius, his works are so relevant and concrete. I have studied them and his concept of entropy is fascinating , that has permited to go farer than Gibbs,Shannon, or the entropy in thermodynamics correlating with this quantum mechanics. I try to find a road in unifying all the entropies with the 3 main finite primoridal series and this space vacuum of this DE for the main codes are the key. We can so superimpose the entropies and rank the properties of these spherical volumes and the relevance is probably the preserving volumes and the densities implying proportions with the motions oscillations and also deformations with the symplectomorphisms.

That can permit to rank these entropies and we take so the relative entropies, the conditional ones, the others also and we insert also the two fuels that I explained, the photons and cold dark matter, several foundamental unknowns can be solved like the cosmological constant problem, the quantum gravitation that I have reached like this, the hierarchy problem, the gluons probem, the singularities problem...in fact we see a general road with this space vacuum possessing the main codes and the ranking of waves, fields, particles can be better understood without taking like main origin the fields, but the particles in a superfluidity yes.

The informations so also can be better understood and the most important why they are what they are and how they permit the physicality and its topologies, geometries. That implies a simple general logic where the extradiemnsions are not necessary and where a pure cklassical mechanics in 3D appear.

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Jack James wrote on Apr. 5, 2021 @ 22:42 GMT
I noticed this was a 4 dimensional approach also.

https://pullthatupjamie.com/

Could you explain the difference?

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