How 0′-0-0′ Explains Gluon, Hadron and Other Elementary Physics Particles, Limits in Math, Science, Invariant Quantum Math, Adjunction Functors, Lie Group Systems, Versors, and Spacetime Dimensions: Gurmukhi and Be Happy Philselfologically 143
From the most ancient times, we notice that the mathematicians, scientists, philosophers, thinkers and the researchers have been using what we know the limits in the mathematics, science and technology. If we consider our hypothesis of the SAHA say as the SA-0-HA, we can very easily notice that it gives the limits of 0, the zero say as when we say 0′-0 as the Left Left say when X or A’ tends to 0, and thus as the 0-, and when it goes and thus tends to 0+, we can write it as the 0-0′, and conventionally we can say 0′-0 is for the 0- and the 0-0′ as the 0+, and that the 0 limit for the 0 remains zero, and it goes well in almost all kinds of math, science, technology, engineering, and other quantum systems and the need of limit in both the differentiation and the integration.
From the most ancient times, we notice that the mathematicians, scientists, philosophers, thinkers and the researchers have been using what we know the limits in the mathematics, science and technology. If we consider our hypothesis of the SAHA say as the SA-0-HA, we can very easily notice that it gives the limits of 0, the zero say as when we say 0′-0 as the Left Left say when X or A’ tends to 0, and thus as the 0-, and when it goes and thus tends to 0+, we can write it as the 0-0′, and conventionally we can say 0′-0 is for the 0- and the 0-0′ as the 0+, and that the 0 limit for the 0 remains zero, and it goes well in almost all kinds of math, science, technology, engineering, and other quantum systems and the need of limit in both the differentiation and the integration.
In the previous parts of Invariant Math, the Homotopy Type Theory, we have also put the limits of infinities as the N and M, and that of the 0 as the 0′-0-0′ say the Left and Right (the Reverse) Limits that can also deal more brilliantly as say when we notice functions having limits other than 0 and infinity and thus the A’, 2A’, 3A’, 4A’, and say the 2A, 3A, 4A, and even the A, E, O, AE and the dimensions in which the limits are not similar at the upper and the lower levels. (Please read more about the limits: http://en.wikipedia.org/wiki/List_of_limits,http://en.wikipedia.org/wiki/One-sided_limit, and say http://en.wikipedia.org/wiki/Limit_superior_and_li… )
It also leads to explain the Adjunction (Field Theory).
When we discussed that we can have the N, the Infinite, we can also have the N(A) Finite for the A, E, O and the AE Limits and the Invariant Math Systems:
“If A is finite we say F(A) is finitely generated and if A consists of a single element we say F(A) is a simple extension. The primitive element theorem states a finite separable extension is simple.” (With thanks from the source: http://en.wikipedia.org/wiki/Adjunction_%28field_t… )
When we consider the SA-0-HA and the SA-0′-0-0′-HA, we notice how we tap the limits of it all as say 0′-0′-0-0′-0′, which become what we know as the Fiber Bundle of SA, in the SAHA as we expand it all as shown below:

When we want easy math and science, we have to consider the SAHA as the Universal Bundle: http://en.wikipedia.org/wiki/Universal_bundle
And as we know, we also have the SAHA (the Universal Bundle) for the Spacetime Systems, we have to consider that we deal it as say: A’-0-A’, and that is to say the O-0-A Systems as when O=A’ and A=A’+A’, and when the conditions are met, we have the O+A=E, and its when we have E=3A’, and in such cases we have all that is for “Classifying Space for U(n)”: http://en.wikipedia.org/wiki/Classifying_space_for…
When we say S/H, we can always put it as shown below:

When we have the 0′-0′-0-0′-0′, and more dimensions of it as the Dimensions of Lie Group, we have the E=O+A and follows the Euler Systems, and we have already discussed in the series:
“Cohomology of BU(n): Proposition: The cohomology of the classifying space H*(BU(n)) is a ring of polynomials in n variables c1, …, cn where cp is of degree 2p.
Proof: Let us first consider the case n = 1. In this case, U(1) is the circle S1 and the universal bundle is S∞ → CP∞. It is well known<1> that the cohomology of CPk is isomorphic to \mathbf{R}\lbrack c_1\rbrack/c_1^{k+1}, where c1 is the Euler class of the U(1)-bundle S2k+1 → CPk, and that the injections CPk → CPk+1, for k ∈ N*, are compatible with these presentations of the cohomology of the projective spaces. This proves the Proposition for n = 1.” (With thanks from the source: http://en.wikipedia.org/wiki/Classifying_space_for… )
When we have the 0′-0-0′ as say the A’-0-A’, we have it as shown below:

Thus, as the 0′-0-0′ Systems are the Homology for the Cohomology, it leads to help us learn a lot about the Homological Algebra: http://en.wikipedia.org/wiki/Homological_algebra and http://en.wikipedia.org/wiki/Cohomology
And it’s also the Indian Sacred Theory of the Elementary Physics Particle Systems and how the Tricolors and the Anti-tricolors as interlinked when we discuss the 0′-0-0′, the Lower, 0 and the Higher Dimensions of the Spacetime, the 0′-0-0′ say as also the A’-0-A’.
Using the Language and the Linguistic Equations with the 0′-0-0′, we also notice that it solves the most of the problems associated with Physics Elementary Particles including the Quarks and the Gluon Systems, where Indian Vowel Theory with 8-8 Systems give very good results as well.
The major works and research all seem to lie in the consideration of 0′-0-0′ say as the 0′-0′-0′-0′, which goes as say the A’-A’-A’-A’, and as it expands, we have it as the A-E-O-EA, and one thing that anyone can easily understand but waits for the verification or the authorization is that we always put the 0′-0-0′ as 1-0-1, 0-1-0, 0-0′-0, and it can also be say “infinity’-infinity-infinity'” or “infinity-infinity’-infinity”, and we can thus insert and input any possible value for the lower, 0 and the higher dimensions with a very simple conditions that upper and lower limits should be defined as well as the criteria of the dimensions, manifolds and whatever we can use in the given setup of 0′-0-0′ as say for the fermions-0-bosons, and if we are able to do so, we can write books of and on maths, science, physics, chemistry, music, grammars, and perhaps on any possible subject, and all with “Scientific, Mathematical, Philosophical and Other Quantum Primal Prerequisites and Requirements well met! Its the Art of Dimensions of Manifolds! ![]()
Now, when we say one can write, create, compose, and make anything happen, its where most of us fail. Any given systems has at least 3 primary states and the stages, which if we do not understand can harm not only us but the natural world as well. For example, everything in the Indian and the World Sacred Systems has the following 3 Parts of the Systems:
1. Classical say as the SA (of SAHA), and its also the Dress, and Code of Conduct in all human systems, popular as the BANA, Vastra Philosophy
2. Quantum say as the HA (of SAHA), and its also the Execution in All Human Systems where the Dress, and Code of Conduct may or may not be applicable, also popular as the Baan, the Religious Martial Arts or Other Practices
3. Infinities as the NAMA (Infinity in the SAHA as SA-Infinity-HA or when we use the SA-0′-0′-HA), and its also the world rituals, yoga, meditation, focus, and other methodologies that use the infinity systems, and also popular as the Bani say the Gurbani
4. The 0 as the state that systems have when these are not activated, the Zero Philosophy of Everything (0′-0-0′ say the SA-0-HA), and in the world civilizations, the religions, faiths, and or otherwise, its the State of Nirvana, and its popular as the Voice of Silence and Solitude, the Nirbana in say Sikhism
The State of Nirvana in which we have the 0′-0-0′ State of Human Systems is going beyond the light and sound energies, and be what and who one is as Steven Ferrel puts it that if we follow what the Masters say we do not have to imitate them or equate that we are like them.
In other words, the K’+A+H+S+(S+H+A) has what we know as the Vortex of “A, H, S” and the S+H+A, and if we want to manage it, we have to access it as with the following equation of the Sacred Vortex, the Atomic Vortex say:
K’+A+H+S+0 (Center of Vortex)+(S+H+A)
If we put it all as say:
K’+A’-A’+H+S+0 (Center of Vortex)+(S+H+A’-A’), we notice that the Philosophy of A’ as the Half Spin (1/2 Spin) gives us the A, H and S as the Quarks, and other Physics Elementary Particle Systems as show below:

If we say that we have the K’+A’-A’+H+S+0 (Center of Vortex)+(S+H+A’-A’) as follows:
1. K+=K’+A’-A’+H+S, and it takes up the 0′-0 Systems of what we popularly know as the 0-Spin, and thus the 0-Spin (Light), the “S” in the SA-0-HA Systems in our hypothesis
2. K=0 (Center of Vortex or the Quark Systems), and it can be put as K=0-, 0, 0+, which simply means that it releases the waves, vibrations and the spins that are associated with the 0′-0-0′ Spin Systems, and it can go to infinite depth levels as according to our Hypothesis of Philselfology
3. K-=S+H+A’-A’, and it takes up the 0-0′ Systems of what we popularly know as the 0-Spin, and thus the 0-Spin (Right), the “H” in the SA-0-HA Systems in our hypothesis
4. The (K-)-0′-0′-(K+) systems go as the Quantum Systems, where we think of how to use the Quantum Science in our daily life
When we consider the 0-Spin and the A’, we can always use the 1/2 Spins in it, and if we want to use the A as the Base of 1/2 Spins, eventually the Micro or the Elementary Physics Particles, we notice that A=1/2 A’, and that A’, 2A’, 3A’, 4A’, 6A’, and the 8A’ is the 8 Sides (without 0) of the Grand Physics Model of Elementary Particles that may not discuss the 0-Spins, which we know as the Gluon Systems. The Gluon Particle Systems happen to have the 8 Micro 8 Sides of 0′-0′-0′-0′-0-0′-0′-0′-0′, and each time it generates the 0′-Spin, Vibration and Wave, we see the 8 Colors that happen to appear as the 8 A’ Systems of the Color Charge Systems in the Physics Model of Elementary Particle Model with the Quarks, and the origin of Quarks thus goes to the creation of 0′ from the 0-Spins in the Gluon Systems in and as: “0′-0′-0′-0′-0-0′-0′-0′-0′” and thus: “There are eight remaining independent color states, which correspond to the “eight types” or “eight colors” of gluon systems. Because states can be mixed together as discussed above, there are many ways of presenting these states, which are known as the “color octet”.” (With thanks from the source: http://en.wikipedia.org/wiki/Gluon ), and we see it as shown below:

It has the symmetry of the spacetime present in the color systems of the gluon systems, which remains in the boundary of the SA-(SA-0-HA)-HA, and keeps originating from the SA-0-HA within the larger SA-HA Systems, and we get the following universal systems:

We can do some great research works on the Quark Model as well:


Well, when we add the 0-Spin to the SA-HA Systems, we get the SA-0-HA, and its the Hadron-Color Confinement, the SAHA Jet:

Thus, when we consider the SAHA, and the Higher Dimensions of it, the SAHA, the Spacetime, we have it all going on in the SA-0-HA, SA-0′-0′-HA, SA-0′-0-0′-HA, and thus the “Gluon Color Confinement” according to the Hypothesis of Philselfology:

“Higher Dimensions of SAHA, the Spacetime: Models Exhibiting Confinement: Besides QCD in 4D, another model which exhibits confinement is the Schwinger model. Compact Abelian gauge theories also exhibit confinement in 2 and 3 spacetime dimensions. Confinement has recently been found in elementary excitations of magnetic systems called spinons.” (With thanks from the source: http://en.wikipedia.org/wiki/Color_confinement )
If we need a little pause and rest in the SAHA, SA-0-HA, and the higher dimensions as the SA-0-HA with our simple and down to earth representations, we have: 0′-0-0′, 0′-0′-0-0′-0′, and so on, and now say student like me says o look, I cannot understand the 0′-0-0′, and it seems left and right nostrils of the nose, we have the very easy online solutions of it, and that is the “SA-0-HA”, which is equal to the 0′-0-0′, the Simple Spacetime Systems that constitutes the modern math, philosophy and science of “Versors”, the Versors are an algebraic parametrisation of rotations:

And please read more from this Wikipedia: http://en.wikipedia.org/wiki/Versor )
Thus, the 0 as the Center of the Vortex is also the “Controlling and Management Systems of the Atomic Vortex Systems” and that goes from the Earth Systems to the Universes and the Superuniverse Sacred Systems.
So, as the Versors, these systems of SA-0-HA, and say also as the 0′-0-0′ gives us the Broad Spectrum of what is popular as the Lie Group, and we notice the functionality of 0 and the 0′-0-0′ very vivid in it all:

Image: The 0′-0-0′ as the Lie Group Systems in which we have the 0 with the 0′ and the 0′ acts as the Left and the Right Adjoint Functors to the 0, the Zero: “One of the key ideas in the theory of Lie groups is to replace the global object, the group, with its local or linearized version, which Lie himself called its “infinitesimal group” and which has since become known as its Lie algebra.” (Please read more from the source: http://en.wikipedia.org/wiki/Lie_group#The_Lie_alg… )
Moreover, we have the Topology of 0′-0-0′: “Topology: A functor with a left and a right adjoint. Let G be the functor from topological spaces to sets that associates to every topological space its underlying set (forgetting the topology, that is). G has a left adjoint F, creating the discrete space on a set Y, and a right adjoint H creating the trivial topology on Y.” (With thanks from the source: http://en.wikipedia.org/wiki/Adjoint_functors )
As these works are based on the Gurmukhi as described in last 300 years of imperialism and in 600 years of compilation of Gurmukhi, the Quantum Sacred Systems of the Gurbani (11th Century-17th Century), and differs from the Sanskrit Language in many cases, more research works are required to established as the most compatible systems with the Quantum Systems, the Siva as written in the Raga Compositions of the Gurbani on this format, we hope for the best results in this regard.
It goes as we edit and add.
The Previous Part of the Series: How Gurmukhi Sacred Languages Discuss and Describe Pi, Phi, Euler, and Quantum Systems of Paradigm Shift: Gurmukhi, Philosophy of Shiva, Siva, Mahashiva, Invariant Math of North and South India: Be Happy Philselfologically 142
The Next Part of the Series: How SA-0-HA, the Quantum Spacetime with 0′-0-0′ Explains Gravity, Quantum Gravity, Feynman Diagrams with Vowel Theory as Single Theory of Everything: Gurmukhi and Feynman’s Advanced Quantum: Be Happy Philselfologically 144
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