How Vowels of A’, A and 2A Compose All Purpose Single Super Topological Quantum Energy Equation for Quantum Vacuum and Differential Topology 170

How Vowels of A’, A and 2A Compose All Purpose Single Super Topological Quantum Energy Equation for Quantum Vacuum and Differential Topology: Supermolecular and Self-assembling Dimensional Theories, Gurmukhi and Be Happy Philselfologically 170

The Plank’s Constant and Vibration, Spin and thus the Energy Levels say A’, A, 2A, and the Higher Dimensions can create almost any possible Quantum Equation, which can describe Maximum Possible Aspects Related to the Quantum Systems with as little as hA, where the h is Planck’s Constant and the A is the Topological Quantum Level of Waves, Frequencies, Wavelengths and the Other Quantum Factors of Homotopy and Topology. If we use “S” as the Form of Quantum Energy say “Super Energy, the S, which is Most Symmetric, Asymmetric and Super Partner Energy Systems of A’, A, A-A’ and A-A (2A)”, and it includes the A’ having what we know as the Helicity as shown below:

From Classical Helicity of A’, we enter into the Quantum Chirality, and that is the World of Quantum Spin of A’:

The A’/2 Spins are the Primal Spins of the Space Element Based Universe and thus say the A’/2-A’/2 is the Space Element also popular say as the Fermion Systems, and the A’-A’ Systems with say the A’ give the Air Element, while the 2A’ gives the Water and the 3A’ gives the Fire while the 4A’ as the 2A gives the Solid (Molecular) Elements, and what we call say Superfluid and even the Quantum Super Air, Foam, Cloud, etc. thus seem to be the Super-Space, Super-Air, Super-Water (Liquid), Super-Fire and the Super-Solids, which we study as the 5 Basic Quantum Elements in the Indian and Other World Sacred Systems, and in it all, we have the A’/2, 2/A’/3, 3/3A’, and the Higher Spins present with the A’, A, 2A, 4A, 8A, 16A, 32A, 64A, and the Higher Dimensions that describe the Big and the Bigger Quantum Bodies in the Universe say the Supermolecules; Earth, Moon, Sun, Stars, North Polaris, Universes and Superuniverses, etc., and these well fit into the All Purpose Single Super Topological Quantum Energy Equation for Quantum Systems that we discuss here say as S=h*A, where S (Total Energy of the Systems), h, the Planck’s Constant and the A is the A’/2, A’, A, 2A, 4A and the Higher Topological Quantum Multifolds and the Dimensions as we discuss it in detail in the next paragraphs. (Relevancy: http://www.thelivingmoon.com/44cosmic_wisdom/01arc… ).

We can thus also have Universal Single Quantum Equation of Everything that is Quantum:

S (Energy)=h*A (I have used A=A’-A’ just as a vague or wild proportionally that any quantum student can use to get rid of headaches but its inversely proportional that is the quantum tonic for head and mental health as explained in the next few steps! 

Again to mention that here, we have S is the Energy, h is Planck’s Constant and A, the Topological Frequency! 

Now, if we go to the S (Energy), h (Plank’s Constant) and the A’, A and 2A as the wavelength and Frequency, we notice that the Topological Quantum Systems of A’, A, 2A, … up to NA’, NA, 2NA, where the N can be any natural, real or the complex number, we can have not just Reduced Planck’s Constant, but Planck’s Philosophy of Quantum Systems Explained in Layperson’s Philosophy of Everything in which we can actually Modify Planck’s Constant as the Single Consonant for the Quantum Universe and the Cosmological Constant is not an Exception. Here, we have to put the A’, A, and 2A as say S=h/A’ or h/A or h/2A and thus h/NA Systems of the A’, A and 2A with N say for any number no matter real, natural or complex.

The A’, A and 2A in the S=h*A, the Simplest Ingredient Equation of Universe gives us the Self-assembling Atomic (A), Subatomic (A’) and the Molecular Universes, which we also know say as the Classical (2A), Quantum (A) and the Vacuum, the Dark Energy Based (Shakti, the Kinetics of the Universe say as the Quantum Vacuum) Universe (A’) Systems, and thus the S=hA’, S=hA and S=h2A as the relevant expansion of the S=hA, which is the SAHA, the Spacetime in its nutshell! 

For example, we can have say Eλ = hc as:

SA = hc, and that All World Languages and the Lingsuitics Systems with the Given Grammars use it for the Sound Systems of the Aspirated Systems of say Sound K’ say as:

K’+S+H+A=K, and we can put it say:

K’+Eλ+hc=K, and it should not deceive Achim Kempf’s Sound and Shape Systems of the Quantum Universe.

We can always start with A’1=ct and it can also be say A’1 or simply A’ in the A’1, A’2, A’3, A’4 say in the A’, 2A’, 3A’, 4A’, and it goes say also as the Spacetime:



(Please read more from the source: https://en.wikipedia.org/wiki/Spacetime )

It’s, the A’, 2A’, 3A’ and 4A’ as the Spacetime is what we have also discussed in this series, and that the A’, the A’1 gives us the Cosmological Systems:

“One can define a so-called “Hubble Horizon” which shows roughly how far light would travel if space were not expanding. This size is



(With thanks from the source: https://en.wikipedia.org/wiki/Cosmological_horizon )

One the thing that we need to use the Spacetime Interval say as s2 or S2 is well resolved say as the A from A’+A’=A and also from A’*A’=A, whatever notation we use to understand it all:

“In a Euclidean space, the separation between two points is measured by the distance between the two points. The distance is purely spatial, and is always positive. In spacetime, the displacement four-vector ΔR is given by the space displacement vector Δr and the time difference Δt between the events. The spacetime interval, also called invariant interval, between the two events, s2,<15> is defined as:

(spacetime interval), where c is the speed of light. (With thanks from the source: https://en.wikipedia.org/wiki/Spacetime )

When we use the Classical Linguistic Systems, we have S2=H2, where S+H=A is the Most Important Part of Languages, Linguistics and the Grammars and as an Aspirated Systems it gives us:

K’+S+H (or h)+A=K is the easiest way to learn the languages.

By itself, the h in the Aspirated Sounds create the Displacement Vectors or even the Radius of Expansions and the Contractions for any given system. (Relevancy source with thanks: https://en.wikipedia.org/wiki/Spacetime and https://en.wikipedia.org/wiki/Displacement_%28vect… )

The “A’, A, 2A” give great insight into the 3-Dimensional World in the 4 Dimensional Systems, and there is a very broad spectrum of the Other Vowels say O, A, E, which we have discussed say as the A’=O, 2A’=A, and 3A’=E, and if we include and discuss it, we are likely to create the 4-Momentum and 4-Velocity Systems say also the Four Vector and or the Four Momentum, which is well expressed say as:

“There are several ways to arrive at the correct expression for 4-momentum. One way is to first define the 4-velocity u = dx/dτ and simply define p = mu, being content that it is a 4-vector with the correct units and correct behavior. Another, more satisfactory, approach is to begin with the principle of least action and use the Lagrangian framework to derive the 4-momentum, including the expression for the energy.<1> One may at once, using the observations detailed below, define 4-momentum from the action S. Given that in general for a closed system with generalized coordinates qi and canonical momenta pi,<2>

,

it is immediate (recalling x0 = ct, x1 = x, x2 = y, x3 = z and x0 = −x0, x1 = x1, x2 = x2, x3 = x3 in the present metric convention) that



is a covariant 4-vector with the 3-vector part being the (negative of) canonical momentum.” (With thanks from the source: https://en.wikipedia.org/wiki/Four-momentum )

Thus, we may be heading for the broad spectrum of Series of Be Happy Philselfologically using the 0A’=ct, and A’=O, 2A=A, 3A’=E and the 4A’=AE Systems, which explain most of the concepts and philosophies of the Quantum Science, Math and Computing.


If we consider the Vacuum say 0-A’ or A’-0, we notice that we can very easily arrive at what we know say as the Quantum Hall Transitions as through the 0-A’, A’-A, A-2A, 2A-3A, and other combinations and permutations of Quantum Topological States and the Transitions present in the Quantum Hall Systems:

“The scaling behavior near the quantum Hall transitions is then universal and different quantum Hall samples will give the same scaling results. But, by studying the quantum Hall transitions theoretically, many different systems that are all in different universality classes have been found to share a super-universal fixed point structure.<6> This means that many different systems that are all in different universality classes still share the same fixed point structure. They all have stable topological sectors and also share other super-universal features. That these features are super-universal is due to the fundamental nature of the vacuum angle that governs the scaling behavior of the systems. The topological vacuum angle can be constructed in any quantum field theory but only under the right circumstances can its features be observed. The vacuum angle also appears in quantum chromodynamics and might have been important in the formation of the early universe.” (With thanks from the source: )

The Complex and Imaginary Numbers are very easy if we understand that it’s on the Negative Side of the Graph and may be dealing with say -4^1/2=-2 Systems and what seem to confuse what we say “-1^1/2” is complex, how about -16^1/2=-4, and why should it frighten if it’s on the left side of X-Axis or below the Y-Axis! It seems 8th Wonder of Math! 

It seems that what we show as the Imaginary Plane in e(ix) Systems with Euler’s Formula can give many new insights if we represent it on the real line where the “i”, the imaginary part is shown on the negative side of the Real Number Life as simply saying e(ix)=sinx+icosx does not satisfy everything, we can formulate the e(ix)=sinx-icosx and the e(ix)= sinx+ix by simply putting it all on the real line without always claiming it something “complex” with -1^1/2 term, which we have simplified say as the A’, the Spin that stands on the Left or Right of Origin of Real Number Line with say as A’-A’ as the A’-0-A’ as complex just because its power is 1/2, and in the studies of Qubit and Bloch Sphere many things seem to be going on when one reads “imaginary and complex numbers”, which is simply the -1, -2, -3, numbers with say Power of 1/2, and these stand on near the -1 and -2 for -1^1/2, and as it, the -1^1/2 is stronger than just -1, and is close to 0, we call it complex and imaginary one goes beyond the universe to search it, but it’s something that is all in between “-1 and -2 and the 0”, and we start to imagine infinity which is present between every two numbers! (Well, the Complex Numbers are the Special Number System in Math with at least one part imaginary in it, and that i, where i^2=-1, and i^4=1)

The Problem of 4th Dimension in the A’, A and 2A Systems is considered very differently and that is based on the most universal points on the dimensions that the 2nd and the 4th Dimension can restore and reassemble, and that the 4th Dimension is the Virtual Dimension of A and A, which we can also assume to be the Parallel Dimensional Setup of 3-Dimensional Systems; A’, A, A-A’ are the 3 Dimensions in the Cobordism say A’-“A-A'”-A as M-W-N Systems, and that the Philosophy of 2A is as say -A-A-, the Parallel Loop of 2-Dimensional Setup, and it’s thus the Restoring and Reassembling or the Self-assembling Dimension into Pairs of -A-A-, which create the Topological Cobordism Ring as we notice one point here that we need to mention:

“In 1921 Theodor Kaluza published a remarkable paper “On the Unity Problem of Physics” <1> . He argued that if we add fourth space dimension, then one force (gravity) in five-dimensional (4 space + 1 time) splits into two different forces (gravity + electromagnetism) as seen by us, who are blind to the extra dimension.

In 1926 Oskar Klein developed Kaluza’s idea one step further by showing that charge quantization can be explained by assuming that extra dimension was “closed” into a circle. <EXPLAIN, MAKE A DRAWING>. The one-dimensional rotation group acting on this circle was related to “gauge transformation group” of the electromagnetic field.” (With thanks from the source: http://quantumfuture.net/quantum_future/transd.htm )

Thus, due to A and 2A, we can have 2 Self-assembling Systems from the A’, A, A-A’ and the 2A:

“Molecular self-assembly is the assembly of molecules without guidance or management from an outside source. There are two types of self-assembly, intramolecular self-assembly and intermolecular self-assembly. Most often the term molecular self-assembly refers to intermolecular self-assembly, while the intramolecular analog is more commonly called folding.” (With thanks from the source: http://www.spmtips.com/how-to-choose-afm-probes-by… )

The A’, A, A-A’ and the 2A with its A and 2A Systems constitutes the Topological Quantum Systems giving birth to what we know say as the Supermolecular Chemistry:

“Mechanically interlocked molecular architectures consist of molecules that are linked only as a consequence of their topology. Some noncovalent interactions may exist between the different components (often those that were utilized in the construction of the system), but covalent bonds do not. Supramolecular chemistry, and template-directed synthesis in particular, is key to the efficient synthesis of the compounds. Examples of mechanically interlocked molecular architectures include catenanes, rotaxanes, molecular knots, molecular Borromean rings<16> and ravels.<17>” (With thanks from the source: https://en.wikipedia.org/wiki/Supramolecular_chemi… )

If we can consider that A-A’ Bonds are Ionic and that A-A are the Covalent Bonds, we can very easily understand about how the A’ as the Nanoparticle Systems give rise to Self-assembling:

“Self Assembly by Molecular Interactions: Nanoparticles have the ability to assemble chemically through covalent or noncovalent interactions with their capping ligand.<3> The terminal functional group(s) on the particle are known as capping ligands. As these ligands tend to be complex and sophisticated, self-assembly can provide a simpler pathway for nanoparticle organization by synthesizing efficient functional groups.” (With thanks from the source: https://en.wikipedia.org/wiki/Self-assembly_of_nan… )

The highest priority in it all is that it explains the Quantum Math, Geometry, Languages, Linguistics, Grammars, Sciences and the Technologies with Nanotechnologies, which are also popular as the Sacred Education and the Subjects of the Sacred Systems in the World Civilizations, and we have discussed it as the Sacred Quantum Systems that embraces all subjects as thus the Single Model and Theory of Everything of Philselfology. The words “self” in Philselfology deals with the A’, A and 2A, which we know as the “Consciousness, the DNA, RNA, Genes, Genetics, and so on”.

The 0-A’ can have what we know as the Vacuum Angle: https://en.wikipedia.org/wiki/Vacuum_angle

When we say that A’, A, 2A is the Self in the Philselfology, one may be curious to know what is it in the Indian Sacred Systems.

Well, the Three Levels of A’, A, 2A say as AA are called the 3 Worlds of the Consciousness, and this Trinity is denoted by the Suffix of T from the TA, THA, DA, DHA, NA, which is the Row of Spins and Force of Friction, which creates Fire, the Brahma Agni in the Indian Sacred Systems, and if it’s the Center of Activity, we have it MA, and thus we have A’-A’-A’-A’ of S, the Light and 3 Worlds of A’ as the A’, A, AA, and it self-creates the AA-T-MA, the AATAMA (Aatama popular say as Atama) the Conscious World of 4 Dimensions, which can reassemble itself.

When we consider the Light S in the 3 Worlds of N in the 3 Dimensional State it goes B from N or T, and the Solid Structures it creates becomes DA from say M, the Center of Origin and Frame of Reference say as M of PA, PHA, BA, BHA and MA in the 7th Row of Indian Alphabets based on what A’-A-AA, the Atama (AATAMA) can create, and in that case the same AATAMA, the Self becomes the SA-BA-DA, the SABADA popular as say SHABADA, the Indian Theory and Philosophy of Quantum Word that is also popular say as Word of God, the Primal Sounds of Universe say as the A’, A, 2AA that also abbreviated as O, A, E. Every Indian letter, word and term in Sanskrit, Hindi, Gurmukhi (Punjabi) and all other languages is based on this very Theory of A’, A, AA, and if we include the 0, the Quantum Vacuum, it becomes the 0-A’, which is popular as the Para, and this the attribution of Para-Atama, the Philosophy of Paramatama, the Quantum and Classical Philosophy of Sacred God Systems in the Indian Sacred Systems.

The Indian Sacred Systems also study the A’ as the Center and thus M, and its creates the N from M say as A, and thus we have the A’-A as the M-N, the MANA Theory, and if we consider the 0 or A’, A or AA as the M, to what it then goes naturally becomes the MANA, and if we reverse it all say AA, A, A’, 0, its becomes the NA-MA, the NAMA, which is considered as the Highest Level of Light (S) and 0-A’, A, 2A as thus the Sabada Theory of the Indian Sacred Systems and the Civilizations. As we have already discussed that NAMA is the Sacred Cobordism, that is, A’-AA-A. The A’-AA-A goes say as the MANA and the A-AA-A’ goes as the NAMA and thus two Dual Faces, the Dualism of the Cobordism. 

Please read more about the NA-MA as the Cobordism from here: “A topological quantum field theory is a monoidal functor from a category of cobordisms to a category of vector spaces. That is, it is a functor whose value on a disjoint union of manifolds is equivalent to the tensor product of its values on each of the constituent manifolds.” (With thanks from the source: https://en.wikipedia.org/wiki/Cosmological_constan… )

The Para is from the Center of A’, A and AA, and is given as M, and in 1-Dimension, it’s P and if we Quantize it say to 0-A’-A-AA, it become Para, and what it creates is the Atom, the Atama, the A’-A-AA, which is the Self-conscious Light (S), who Speaks, Talks and Reassembles itself. Thus, its as Light, A’-A-AA the AATAMA, popular as Atama and as the Quantum Sound as the Sabada, popular say as Shabada, the S-A’-A-2A.

In the Indian Sacred Systems, if the Atama is of high priority, the Sabada is of the Highets Priority and is treated as the Eternal Guru of the Universe and that is the Philosophy of S-0-A’-A-2A, the Sabada, and S-A’-A-AA as the Shabada to say as according to our Hypothesis of Philselfology and thus the use of Self in the Philselfology.

The Mapping of A’ to A and the A to 2A seem to constitute what we know as the Morphism in the both cases of say A’ to A and A to 2A Systems:

“In many fields of mathematics, morphism refers to a structure-preserving map from one mathematical structure to another. The notion of morphism recurs in much of contemporary mathematics.” (With thanks from the source: https://en.wikipedia.org/wiki/Morphism )

It further leads to what we know as Vector Bundle Morphisms with the A’ to A with expected A to 2A:

“A morphism from the vector bundle π1 : E1 → X1 to the vector bundle π2 : E2 → X2 is given by a pair of continuous maps f : E1 → E2 and g : X1 → X2 such that

g ∘ π1 = π2 ∘ f

for every x in X1, the map π1−1({x}) → π2−1({g(x)}) induced by f is a linear map between vector spaces.

Note that g is determined by f (because π1 is surjective), and f is then said to cover g.

The class of all vector bundles together with bundle morphisms forms a category.

Vector bundle morphisms are a special case of the notion of a bundle map between fiber bundles, and are also often called (vector) bundle homomorphisms.

A bundle homomorphism from E1 to E2 with an inverse which is also a bundle homomorphism (from E2 to E1) is called a (vector) bundle isomorphism, and then E1 and E2 are said to be isomorphic vector bundles.” (With thanks from the source: https://en.wikipedia.org/wiki/Vector_bundle )

Thus, the A’, A and 2A naturally create what we know as the Thom Space:

“In mathematics, the Thom space, Thom complex, or Pontryagin-Thom construction (named after René Thom and Lev Pontryagin) of algebraic topology and differential topology is a topological space associated to a vector bundle, over any paracompact space.” (With thanks from the source: https://en.wikipedia.org/wiki/Thom_space )

The A’, A and 2A, thus and then create the Thom Spectrum, which create the base and the basics of Topological Quantum Field Theory, and we thus have the Complex Cobordism:

“In mathematics, complex cobordism is a generalized cohomology theory related to cobordism of manifolds. Its spectrum is denoted by MU. It is an exceptionally powerful cohomology theory, but can be quite hard to compute, so often instead of using it directly one uses some slightly weaker theories derived from it, such as Brown–Peterson cohomology or Morava K-theory, that are easier to compute.

The generalized homology and cohomology complex cobordism theories were introduced by Atiyah (1961) using the Thom spectrum.” (With thanks from the source: https://en.wikipedia.org/wiki/Complex_cobordism )

So, the A’, A and 2A create the Cobordism Ring:

“In mathematics, the oriented cobordism ring is a ring where elements are oriented cobordism classes<1> of manifolds, the multiplication is given by the Cartesian product of manifolds and the addition is given as the disjoint union of manifolds.” (With thanks from the source: https://en.wikipedia.org/wiki/Cobordism_ring )

If we create these followups using the A’, A, and the 2A as the Basic Operators say also in the Topological Quantum Computing Operators of Algorithm and the Quantum Logic Gates, which is the Infinite Topological Quantum Cobordism Creators as the Quantum Gateway to the Quantum Universes. Its thus the Quantum Hypothesis of Cobordism:

“In mathematics, the cobordism hypothesis, due to Baez and Dolan,<1> concerns the classification of extended topological quantum field theories (TQFTs). The hypothesis is now a theorem of Jacob Lurie.” (With thanks from the source: https://en.wikipedia.org/wiki/Cobordism_hypothesis )

At the same time when we consider say the A’, A and 2A constituting the 4A, 8A, 16A, 32A, 64A, 128A, and the Higher Dimensions of any order of A’ and A with the Range and Domain of A’, A, 2A as the 4-Dimensional Setup of A’-A’-A’-A’ giving us the Multiple or the Various Cobordism Systems, we notice when we need to integrate it all we can easily do by go towards higher dimensions or the manifolds, but when we want to break down the higher dimensions of say 4A, 8A, 12A, 16A, etc., we have to apply what we know as the Surgery Theory, which applies well to the Topological Differential and Integration:

“In mathematics, specifically in geometric topology, surgery theory is a collection of techniques used to produce one finite-dimensional manifold from another in a ‘controlled’ way, introduced by Milnor (1961). Originally developed for differentiable (= smooth) manifolds, surgery techniques also apply to PL (= piecewise linear) and topological manifolds.

The origin and main application of surgery theory lies in the classification of manifolds of dimension greater than four. Loosely, the organizing questions of surgery theory are:

Is X a manifold?

Is f a diffeomorphism?

More formally, one must ask whether up to homotopy:

Does a space X have the homotopy type of a smooth manifold of the same dimension?

Is a homotopy equivalence f: M → N between two smooth manifolds homotopic to a diffeomorphism?

It turns out that the second (“uniqueness”) question is a relative version of a question of the first (“existence”) type; thus both questions can be treated with the same methods. (With thanks from the source: https://en.wikipedia.org/wiki/Surgery_theory )

At the end one may ask what is A’, 2A’, 3A, 4A’ that we describe say as A’, A and 2A such that A’=1/2A, and the simple answer is it’s the Fundamental Group, which well fits and functions say as the Orbifold Fundamental Group (https://en.wikipedia.org/wiki/Orbifold#Orbifold_fundamental_group), Groupiods (https://en.wikipedia.org/wiki/Groupoid), Category Based Math Systems (https://en.wikipedia.org/wiki/Category_theory), Domain Theory (https://en.wikipedia.org/wiki/Domain_theory), and thus anything that has relation with Homotopy and Topology:

“Let X be a topological space, and let x0 be a point of X. We are interested in the following set of continuous functions called loops with base point x0.

Now the fundamental group of X with base point x0 is this set modulo homotopy h

equipped with the group multiplication defined by

Thus the loop f ∗ g first follows the loop f with “twice the speed” and then follows g with twice the speed. The product of two homotopy classes of loops <f> and <g> is then defined as <f ∗ g>, and it can be shown that this product does not depend on the choice of representatives.” (With thanks from the source: https://en.wikipedia.org/wiki/Fundamental_group )

This fundamental group of Topological Quantum Systems of A’, A, 2A and the Higher Topological Quantum Manifolds and Dimensions use the Planck’s Constant in the Differential Topological Way; for example, we can assume the following:

0 (Vacuum Neutralized Systems of Energy)+h (Planck’s Constant)=A’, the kind of wavelength, which we can consider the first wave system in the nature, which can give us the h*(A’-A’) as say:

E = nhν, where ν=c/λ

As the 1/λ decides the wavelength, frequency and thus the A’ in any manifold or the dimension, we can calculate energy for any given quadripartite system say photon, which considers the great role of Planck’s Constant, the h and first vibration that it, the Planck’s Constant Systems create or indicate, and that is the A’, A, 2A, and the higher dimensions, which we can also write say as the nA’, nA, 2nA to the results say the following:

“LIGHT AND THE QUANTUM THEORY

WAVES AND THE WAVE NATURE OF LIGHT

A wave can be defined as:

– a continuously repeating change or oscillation in matter or in a physical field.
– vibrating disturbance which transmits energy.

A wave is characterized by:

1) Amplitude (intensity)

2) Velocity (speed)

3) Wavelength, λ (distance between two identical adjacent points on the wave.)

4) Frequency, ν (time for one wavelength to pass)

The speed of a wave is the product of wavelength (λ) and frequency (ν).
<ν is a Greek letter pronounced “nu”.>

λν = speed

Electromagnetic radiation is a form of energy described in terms of perpendicular wave-like electric and magnetic fields that change, at the same time and in phase with time. Examples are light, radio signals, microwave, and x-rays.

λν = c <c = Speed of light in a vacuum is 3.00 x 108 m/s >

λ is the wavelength measured in m or nm. 1 m = 1 x 109 nm
ν is frequency; SI unit is hertz, Hz. 1 Hz = 1 s-1

EXAMPLE 1

What is the wavelength of the radio station WAFR which broadcasts at a frequency of 88.3 MHz ?
λν = c
λ = c / ν = 3.00 x 108 m/s / (88.3 MHz)(1 s/1 x 10-6 MHz) = 3.40 m (With our thanks from the source: http://www.chem.latech.edu/~deddy/Lectnote/Chap7A…. )

In its application, the A’, A, 2A finds its quantum place as the Nano Systems in All Ancient and Modern Therapies, which we have discussed say as Quantum Nano Multiple Drug and Drugless Therapies and it thus makes Homeopathy the Nano or the Quantum Homeopathy while Ayurveda with Bhasma and or Puti Systems the Nano or Quantum Ayurveda. The Potency in the Homeopathy follows the Nano Patterns of A’, A, 2A, 3A up to CM, the 100000A, and its same in the Twelve Tissue and Cell Salts as used in the Biochemic and Cell Salts. The Modern Nanomedicine World also uses it. We also use it in the Nanotechnology, Nano Sciences and Nano Engineering while producing the Superconductors and the Metamatrials. The list of A’, A and 2A is quite big and we can not that the Spin in A’, A and 2A goes say as 1/2, 2/2 and 4/2, and thus it also constitutes the Concept, Philosophy, Science and Math of Spintronics.

One thing or point that I have noticed in the Research Work and the Hypothesis of Philselfology for the Topological Quantum Systems is that we do do not need to use the Powers of 2, 3, 4, etc. to any systems of units as we can simply place the A’, A, 2A as the Power or the Exponential Units. For example in the equation of F=ma=mdx3/dt2=mx”=-kx can be put say as F=mA as according to Differential Topology for the Quantum Systems where the Language, Linguistics and Math becomes say almost identical that can make the Quantum Education as the Pure Science and that too a very easy subject for everyone, and thus F=ma=MA as shown below:

Here one of the necessities in the Quantum Systems is recognize and approve the following:

A=c*t=λ=(s/t)*t=s=Distance and or Wavelength, where the c=velocity of speed and t is time, and the λ is the wavelength equal to 2A’=A

In it all, the Momentum of A’ and A Systems is proportional to say its frequency and inversely proportional to its wavelength λ, and thus we have the momentum and the energy equations where the Planck’s Constant comes to play its role:

We can notice that c, the Velocity of Light and the h, the Planck’s Constant are both constants and its only the Frequency that matters, and thus substituting h with its value in J⋅s and f with its value in hertz gives the photon energy in joules. Therefore, the photon energy at 1 Hz frequency is 6.62606957 × 10-34 joules or 4.135667516 × 10-15 eV. (With thanks from the source: https://en.wikipedia.org/wiki/Photon_energy )

When we consider the 0-A’, A’-A’, A-A’, 2A-A, and anything that bridges the two Topological Quantum Manifolds or the Dimensions, we notice that the “faster than light” activity takes place, which is known as ay the Evanescent Wave:

“Evanescent waves are solutions of wave-equations, and can in principle occur in any context to which a wave-equation applies. They are formed at the boundary between two media with different wave motion properties, and are most intense within one third of a wavelength from the surface of formation. In particular, evanescent waves can occur in the contexts of optics and other forms of electromagnetic radiation, acoustics, quantum mechanics, and “waves on strings.

In quantum mechanics, the physical explanation is exactly analogous—the Schrödinger wave-function representing particle motion normal to the boundary cannot be discontinuous at the boundary.” (With thanks from the sources: https://en.wikipedia.org/wiki/Evanescent_wave and https://en.wikipedia.org/wiki/Hartman_effect )

As we know by now, the Space Element in the Indian Sacred Systems is denoted by say the K-Sounds and thus the K, and E thus goes say as E=O+iA, the Imaginary and the Complex Number System Plane in the Space, and that is the reason we can call all of the Quantum Systems of A’-A-A’ in Space as the E’EK Systems, and the Philosophy of E’EK is give Shri Guru Nanak Dev Ji, the Founder of Sikhism so we can respect him for his Sacred Works in Quantum by naming and calling the A’-A-A’ as the E’EK Quantum Philosophy of Shri Guru Nanak Dev Ji, and thus the A’-A-A’ as the Shri Guru Nanak Dev Schwa Equations as for showing and expressing respect this great Master and Teacher of Indian Sacred Systems and the Civilizations.

If we use the A’+iA’ Format of the Qubit, the Virtual World of i, the Imaginary and Complex Numbers seems coming from the A’+iA’ as the O+iA Systems that we represent as the 1 and 0 Systems in the Qubit and thus we can formulate this hypothesis say as follows with due respect to the “Like”:

A’+iA’=Vowel+Consonant(Vowel), and it simply means Two Vowels when go into the imaginary or the virtual plane create the consonants! 

Here, what we put as the “Consonant” as the output of the Vowel, the Qubit, the Berry’s Phase is the “Quantum Noise” as it involves the “Force of Friction”, which we can assume in any phase of two or more mediums or the phases:

“As a simple example, let we use two photons (i.e. two polarization qubits) having a small time lag to encode a qubit information. We define state “0” when both photons have the same polarization, and state “1” to be the case when the two photons have orthogonal polarizations. Now, after transmission over a refractive-index-fluctuating channel such as an optical fiber or air with turbulence, the phase difference between two main polarizations will fluctuate in an uncontrollable manner. The relationship of “same polarization” or “orthogonal polarization” is, however, unchanged, assuming that the time lag is small enough in comparison with the frequency bandwidth of the refractive index fluctuation. This assumption is valid in the usual cases, and we refer to this kind of noise as “collective noise.”

This means that if we pick up only the case that “the two photons have orthogonal polarizations” without determining each polarization, we can successfully pick up the quantum information.

When this scheme is used for photons A1 and A2 that are entangled with B1 and B2, respectively, then this scheme becomes “entanglement distillation” under collective noise.” (With thanks from the source: http://www.qi.mp.es.osaka-u.ac.jp/personal/imoto/i… )

Moreover, as the Quantum Noise seems to be the creation of consonants from vowels as according to our Hypothesis of Philselfology, we can notice that it’s as if the huge and big creation of Quantum Information Universe in the Quantum Computer Systems, and we can take advantage of this “Sacred Creation of Space Element of Berry’s Phase as giving us the Quantum Noise, the Creation of Consonants as a good news for the Achim Kempf’s experiments on the Sounds, Shapes and Universe, and thus the likely reasons that we can see audio, video and multimedia created just from Two Vowels, the Two Bits as the Qubit that has potentially lot more free space bank of the Quantum Memory Banks in the Quantum Computers:

“Now, researchers have figured out how to turn a source of noise into a solution for maintaining quantum memory. By individually addressing some of the atoms surrounding a qubit, they’ve turned each into an additional form of storage. By storing a single value in the qubit and its neighbors, they’ve created a form of error correction for quantum memory.

The research team, a collaboration between Delft University of Technology and the University of Iowa, was focusing on one of the standard forms of qubit storage: a nitrogen vacancy in diamond. Since nitrogen can only form three covalent bonds (instead of carbon’s four), it ends up with unpaired electrons when present in the regular matrix of a diamond. Those electrons can then be addressed as qubits, with their state set and read using light of the appropriate wavelength.” (With thanks from the source: http://arstechnica.com/science/2014/02/turning-a-s… )

So, if we consider the A’ to an electron, and think of A’-A’ as the Spintronics that we use to create the Qubit, we can easily reach to what it makes say as the Cooper Pair by Leon Cooper:

“Cooper showed that an arbitrarily small attraction between electrons in a metal can cause a paired state of electrons to have a lower energy than the Fermi energy, which implies that the pair is bound.

The Cooper pair state is responsible for superconductivity, as described in the BCS theory developed by John Bardeen, Leon Cooper, and John Schrieffer for which they shared the 1972 Nobel Prize.<2>” (With thanks from the source: https://en.wikipedia.org/wiki/Cooper_pair and https://en.wikipedia.org/wiki/BCS_theory )

If we have said that A’, the One Qubit to say as an electron, what else it can be is very simple from “How Stuff Works”:

“Qubits represent atoms, ions, photons or electrons and their respective control devices that are working together to act as computer memory and a processor.” (With thanks from the source: How Quantum Computers Work)

When we represent the A’ with 0, say 0-A’ or A’-0 or even the A’-0-A’, it represents the Spin (A’) and the Orbit 0, which simply means that 0 is absence of spin and at the same time it follows the Euler’s Formula with the Range of 0 to 1, and the Paring of Two Electrons can go say as the A’A’ or AA instead of A’-A’ as we need it in the Spin Orbit (SO):

Now, one may be curious about how we can correlate the A’, 2A’, 3A’ and the 4A’ as the A, E, O, and AE, and yes for sure, we can use our creative brain to well recognize it as the Quantum Braided Group of A, B, C, D if we say it so instead of A, E, O, AE, and thus get it all say as shown below:

Thus, the Quantum Braided Groups creatively seem to use the A’, 2A’, 3A’, 4A’ or the 4A’s as shown below:

So, we may wonder what is it all about, well, it’s all as the Braided Group, the Quantum Braided Supergroups, the Generators of the Topological Quantum Computing Systems:

“A Hopf algebra, or bi-algebra, in a braided category. In physical terms, this is a generalization of both the notion of a quantum group (cf. also Quantum groups) and a super-group, in which the role of Bose–Fermi statistics is now played by more general braid statistics. The term is sometimes also used (incorrectly) for an ordinary Hopf algebra equipped with a (co-) quasi-triangular structure, see Quasi-triangular Hopf algebra.

Associated to braided groups is a new “three-dimensional” kind of algebra, in which the algebraic information is expressed by braid and knot diagrams. In effect, algebraic operations are implemented by “wiring up” outputs of mappings to the inputs of other mappings. Algebraic information flows along these “wires” in much the same way as along the wiring in a computer except that, in braided algebra, under-crossings and over-crossings represent non-trivial (and generally distinct) operations. This braided algebra is one of the deeper structures behind quantum groups and their associated brand of non-commutative geometry.” (With thanks from the source: http://www.encyclopediaofmath.org/index.php/Braide… )

In other words, the A’ and A’ together create the Braided Group of A and 2A, the Single and the Double Knots, and that is what we see in the image below, that is the A’, A’, A and 2A, the Braided Group Theory:

“Every braid in B4 can be written as a composition of a number of these braids and their inverses. In other words, these three braids generate the group B4. To see this, an arbitrary braid is scanned from left to right for crossings; beginning at the top, whenever a crossing of strands i and i + 1 is encountered, σi or σi−1 is written down, depending on whether strand i moves under or over strand i + 1. Upon reaching the right hand end, the braid has been written as a product of the σ’s and their inverses.” (With thanks from the source: https://en.wikipedia.org/wiki/Braid_group )

We can very easily notice in the following image how A’ and A’ yield the A and 2A, the one and two knots say from A’ and A’ as A, the Single Knot and the A and A as the 2A, the Two Knots also giving the 2A, the Transitions of A-A and thus A’-A’A-A-A-2A Transitions:

So, we can imagine the A’, A’, A’ as the A, E, O as or otherwise the Ai, Aj and the Ak, and thus the Essentials of Knot Theory:

“From the Symmetric Group to the Braid Group

The principle of event symmetric space-time states that the universal symmetry of physics must have a homomorphism onto the symmetric group acting on space-time events. Now the symmetric group can be defined by the following relations among the transposition generators a1, a3, a3,…

aiajai = ajaiaj

ai2 = 1

The braid group is defined in the same way but with only the former relation. Put into words, this means that the braid group describes a symmetry where it does not matter in which order you exchange things but if you exchange two things then exchange them again you don’t necessarily get back to what you had before.

There is a homomorphism from the braid group onto the symmetric group generated by the second relation. This means that the braid group is also a candidate for part of the universal symmetry according to the principle of event-symmetric space-time. In that case space-time events would behave like particles with fractional statistics.” (With thanks from the source: http://www.karlin.mff.cuni.cz/~motl/Gibbs/knots.ht… )

We also notice that we can use the A’, 2A’, 3A’, 4A’ say as the A, E, O, AE or A, B, C, D for the Knot and String Theory:

“A String Made of Anyons?

It is almost certainly incorrect to model strings as loops of fermions. They must have some continuous form. To achieve this in an event-symmetric framework it will be necessary to replace the fermions with partons having fractional statistics which can be divided, i.e. anyons.

Defining creation and annihilation operators for anyons is not a simple matter. Various schemes have been proposed but none seem ideal. However, here we have the advantage that our anyons are strung together. The statistics and symmetries of anyons must be described by knot theory.

To progress further it will be necessary to study more general categories like those defined by Skein relations. Mathematical physicists are looking at ways to construct n-categories by stepping up a ladder of dimensions. The symmetries I have described here could be a related to such structures. The hope is that a full theory of quantum gravity and string theory can be constructed algebraically in such a fashion.” (With thanks from the source: http://www.karlin.mff.cuni.cz/~motl/Gibbs/knots.ht… )

When we consider the 4A’s and what it can create as A, 2A, and A, E, O, AE and lot more has great role of Braid Theory inside it as from the 4A’s, we can create at least 24 Elements as shown below:

Image: The 4A’s create the A-A, 2A, A’-A’-A, and other combinations, which this image displays well

Moreover, the 2A and A that 4A’s create also create the 2+1 Dimensional Systems in the Quantum Systems, and plays a great role in the applications of this Theory of A, the Schwa:

“The braiding of (2 + 1)-dimensional space-time trajectories formed by motion of physical rods, periodic orbits or “ghost rods”, and almost-invariant sets has been used to estimate the topological entropy of several engineered and naturally occurring fluid systems, via the use of Nielsen–Thurston classification.

In topology, a branch of mathematics, braid theory is an abstract geometric theory studying the everyday braid concept, and some generalizations.” (With thanks from the source: https://en.wikipedia.org/wiki/Braid_theory )

The A’ is also one of the Spin, which has its anti-pair, and thus when we A’-A’ join it creates the Pair of Spin and Anti-spin, which makes the 4A’s to have the 8 Spins, and thus the 4A’s giving us the 4 and 8 Dimensional Quantum, the Life Systems. In the Indian Sacred Systems, the A, the Schwa is the “Consciousness, the Chetana, the Jeeva, the Vishnu Part of Life, which sustains life in the Universe”, and thus when we study the Braided Groups and Knots using the 4A’s, it’s also the Study and Research of Consciousness, which is also popular as the Quantum Topological Geometrodynamics, the Quantum TGD as well promoted by Matti Pitkänen with his great works of TGD inspired theory of consciousness and biosystems as macroscopic quantum systems, in which he has used the X’s instead of our A’s as described in the reference below:

“Spacetimes as a 4-D surfaces in 8-D imbedding spaces

Topological Geometro-Dynamics (TGD) can be regarded as a unified theory of fundamental interactions. TGD was originally an attempt to construct a Poincare invariant theory of gravitation. Spacetime, rather than being an abstract manifold endowed with a pseudo-Riemannian structure, is regarded as a 4-surface in the 8-dimensional space H=M^4_+\times CP_2, where M^4_+ denotes the interior of the future light cone of the Minkowski space (to be referred as light cone in the sequel) and CP_2= SU(3)/U(2) is the complex projective space of two complex dimensions ( see the appendix of <TGD> and Fig. 1 ). The size of CP_2 which is about 10^4 Planck lengths replaces Planck length as a fundamental length scale in TGD Universe.

The basic manifesto behind quantum TGD is the geometrization of not only classical physics but also of quantum theory. Only the notion of quantum jump remains outside the geometrization program.

In this regard, the role of A’, 2A’, 3A’, 4A’ as the Schwa Braided Group can play the magic role in the Topological Quantum Computing, Math and Programming of various kinds.

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