Edwin VanGorder

Saddleback Points between Exceptional and Diabolic Points as Quark Sea Gain and Loss to Holographic Black Hole Analogical Transpose via Black Box Confinement of Quantum Color through the Interference Cave…

The drawing continues the Phi Nomen phenomenon as it were (golden section) as embedding pi relative the “atomic “ primes of the Sporadic and the Monster Moonshine hypothesis linking string theory harmonics then to Sporadic groups as brought to attention by their mutual 26 categories which specifically relate to the (j)- function in particular which allow modular extensions in complex space relevant also to my drawing hypothesis that a saddleback point can be created linking what are called Exceptional points and Diabolical points as expression respectively of eigenvector melding or coalescing via gain and loss to eigen value and momentum to velocity (latterly)   and which reviews to a consideration of matrix to linear construct in which rows implicate multiples and basis motion while columns motivate vectors to a contrasting division approach relating the reciprocal nature of the dynamic.

The particular relationship of Fischer 1, Weak Thea(Weinberg Angle) and the Bottom quark relate a tensor form which I hypothesize structures the first form of matter as Plasma, in which quarks and gluons were not bound as becoming subject to fields which then did bind by also limiting quark production or “quarkonia” and so  relates to the idea of cosmic voids which in a sense map this and per the article https://doi.org/10.1093/mnras/staf781

Testing the local void hypothesis using baryon acoustic oscillation measurements over the last 20 yr

And relating it to Relate this  to Primordial Soup was Full of Flavors

https://physics.aps.org/featured-article-pdf/10.1103/PhysRevLett.134.142301

it then seems to me that baryonic osculation relate to string oscillations as effect of quenching and that in the color confinement these are incident in the same way as Black Hole radiation if we give this number line cosmogenesis the analogon of its toy world lines , sheet and tube it would be string theory configurations which would be the necessary computer ansatz. 

Turning then to the numbers of consideration:

Fischer Group1 of Sporadic of 64561751634400 as in reciprocal 1.5489 and this approx. 1.5393 or unity plus three times the golden section module .618 and in reciprocal approx. .65…

The Bottom Quark at 9180 mass to it’s metric is in reciprocal .0001089 and naively normalized as 3.1089 is in reciprocal .3216 and this doubled approx. .64 which is in reciprocal 1.56  and .64 times three is 1.927 in reciprocal .518 of which 1.927then can be seen   equals .65 (as in the Fischer 1) and .64 plus .6336 the latter unity plus the square root of three and is also  the  half ratio of the reciprocal of .788  being  the square root of the golden section. Interestingly then the use of a complete elliptical integral in which .64 is primed as .64 times the square root of unity minus .64 e.g. the complement the result of this “nome”is  the reciprocal of the square root of six and this plus the reciprocal of the square root of seven will equal .788 or the square root of the golden section which itself is the sum of the reciprocal of the square root of ten as being ten times the reciprocal of pi then added to the square root of eleven as proposed which is three times unity plus the reciprocal of Pi thus in sum .618 which we may place in relation to the Weinberg angle .231 which times seven is 1.618 the golden section proper. So we see then the sums of the square roots of six and seven in relation to the square roots of ten and eleven.

In the drawing I use a parallel to the Dirac four tensor by using the numbers .518, .6336,.65,.64 … I find it also constructive to consider the square root of .788 which is .888 a number whose complement is .112 or per the 8.927 to metric of the the vacuum electric charge. .888 itself is 1.126126… and .126 squared is .0156 or 64 thus ten times our familiar .64 and is extensively mirrored and modelled in the Planck… and recently figures  per 126 as the dimension of interest in the Kervaire Invariant https://arxiv.org/pdf/2412.10879

(relating to exotic spheres in which the inverse mapping of adjacent surfaces in context of sphere builds a kind of mobius bridge of the k dimensional… and by implication the structuring of diabatic to adiabatic to black box considerations as we have broached in color confinement as a black body…

In terms of the drawing this relates to my improvising an analogon to the saddleback point by presenting it as a bundle form split on orthogonal corners of composition and so passing and diverging at center various scales can compose to centers in a mirroring, but where the squares are replaced by circles then the splitting of the ray becomes involved in an exotic sphere mobius potential over next to next leading order presentations…

section…  we noted that Through the use of a complete elliptical integral .64 times the square root of unity minus .64 squared will produce .3782 the square root of seven and .788 will equal the square root of seven plus the square root of six and .788 the square root of the golden section as itself the sum of the square root of ten as ten times the reciprocal of pi then added to square root of eleven as in reciprocal three times unity plus the reciprocal of pi sum to .618 the golden section module and we review that weak thea the Weinberg angle at .231 is times seven the 1.618 golden section term proper… we then have seen the square roots of six and seven related to those of ten and eleven and .518 the square root of .718 (figuring in Eulers 2.718281828450) added .788 or square root of golden section sum as 1.236 or half ratio of the square root of five the parent form of Golden Section.

Van’s number is my creation of a kind of  s numerical plasma of golden section derivatives between .0019 and .0091 in which the binding quality of Pi embedded in Harmonics and Harmonics in Primes is a clue toward “color quality” of vibrational damping we see proposed in Eulers number as relating via its structure of  the reciprocal of the square root of seven plus the reciprocal of the square root of eight plus the reciprocal of E equals 1.1 which  numbers palindrome addition of .81 plus .82 also equals as taken to decimal ( noting that .81 as 1.234567 vies the cardinality quoted into most Algebras and seemingly related to the square root of two times four as square root of  eight) horizons. .1828 is the complement in that number to the Palindrome .8172 relative  2.718 and .8172 in reciprocal and doubled is square root of six… 1.1 then is the magic number of thin material physics enabling the damping quality towards super conduction and relation to Dirac cones. Three approaches, multiplication by 1.1, complete elliptical integrals , and random association between the elements of Van’s number propose the drawings number line cosmogenesis analogon to red , blue, green… In addition to the use of Van’s number there is also Van’s Triangles a  pair of triangular matrices preparing the spread between a section of the number e.g. between .0073 and .7003 which gives an interesting variation on Exceptional point while relating to the complement of the reciprocal value of C speed of light. The general interest is category theory or the complete list of isomorphisms, e.g auto morphism, meromorphism, diffeomorphism, symplectomorphism, homeomorphism as prompts to possibilities in spectral transform probabilities range of next to next to leading zeros relative ontology of mapping to and onto ie direct and indirect elements of fuzzy number bridging… Finally the grid used as a harmonic Hermitian golden section bridge implicates the structure of 126 and .126 as mentioned in the squaring of .126 from term .888 as root of the root of the golden section is squared .0156 and thus 64 or 8 square matrix in the linear reciprocal… Van’s Grid then will subdivide the golden section harmonic surface to.0156 intervals 64 times  approx. as manifold. This comes from a structure where a central .1056 area as the interval between twice the square root of five in unity is paired to structure over relating the golden section spiral to both the number proper and also its parent the square root of five thus 1.618->.618->.382->.236->.146->.09 on one tract and from .4472 or reciprocal of square root of five on the other tract then .4472->.2764( with reciprocal 3.618 relating to 2.764 as .3618 giving a glimmer of relation of golden section to square root of eleven and ten in reciprocals summed)_>.1056->.0652-.0404->.0248 and half ratio .0124->.0156->.0073->.0064->.0046… out of this then the .1056 of the grid center has .0652 on each flank thus .236 followed by .146 and the pattern repeated by creating from edges .236 with .1056 centered creates the Hermitian Golden Section Palindrome Quincunx Grid where all value subdivide to packets of the .0156 value ..note .236 time three as .708 gives a value of the square root of two parallel .707 and thus a bra-ket.