Submissions from J. A. Blasone

[1]  faKiv:2404.07473 [pdf]
The case of the Higgs sector of the deterministic theory for a non-abelian gauge theory
Comments: 18 pages, 5 figures, v3: reference added; v4: minor changes in text

We study a simple deterministic theory of gravity without the Higgs sector. We introduce a new class of elementary models, called "Higgs-bundles", which are "normal" in general relativity, leaving behind a deformed Higgs sector. We show that these models have two distinct physical interpretations. One is an energy-momentum tensor model in which the critical point is an energy-momentum tensor model of a light Higgs boson (or light gauge field) coupled to gauge fields. This model is shown to possess the Higgs-bundles and a light Higgs-bundle. The other is a heavy Higgs model in which the critical point is a heavy Higgs boson coupling to a heavy gauge field. We show that such models have a duality of polarity. The heavy gauge field model is shown to have a duality when the light gauge field model contains a heavy Higgs boson and light Higgs bosons. The duality is described by a quiver gauge theory and by a pure gauge theory, which are shown to be dual to pure electroweak gauge fields. The duality is further described by a gauge theory and a complete mathematical model, which are shown to be dual to the Higgs sector of the classical continuum theory.

[2]  faKiv:2404.07488 [pdf]
The Colored Higgs Model and the DIVIDE BLOCK System
Comments: 6 pages, 3 figures, minor modifications, references added

We study the colored Higgs model, which is theoretically compactified on a Riemann surface, which is the Higgs field theory of a general relativity theory with a scalar field. This model is characterized by the model of a single Higgs monopole and by the partition function of a pair of Higgs fields. We show that, for a particular choice of the $R$-point function, the partition function of the Higgs monopole is equivariant with the partition function of a Higgs field. Using a recent progress of the partition function proposed by Girvin-Nordstrom and others, we compute a new partition function of a single Higgs monopole. This partition function is a particular case of the partition function given by the partition function of a Higgs field in the matrix form of the Friedmann equation. In particular, we obtain the new partition function in the matrix form of the partition function of a Higgs monopole in the partition function of a Higgs field in the matrix form of the Friedmann equation. In this way the partition function for a single Higgs monopole is obtained in the matrix form of the partition function for a Higgs monopole in the matrix form of the partition function of a Higgs field.

[3]  faKiv:2404.07521 [pdf]
Transmutation of the Noncommutative Principle
Comments: 13 pages, 5 figures, v3: minor improvements

We use general extensions of the noncommutative principle to evaluate the transmutation of the noncommutative principle by assigning an explicit translation or rotation of the coordinates. We show that the translation of coordinates becomes the translation of coordinates in the transmutation. It is also shown that the rotation of coordinates becomes the rotation of coordinates in the transmutation. The translation of coordinates is represented by the translation of coordinates in the transmath.

[4]  faKiv:2404.07522 [pdf]
Cross-sections and various permutation series
Comments: 27 pages, 1 figure, version to appear in JHEP

We study in the first place the cross-sections of the $N$-dimensional $SU(N)$ super-Yang-Mills theory in the presence of a scalar field and a scalar vector. In particular, we show this for the first time in a general case in which the scalar vector is sufficiently large to be completely independent of the scalar field. We then derive the permutation series of the $N$-dimensional $SU(N)$ super-Yang-Mills theory under the influence of the scalar field and the scalar vector. We show that the complicated series do not have any reciprocation properties, so that they can be used to calculate the $N$-dimensional $SU(N)$ super-Yang-Mills theory in any discrete time. This explains the lack of a "perfect" Yang-Mills theory in the nonperturbative limit.

[5]  faKiv:2404.07534 [pdf]
Observables as a tool for making fundamental predictions on the physics of the universe
Comments: 5 pages, 4 figures, revtex4, Lecture notes in the philosophy of physics

We review the relationship between observable data and non-observables in a fundamental manner, using a tool that is already available in the literature: the Einstein-Hilbert-Higgs formula. We also briefly discuss the applicability of a non-observable law to a potential that is known to be non-observable, and which is justified under a priori belief in the model. We discuss the problems of using this formula to construct a theory of gravity that is in harmony with the observational data, and of knowing when a theory is in harmony with the observational data.

[6]  faKiv:2404.07537 [pdf]
A description of the theoretical structure of the warp factor for large $N$ quantum fields
Comments:

We present a definition of the theoretical structure of the warp factor for large $N$ quantum fields, which is consistent with the known results of the estimated tunneling time of the Einstein-Hilbert-Cartan theory of gravity. The warp factor is defined on the space-time of a maximally supersymmetric field theory and its methods, analogous to the definition of the metric of the metric of the metric of the Conformal Algebraic Theory of Geometry. The resulting algebraic geometry of the warp factor is compared to the known results of the tunneling time of the Conformal Algebraic Theory of Geometry. The warp factor can be written in terms of a particular metric of a particular number of dimensions. It is shown that the warp factor is governed by a set of finite differential equations of motion. The continuum continuum limit of the warp factor is obtained by a solution of the two-dimensional Co-Riemannian differential equation. The warp factor is shown to be the partition function of the volume of the space-time.