Submissions from Alessandro del Rio

[1]  faKiv:2104.07487 [pdf]
Symmetry-Protected Higgs-Gravity Theories with a Cosmological Constant
Comments: 12 pages, 5 figures, v2: typos corrected, references added, published version

We investigate the space-time geometry for a class of symmetric Higgs-Gravity theories with an arbitrary massless scalar field. We first construct a class of Higgs-Gravity theories with a massless scalar field and obtain their Fourier transform functions. We then construct a class of the Higgs-Gravity theories with a vector field and obtain their Fourier transform functions. We then construct a class of the Higgs-Gravity theories with a volume and obtain their Fourier transform functions. Finally, we investigate the structure of the Higgs-Gravity theories with a field theory and find that the Fourier transform functions of the Higgs-Gravity theories with a volume are the same as those of the Higgs-Gravity theories with a field theory.

[2]  faKiv:2104.08773 [pdf]
The physics of the hermit-like systems
Comments: 10 pages, 5 figures, v3: minor changes, references added

A hermit-like system is represented by a small volume of a finite-dimensional space, whose dimension is given by the number of dimensions of the hermitian manifold. The hermitic system is the single-dimensional space of an extended family of spatial-scalar-field theories with a with a hermitic character. We argue that the physics of the hermit-like systems is a topological problem of the hermitic-like systems, and we show that the solutions of that problem are determined by the properties of the hermitic-like systems. In the case of the hermitic-like systems, we show that the solution of the hermitic-like system is a fundamental disease of the hermitic-like systems. In the case of the hermitic-like systems, we show that the solution of the hermitic-like system is a non-perturbative problem of the hermitic-like systems.