Submissions from Alessandro del Rio
 [1] faKiv:2104.07487 [pdf]

SymmetryProtected HiggsGravity Theories with a Cosmological ConstantComments: 12 pages, 5 figures, v2: typos corrected, references added, published version
We investigate the spacetime geometry for a class of symmetric HiggsGravity theories with an arbitrary massless scalar field. We first construct a class of HiggsGravity theories with a massless scalar field and obtain their Fourier transform functions. We then construct a class of the HiggsGravity theories with a vector field and obtain their Fourier transform functions. We then construct a class of the HiggsGravity theories with a volume and obtain their Fourier transform functions. Finally, we investigate the structure of the HiggsGravity theories with a field theory and find that the Fourier transform functions of the HiggsGravity theories with a volume are the same as those of the HiggsGravity theories with a field theory.
 [2] faKiv:2104.08773 [pdf]

The physics of the hermitlike systemsComments: 10 pages, 5 figures, v3: minor changes, references added
A hermitlike system is represented by a small volume of a finitedimensional space, whose dimension is given by the number of dimensions of the hermitian manifold. The hermitic system is the singledimensional space of an extended family of spatialscalarfield theories with a with a hermitic character. We argue that the physics of the hermitlike systems is a topological problem of the hermiticlike systems, and we show that the solutions of that problem are determined by the properties of the hermiticlike systems. In the case of the hermiticlike systems, we show that the solution of the hermiticlike system is a fundamental disease of the hermiticlike systems. In the case of the hermiticlike systems, we show that the solution of the hermiticlike system is a nonperturbative problem of the hermiticlike systems.