  Introduction: molecular geometry, the three-dimensional arrangement of atoms
within a molecule, is fundamental to understanding chemical reactivity,
physical properties, and biological activity. The prevailing models used to
describe molecular geometry include the Valence Shell Electron Pair Repulsion
(VSEPR) theory, hybridization theory, and molecular orbital theory. While these
models provide significant insights, they also have inherent limitations.
Applying string theory and graph theory with topological and macrotensorial
methods could improve the understanding of molecular behavior. Objective:
explore the potential applications of string and graph theory to material
science, focusing on molecular geometry, electron domains, and phase changes
via symmetries. Molecular geometry: each molecule is associated with a simple
graph with an orthonormal representation inducing metrics via the usage of
macrotensor operators, allowing the calculation of angles between molecules and
following the equations of motion. Phase changes: a series of inequalities are
proposed depending on the energy-momentum densities of bonds and the edges of
the associated graph where electrons or atoms are located, its topology, and
isometries, exploring possible new states of matter. Conclusions: application
of macrotensors, graphs, string theory, partitions, and correlation functions
of dimensions to material science, specifically to molecular geometry and phase
changes, allows for a more dynamic and flexible description of natural
phenomena involving matter and the prediction of possible new states of matter
as other forms of condensates. This presents a different perspective, opening
possibilities for Experimental confirmation, applications, simulations of
examples and further refinement of the presented approach are anticipated,
which could be transformative for material science.
