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Analysis

This paper investigates the number of degrees of freedom (DOFs) in a specific modified gravity theory called quadratic scalar-nonmetricity (QSN) theory. Understanding the DOFs is crucial for determining the theory's physical viability and its potential to explain cosmological phenomena. The paper employs both perturbative and non-perturbative methods to count the DOFs, revealing discrepancies in some cases, highlighting the complex behavior of the theory.
Reference

In cases V and VI, the Hamiltonian analysis yields 8 degrees of freedom, while only 6 and 5 modes are visible at linear order in perturbations, respectively. This indicates that additional modes are strongly coupled on cosmological backgrounds.