Cosmological equations follow either from Jacobson’s approach,
that connects gravity to thermodynamics by associating Einstein
equations to Clausius relation (6), or Padmanabhan’s suggestion
that relates gravity (i.e., Einstein equations) to microscopic degrees
of freedom through the principle of equipartition of energy (2).
We analyzed two entropy-area terms, logarithmic (3), and powerlaw
corrections (4), the former coming from loop quantum gravity,
the latter from the entanglement of quantum fields