Does fractal Universe favour warm inflation: Observational support?

TL;DR

This paper investigates whether a fractal universe model supports warm inflation by analyzing modified gravity with fractal geometry and comparing it with Planck observational data.

Contribution

It introduces a warm inflation model within fractal modified gravity and tests its compatibility with observational data across different parameters.

Findings

Model aligns with Planck data for certain fractal functions.

Both strong and weak dissipative regimes are viable.

Fractal geometry influences inflationary dynamics.

Abstract

The present work examines the possibility of warm inflationary paradigm in the modified gravity theory with fractal geometry. By choosing the normal fluid as radiation fluid and the effective fluid (with the extra term in modified field equation) as the inflaton field both strong and weak dissipative regimes have been studied using slow roll approximation with quasi-stable criteria for radiation. Finally, using the Planck data set, the present model has been analyzed for various choices of the fractal function and the dissipation parameter.