The harmonic oscillator, dimensional analysis and inflationary solutions

TL;DR

This paper demonstrates how to derive inflationary solutions in cosmology by applying dimensional analysis to the harmonic oscillator model, providing a straightforward and foundational approach.

Contribution

It introduces a novel method of obtaining inflationary solutions through dimensional analysis starting from the harmonic oscillator, offering a simple conceptual framework.

Findings

Exact inflationary solutions derived using dimensional analysis.

A step-by-step methodology connecting harmonic oscillators to cosmological inflation.

Clarification of inflationary dynamics from a basic physics perspective.

Abstract

In this work, focused on the production of exact inflationary solutions using dimensional analysis, it is shown how to explain inflation from a pragmatic and basic point of view, in a step-by-step process, starting from the one-dimensional harmonic oscillator.