# Comments on real tachyon vacuum solution without square roots

## TL;DR

This paper verifies the consistency of a new tachyon vacuum solution in open bosonic string field theory, confirming it satisfies the equations of motion and matches expected vacuum energy predictions.

## Contribution

It introduces and analyzes a real tachyon vacuum solution without square roots, demonstrating its validity and numerical agreement with Sen's conjecture.

## Key findings

- Equation of motion contracted with the solution is satisfied
- Numerical vacuum energy agrees with Sen's conjecture
- Solution expansion confirms theoretical consistency

## Abstract

We analyze the consistency of a recently proposed real tachyon vacuum solution without square roots in open bosonic string field theory. We show that the equation of motion contracted with the solution itself is satisfied. Additionally, by expanding the solution in the basis of the curly $\mathcal{L}_0$ and the traditional $L_0$ eigenstates, we evaluate numerically the vacuum energy and obtain a result in agreement with Sen's conjecture.