Translation of "Objectively" in Spanish

Are just objectively false,

son objetivamente falsos,

These are four issues that are objectively false.

Son cuatro cuestiones que son objetivamente falsas.

In order to publish a study where it was "objectively" demonstrated

para que sacaran informes en los que demostraran de forma "objetiva"

Beauty cannot be determined objectively but depends on personal aesthetic criteria.

La belleza no se puede medir objetivamente, sino que depende de criterios estéticos personales.

Because the scientific data tells us that all four are objectively false.

Porque los datos científicos nos dicen que las cuatro son objetivamente falsas.