Is there any objective evidence that the human soul is real? If so, how were the measurements obtained?

Um, no, but it's universally accepted that colored people have a lot of it.

There is a case we're a live person agreed to be sealed in a glass coffin at his last moments of life. the coffin was weighed several times with a digital scale gram sensitive..before the man died....

After the person died as recorded by krilian photography the glass coffin was weighed again and found to weigh 2/32 of Oz less.

This experiment has since been repeated 3 times and the result was a tiny weight loss each case since the coffin was sealed it's pretty certain that life force has weight .

That doesn't prove any intelligence of that energy.

Nor do I personally have seen this allegation

I'm just telling it 2nd hand

No - there is no such thing as a soul.

The closest thing is personality, character, etc.

No, there is presently no scientifically recognized observations or measurements to support the existence of a soul as defined by religions in general or Christianity specifically.

However, "belief" may be explained by science, but it doesn't require support from science so lack of evidence of a soul or a god will never be a deterent.

The same way we measured kindness.

No physical evidence. The soul is eternal, as in...

Matthew 10:28

And do not fear those who kill the body but cannot kill the soul. But rather fear Him who is able to destroy both soul and body in hell.

destroy means eternal separation from God.

Colossians 1:16-17

16 For by Him all things were created that are in heaven and that are on earth, visible and invisible,

whether thrones or dominions or principalities or powers. All things were created through Him and for Him.

17 And He is before all things, and in Him all things consist.

Is there any objective evidence to support Atheistic claims of the non-existence of God?

If a human has a personality then he or she has a soul since a personality is a soul or vice-versa.

the fact that you conceived this thought, and wrote it down is proof

no animal does this

"I think, therefore I am" DesCartes