Is there scientific (observe/test) evidence that any known phenomenon can produce (none existed before) information besides intelligence?

No.

I don't think "information" is the word you're looking for, and I can't tell what you did mean instead.

Anything that isn't truly random is information. The wavelength of light emitted by a star is information. The decay rate of a radioactive substance is information. Bubbles being emitted from the ocean floor are information.

These things are still information even if no intelligent being is observing them.

Is there scientific (observe/test) evidence that any known phenomenon can produce (none existed before) information besides intelligence?

---- Yes.

Nearly all "information" studied by the physical sciences is a product of non-intelligent forces. (For example, the "information" in the water that makes it H2O. H2O is not some code conveying a message.)

Indeed, "Fisher information" specifically deals with measuring thr amount of information that is observable in random variable. (Random variable, clearly don't require intelligence. ) This is used in the Fisher information matrix to calculate the covariance matrices associated with maximum-likelihood estimates.

It sounds like you are confusing the definition of information in math and semiotics with the definition information has in physics.

In other words, you are trying to use "communication information" in place of "physical information."

I think you're very confused about what "information" means in a scientific context.

Not really quite sure what you are asking here as I think you have forgotten something, but if you are asking if we can know there is a Supreme Being, then yes, most definitely.

Yes. Mutations can increase the informational content of the genome.

Think everybody in the world has experienced luck...just for starters. As for measuring it, that's for those wacky scientists to chop up and massacre. =)

pheromones contain information but are not intelligent

YES!!!!