Regarding an event between the interaction of two distant elements, an expert in this field states:
"As far as anyone knows, there is no transmission of any useful information"
We accept this statement as being truthful, with no attempt to deceive, or mislead...... it is an educational statement, made by an expert who is not setting out to deceive.
This acceptance is a pre-requisite. As contributors have pointed out "language can be fuzzy", or could be structured to be intentionally misleading - which then opens up the possibility for all the other answers (fairly stated).
Therefore, from a genuine statement, we look to glean the maximum correct information.
Can we definitively state that information is being transmitted (that must be useless information)?
The Definitive Answer
If information exists, it is either useless or useful, or it contains both.
If information doesn't exist, it has no categorisation
The expert chooses to describe the information, therefore, the information must exist.
It is described as containing no useful information, therefore, it must contain useless information.
If no information was being transmitted, the expert would not categorise it, because it doesn't exist - no information being transmitted results in a statement:
"As far as anyone knows, there is no transmission of any information"
This logic is highlighted in:
A Rule of Language
Provided by John Y
The exception that proves the rule
Originally derived from legal terminology
A sign that says “parking prohibited on Sundays” (the exception) “proves” that parking is allowed on the other six days of the week (the rule).
John Y Noted: That he felt that this rule didn't apply here, however, for myself it appears to be perfect.
Notes on other answers
While correct for a multitude of scenarios, all are dependent upon the statement being fundamentally misleading, or fuzzy in nature.
To get an answer, we must believe that, as an expert, the guy knows when to state "As far as anyone knows, NO information was transmitted".
If we don't believe this, then the other answers are correct, and we can learn nothing definitively from the statement (other than what is said).