There is always a naturalistic explanation. That's kind of the issue. We've never observed anything that didn't have a natural explanation proposed.
We've never had a naturalistic explanation over-turned in favor of a non-naturalistic one. Ever. Why should we ignore all of our previous knowledge and just accept the fantastical when there has never been an instance of it actually being shown to be true? That's not smug. That's just prudent.
Who says we're not investigating? SETI is a real thing that gets real government money. We're looking. We're investigating, but the only things we're finding are things that we would expect to find given our knowledge of physics and how reality works. Those things that we can't explain simply remain unexplained because there's no good reason to jump into fantastical, ill-defined, "super-natural" explanations. The leap is simply unjustified and we've never found a good justification to do it in any case. Ever. Not once.
Physics is the scientific study of
nature -- with man in
control of every variable aspect of each experiment.
Physics cannot describe the
supra-natural. Man is not in
control. Something
else is adjusting variables during the experiment, throwing everything off.
As a very "low" example of something supra-more-than-natural, imagine SETI receives an alien distress call... the aliens were trying to contact their Admiralty, but then detected Earth and went radio silent.
Who is in charge, in
control, of the signal? The
aliens. They transmit when, where, & to whom
they desire. And
never otherwise.
SETI swears they intercepted an alien signal... but no humans are ever again able to "replicate", "repeat", or "verify" the "result"... because it's
not a
result of
human-controlled experimenting activity.
SETI scientists swear up & down that they really did receive meaningful, intelligible communications from some intelligent source far far away in space.
And they are right. What they say is true.
But nobody "believes" them because nobody else receives the signal...
"If it doesn't happen to me, it never happened"...
That is the fallacy of applying physics, the study of
human-dominated nature, to the
supra-human,
supra-natural. If man really is
not in charge... physics is not even applicable, much less appropriate.
--------
The Apostle Paul claimed he received a meaningful, intelligible message from God in heaven, near Damascus in about 36 AD...
You didn't receive that "transmission"...
Ipso facto, it "just couldn't" have happened ???
A dozen other Jews, on the same region of Earth at around the same time, also reported receiving similar messages from Heavenly powers.
You didn't receive those either.
But that is
not logically relevant. Nobody has ever claimed, so much as once, that Scripture was "transmitted" to Earth on a continuous, repetitive, looping, "beacon" like signal that modern scientists "ought & should" be able to detect...
Nay, the claim is that Scripture has been communicated to a few people, here & there, now & again... with "radio silence" in between...
That is perfectly logically possible & plausible. Humans aren't sending those messages. Humans aren't in charge. They aren't in control. God in heaven is (according to reports).
Humans cannot expect to "replicate" one-off events that they aren't even in
control of... without trying to antagonize anyone, it's like (say) the
Hunt for Red October... some American sonar operator hears a one-off "ping" as some Soviet submariner drops a wrench... oops! They never do it again... no other American sonar operator ever hears anything again...
ipso facto, it never happened the first time???
If you are not in control of everything, if some other "intelligent freely-choosing actor" is involved in and affecting results... then applying physics, the systematic study of the effects of all of
your own actions, is not sufficient.
The "other guy" is dropping, or not dropping, wrenches... sending, or not sending, distress calls... communicating, or not communicating, Divine Messages to humans on earth...
You could take all the best human scientists, with all the best human detection equipment, and "fiddle" with the terrestrial environment all you want... and it all still provides almost no meaningful information, and none at all pertaining to the original question.
"Some Soviet submariner dropped a wrench, once"... is perfectly possible & plausible... yet unverifiable...
"Some alien transmitted a distress call, once"... is possible ("they got off one transmission before their ship imploded")... again, unverifiable...
God in heaven communicated to Jesus, the Apostles, and the Prophets of Scripture... but not to you or me... is totally possible... yet unverifiable...
Jesus, the Apostles & Prophets
told you, so that you have (by now) in fact heard... that they received meaningful, intelligible messages from Heavenly Powers...
no, they didn't have "Ghost Busters PKE meters" at the time & place... neither did your great great ancestors...
so it just comes down to, do you
trust & believe their reports to you ?
--------
Do you comprehend what you are demanding, when you demand to "repeat the experiment" to verify?
You are demanding that God in heaven equally communicate to
you... before you believe.
You are demanding to be one of the very very few "
Prophets"... before you believe !
You are demanding to be a "
Messiah-grade Super-Prophet"... before you believe !!
You refuse to believe... unless
you yourself are the next
Moses...
is that legitimate ???