Scientific evidence shows there is extreme precision in everything around us in the natural world.
I'm going to play "atheist's advocate" and disagree somewhat with your sentiment.
1. There is no such thing as "scientific evidence"; there is only "evidence."
2. There is always, everywhere, exactly as much precision as one will measure.
3. I still haven't observed any artificial worlds
Precision leaves no room for error or for surprise results.
Precision includes error; the error is defined by the precision.
Rather, precision requires deliberation.
Precision requires calibrated instrumentation.
Take, for example, the first 60 elements that were discovered on the Periodic Table of the Elements of planet earth.
1. Nobody has ever discovered any elements on the Periodic Table of the Elements. All the elements were discovered elsewhere.
2. The Periodic Table of the Elements of planet earth happens to be, by sheer coincidence, the same Periodic Table of the Elements for all the other planets, as well as for the sun, the moon, and southern California.
3. If you spend one second listing off the first 60 elements of the Periodic Table of the Elements, it will constitute one minute of your life that you'll never get back.
The atoms—from which the Earth's elements are made—are specifically related to one another.
Are they like second cousins?
In turn, the elements--e.g. arsenic, bismuth, chromium, gold, krypton--reflect a distinct, natural numeral order based upon the structure of their atoms.
Would that number represent the number of protons in the nucleus? Do you think it's a highly unusual coincidence that the elements ended up in that order?
It's an arbitrary ordering. Consider yourself fortunate that you never had to study the "Cyclical Continuum":
Accident:
"a nonessential event that HAPPENS BY CHANCE and has undesirable or unfortunate results."
Poor definition and inaccurate. An accident can have very fortunate results, and if those results are the saving of a life, it becomes an essential event.
2. Could the precise law within the first 60 discovered elements (on the Periodic Table) have resulted by chance aka spontaneously aka by accident, considering that, by definition, an accident causes "unfortunate" results and a spontaneous event shows lack of planning?
You are correct. Nothing in physics can occur according to a poor, inaccurate definition.
3. As concerns the elements on the Periodic Table, provide a credible explanation for why there was no need for an Intelligent Designer/God who caused them to come into existence, considering that all of the elements are so precise, and so interrelated with one another, that the Periodic Table has been assigned the word "LAW" aka Periodic Law.
Null is exceedingly volatile and reacts to create stable universe systems (2nd law of thermodynamics).