What is the science behind audiophile fuses?

@britamerican -

         Better actually READ the original question.

                             EVEN, the TITLE:

What is the SCIENCE behind audiophile fuses?

       Apparently: you've overlooked the fact that the OP didn't change the question*, from 'HOW' to 'WHAT', until the second page (08-22-2022).

       I've very seldom tried to present definitive answers to anything, when it comes to our cables, fuses, interconnects, lifters, but: there exists a plethora of possibilities, presented by the experimentation, theories and developments in the sciences/fields of QED, Physics and electromagnetism.

 * My original question should have been more focused perhaps: "Can anyone in this esteemed forum share  experiences - good or bad - with so-called audiophile fuses?" 

                                To which I also replied.

 last time I checked, we didn’t know how gravity works.

I suggest you check again...

No need @thecarpathian. I did check. We still don't know for sure how gravity works. Lots of theories. Nothing for sure. Now some think they have discovered a new force as well at the subatomic level.

Why are people extolling their ignorance?  As a species we have developed outstanding descriptions of gravity and electro-magnetism.  The descriptions are more complex than what you would be taught in freshman physics, but complexity doesn't equal a lack of knowledge.   Listen to this guy.

I would posit that fuses are detrimental to audio (from the sound perspective) because they are non linear.  Fuses are designed to be a cascading failure.  The filament heats up as electrical current passes through it.  As it heats up the resistance increases causing further heating.  This filament is delicately balanced to ultimately heat up to the melting point at the rated current.  Besides being a constriction point to the flow of electricity they are also a non linear constriction point.

The ideal fuse would be digital.  That is it would have zero resistance up to the rated current and then go to infinite resistance- a step change.  But the temperature of the filament in a standard fuse is fluctuating with current and therefore the resistance is changing.  So the question is what do audio grade fuses do different?

Does an audio grade fuse act more like an ideal fuse?  Does it have lower resistance or less variation in resistance up to the point of failure at rated current?  Have these audio fuses been tested enough to insure that they will blow at the rated current?

If I had a mega Ohm bridge tester, I would compare the resistance values of a standard fuse side by side with an audio grade fuse at room temp, after cold soaking in a freezer and then after heat soaking in an oven at say, 400F.  That would be interesting data.