What is the science behind audiophile fuses?

       Anyone needing a rationale for experimenting with new fuses, cables or various, "tweaks" in their system and/or feeling dissuaded by the Church of Denyin'tology's antiquated electrical doctrines: take heart!

        Many new electrical facts have been established in the past 100 years, lending support for the audible differences between them.

         I couldn't find anything like, "Updated Electrical Theory For Idiots", but- did manage to find something resembling a cartoon, that even a child could follow.  It neither mentions AC/sinusoidal waves in wires, nor does it go into the photon propagation of electromagnetic waves.   It does, however, emphasize/demonstrate how Electrical Theory has progressed, since the 1800s:

              (https://www.youtube.com/watch?v=KGJqykotjog)

        These next two presuppose a certain amount of knowledge, in the field of modern Electrical Theory.    Click, "more" in the first link's third answer, to get its entirety.    Note how it mentions the OLD, "... commonly held misconception that the flow of electricity through a wire resembles a tube filled with ping pong balls...", to which the Denyin'tologists fervently adhere: 

https://www.quora.com/Are-photons-involved-in-all-forms-of-electricity-for-example-when-it-flows-through-wires?utm_medium=organic&utm_source=google_rich_qa&utm_campaign=google_rich_qa     

                                            and:

        https://van.physics.illinois.edu/qa/listing.php?id=2348

                                     per Feynman:

        It's an established (measured) fact that an electromagnetic wave's propagation and speed, are dependent on the materials, of which the transmission line (cable) are made (ie: Dielectric Constant/permittivity).     The better (lower) the Dielectric Constant the better the flow and the longer it takes for that material to become polarized.     One reason anything that comprises an RLC circuit (ie: capacitors, cables, PC boards), takes time to, "form", or, "break/burn-in".*      

                                  *Some things that make the Denyin'tologists apoplectic:
   https://resources.pcb.cadence.com/blog/2019-dielectric-constant-of-pcb-substrate-materials-and-signa....
                  The, "conductor" acts as a waveguide (especially, see section 5.3):
https://unlcms.unl.edu/cas/physics/tsymbal/teaching/EM-914/section5-Guided_Waves.pdf

          Even the most inane (regarding the Sciences) must admit; braiding and twisting wires eliminates/reduces EMI interference.              
          That must lend credence to various cable geometries.

          That better dielectrics enhance the propagation of electromagnetic waves (ie: your music signal), lends the same credence to choosing cables with better materials (ie: Polypropylene, Teflon, air, etc).

           Of course: anything the Church of Denyin'tology's popes can't fathom, they'll summarily dismiss.

         As simple a device as a fuse is: it still carries a sinusoidal signal/voltage, ALWAYS from source to load.

                                                 NOT back and forth!

         Also (as mentioned above): any fuse acts as an RLC circuit, the 'C' of which will be determined by properties of its wave guide's/conductor's surroundings (ie: glass, air, bee's wax, ceramic, end cap materials, etc).

          Any commonly drawn wire will exhibit a chevron pattern in its crystal lattice, so: why not "directionality" and why OHNO Continuous Cast, single crystal wire sounds better, to so many?

                   Stated above are scientifically tested, measured and proven facts. 

                                  There is no "contest", or "dispute" involved.

         The OP mentions Maxwell, but: obviously they have no understanding of his theory and possible ramifications as regards the above.

          Anyone that feels compelled to harp on not hearing any differences, is obviously too obtuse to understand the term "variables" (as frequently mentioned) and worthy of disregard.

          My only goal in these threads has ever been to encourage those with a mind to experiment with their systems, based on the latest (20th/21st Century's) findings of ACTUAL Physics/science and ignore the Cargo Cult's incessant runway building (objections, convolutions, deflections and obfuscations).

                                                       Happy listening!