The Josephson junction consists of a thin layer of insulating oxide material between two superconducting electrodes and is used mainly in measuring magnetic fields. In 1973, physicist Brian Josephson shared in the Nobel prize for physics “for his theoretical predictions of … those phenomena which are generally known as the Josephson effects”.
("The Nobel Prize in Physics 1973” https://www.nobelprize.org/prizes/physics/1973/summary/)
“At sufficiently low temperatures, electron-pairs pass through the insulating portion by quantum tunnelling.” (Penguin Encyclopedia 2006 - edited by David Crystal - 3rd edition, 2006 - ‘Josephson junction’, p.715)
Josephson, then a 22-year-old research student at Cambridge University, had a debate in 1962 with John Bardeen who had shared the 1956 Nobel Prize in Physics with William Shockley and Walter Brattain for the invention of the transistor. He would share a second Nobel prize in 1972 with Leon Cooper and Robert Schrieffer for their 1957 solution (the BCS theory) of the long-standing riddle of superconductivity.
(McDonald, Donald G. - “The Nobel Laureate Versus the Graduate Student” - https://pubs.aip.org/physicstoday/article/54/7/46/411592/The-Nobel-Laureate-Versus-the-Graduate-StudentJohn)
In an e-mail sent in the year 2000, Josephson offered the admonition: “Beware ye, all those bold of spirit who want to suggest new ideas.” His words apply to his younger self who, in 1962, was “bold of spirit” and “want(ed) to suggest new ideas”. What did he need to beware? Possibly – older scientists with established ways and conservative views … perhaps even his older, settled-into-tradition, self. Throughout history, older scientists have always argued against new ideas – and while many new ideas are indeed wrong, others which may seem to defy the laws of physics always win in the end. A quote attributed to Max Planck, the physicist who was a pioneer of quantum theory, says “A scientific truth does not triumph by convincing its opponents and making them see the light, but rather because its opponents eventually die and a new generation grows up that is familiar with it.” Those words may appear harsh but they remind us that elder scientists, even today and in future years, are – besides being vital teachers with much experience – subject to the conservatism which affects every person.
John Bardeen once commented –
"The idea of paired electrons, though not fully accurate, captures the sense of it."
(J. Bardeen, "Electron-Phonon Interactions and Superconductivity", in Cooperative Phenomena, eds. H. Haken and M. Wagner [Springer-Verlag, Berlin, Heidelberg, New York, 1973], p. 67).
Since paired electrons is not fully accurate, the BCS theory of superconductivity needs a further consideration. That factor would be to focus on the wave portion of quantum mechanics’ wave-particle duality instead of on particles.
This discussion suggests that both the combination of particles/antiparticles, and the quantum pressure of interacting gravitational and electromagnetic waves, are valid interpretations of a) the Hawking radiation emitted from black holes, and b) superconductivity not using the second half of duality i.e. paired electrons. Instead, the electron waves and wave mechanics of Louis de Broglie (1892-1987) are used – electron waves could maintain the superconducting circuit by travelling through the spaces between the atoms in the oxide material. This agrees with "Measurement of the time spent by a tunnelling atom within the barrier region" (https://doi.org/10.1038/s41586-020-2490-7) which says quantum tunnelling is not instantaneous - it's a result of particles' wave function.