| Phenomenon | Standard physics | Substrate model |
|---|---|---|
| Meissner effect | Superconductor expels magnetic flux below Tc. Surface screening currents cancel B in bulk. | Cooper pair vortices collectively refuse external co-rotating flow that would disrupt their shared seams. Surface currents create counter-flow to cancel the field. Cheaper than breaking all pair vortices. core mechanism |
| London penetration depth | Characteristic depth over which B field decays exponentially inside surface. Depends on superfluid density. | Depth of cooperative screening flow. More pair vortices = denser counter-flow = shorter penetration. Grows as T approaches Tc because pairs break. core mechanism |
| BCS energy gap | Minimum energy to break a Cooper pair. Creates gap in excitation spectrum. Vanishes at Tc. | Energy stored in the shared counter-rotating vortex seam. To break the pair, must tear this vortex apart. Strongest at T = 0, vanishes at Tc when thermal energy overwhelms vortex binding. core mechanism |
| Flux quantization | Trapped flux in a ring = integer multiples of Φ₀ = h/(2e). Factor of 2 from pair charge. | Pair pilot wave must complete integer cycles around the ring — boundary-matching quantization, same math as hydrogen orbitals and modon eigenvalues. Factor of 2e because the circulating object is a pair. core mechanism prediction: same math as Sec. 7 |
| Isotope effect | Tc proportional to M⁻¹ᐟ². Heavier isotopes suppress Tc. Proves phonon-mediated pairing. | Heavier nuclear core = harder to displace = weaker channel compression = weaker pairing vortex = lower Tc. Connects nuclear mass directly to pair vortex binding strength. prediction confirmed |
| Type I vs type II | Determined by κ = λ/ξ. Type I: complete flux expulsion or full breakdown. Type II: allows partial flux penetration via vortex tubes. | Ratio of screening depth to pair vortex extent. Type I: vortices too wide to coexist with flux — all or nothing. Type II: compact vortices survive between flux tubes, creating a mixed state. observable |
| Abrikosov vortex lattice | Flux penetrates type II as quantized vortex lines that self-organize into triangular lattice. | Flux tubes are channels where external co-rotating flow threads through. Screening eddies around each tube repel, self-organizing into minimum-energy triangular packing — a visible, macroscopic echo of substrate boundary physics. observable visual analog from Sec. 10 |
| Josephson effect | Cooper pairs tunnel through thin insulating barrier. DC: supercurrent at zero voltage. AC: oscillating current at frequency 2eV/h. | Pair vortex (100 nm) bridges a 1-2 nm barrier — vortex eddies thread through gap maintaining coherence on both sides. Voltage shifts phase across the bridge, oscillating pairs back and forth. core mechanism |
| Critical current | Maximum supercurrent before superconductivity breaks down. Related to gap and geometry. | High drift velocity shears the shared pair vortex — upstream electron leads, downstream trails. At Jc the shear exceeds vortex binding energy and pairs tear apart, cascading into normal state. prediction |
| Critical field (Hc, Hc1, Hc2) | Magnetic field thresholds for destroying superconductivity. Type I: single Hc. Type II: Hc1 (first flux entry) to Hc2 (full breakdown). | External co-rotating flow overwhelms pair vortex binding. Hc1: first flux channel punctures pair lattice. Hc2: channels so dense that normal cores merge and no pairs survive. observable |
| Coherence length | Spatial extent of Cooper pair. Sets vortex core size. ξ = ℏv_F / (πΔ). | Extent of the shared counter-rotating vortex. Fast channel flow stretches it; strong binding tightens it. Sets Abrikosov vortex core diameter and determines type I vs II. core mechanism |
| Macroscopic coherence | All pairs share one wavefunction. Phase θ is macroscopically observable. Enables SQUIDs and quantum computing. | All pair vortices phase-lock — a Bose-Einstein condensate of synchronized counter-rotating seams. Phase θ = collective vortex oscillation. Phase gradients drive supercurrents. Nothing abstract — it is synchronized fluid dynamics. core mechanism prediction: phase is physical |