Spontaneous loop supercurrents

This draft frames the loop Josephson circuit work as a mechanism-and-existence paper. Compact C3/C4 microscopic models identify the node/antinode selection rule and its C4 staggered-order obstruction; long, soft Josephson-island channels then produce the strict self-consistent winding-state result.

Mechanism

Molecules to islands

The overview schematic connects the C3 central-node rule, C4 staggered obstruction, split-screw selector, and long-soft island geometry.
Main result

Strict winding state

The promoted island point has a strict winding free-energy advantage with degenerate time-reversed partners and observable circulating current.

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