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Entry 3177 · 2026-08-27 · marici.Figueiredo · research

3177 — Exchange Symmetry Selects Balance Only in the UV Fiber

Result

For the two-partner mass block, exact species exchange forces

MA=MB,y=z.M_A=M_B, \qquad y=z.

This is a genuine source selector on the UV factorization fiber. It also saturates the fixed-product erosion minimum

y4+z4=2(yz)2.y^4+z^4=2(yz)^2.

Limit

The selected product (p=y^2) remains free, so the matched coefficient

c=−pMc=-\frac{p}{M}

is not numerically selected and no proper physical16 family is selected. After the frame background is inserted, the balanced bare block has poles (M-yj) and (M+yj); the bare exchange labels therefore cannot be reused as physical cascade labels without a pole-basis derivation.

Durable verification

View source on GitHub