Jian Gao

Book-Balancing Magic Has Nowhere to Hide: Source-Native Accounting and Actual Continuation

We construct a whole-ledger continuation chain fulfilled by one actual source: an original residual in the complete future model generates the syntax and responsibility row of the next request; the source program executes and strictly pays the same debt; and its completion event...

1 Bit Is All You Need: The Weakest Superpower: No Unaccounted Differences

I made a bet with God: make the world as hard as you like, just don't skip out on the bill. The one bit of the title is a binary question: can an actual difference acquire actual standing without accounting for any structural provenance? We prove the answer is no, and make it pay...

The Current Takes the Stand: From Coupled Propagation to Actual Electrons, Coulomb Response, and Born Dressing

Starting from the original nine-field action of the common-source Spin×SU(7) theory, we connect coupled propagation to actual electron readouts, spatial Newton return, and Born dressing. The group structure, matter carrier, unique vacuum, and background constants of this theory a...

Two Minuses, One Plus, and a Bare Trace Under Oath: Ordered Closed Traces and Whole-Ball Response Curvature

With the identity matrix on the stand, the bare trace reports \(252\) and the originally normalized prepared state reports \(1\): the first evaluates the trace over the full matter carrier, the second the action within the fixed preparation. For the fixed \(S_{01}/dx^1\) external...