To Kill Three Stones with Six Birds: A Common Grammar for the SM, QM, and GR

In plain words

The six primitives are applied to two very different questions. First: which particle theories can even be built if you follow the grammar? Out of 1,066 candidate gauge structures a thin family survives. Under stated assumptions a classic number, the weak mixing angle of 3/8, falls out.

Second: is gravity a limit of quantum theory? On the paper's carrier, neither description is a quotient of the other. They fork from a common parent instead. A finite version of that parent is built, and a min cut identity for area is checked with shadow prices.

Version 1 advertised three physical predictions. A long verification pass found none of them was forced by the machinery. Version 2 retracts them and replaces them with three named construction programs.

What it shows

• A branch typed selection of gauge structure inside declared caps.
• An exact incomparability theorem for the quantum and gravitational partitions.
• Three open construction programs, with the missing object written down for each.

What it does not claim

It derives no measured constant and does not solve quantum gravity. Recurrence across domains is treated as evidence about method, not about nature.

Cite

Tsiokos, I. (2026). To Kill Three Stones with Six Birds: A Common Grammar for the SM, QM, and GR. Zenodo. https://doi.org/10.5281/zenodo.22210962