The claim
Simon’s criterion compares the size of interactions inside a group with the size of interactions across its edge. A metronome that a musician follows closely has a large coupling into the musician and none back. Group the two, and the block can be nearly decomposable from the room with a wide gap. The same holds for Adams & Aizawa’s nerve and muscle (LIT-455), their case of coupled but not part. CLAIM-157 then counts both as one system. The record’s entrainment claim (CLAIM-172) counts neither, because it requires each side to adjust the other. A pacemaker that “entrains the rest” is not thereby one with them (NOTE-414).
Why it was rejected
The owner asked: “and why shouldn’t they?” CLAIM-167 gives the answer:
- The criterion never claims parthood. It says nerve and muscle form a system, not that one is part of the other. CLAIM-172 had already used that move to sidestep the coupling-constitution objection.
- The intuitions were about agents. The sense that “they are not one system” was a sense that they are not one agent or self.
- Inside or input is a choice. Whether a one-way driver is inside the block or an input to it depends on the target.
The reply below, version 1’s, is the one this objection anticipated. It is kept as history. It would have excluded the dancing couple.
The reply version 1 anticipated
There is a direct reply, and it is not yet filed. Require the block to clear the threshold in both off-diagonal directions inside it: the musician must drive the metronome as well as the reverse. That imports entrainment’s mutuality as a condition on the matrix. It would make the criterion directional, and it would answer this case. Whether it over-excludes is untested. A notebook, a tool and a leader-follower pair are all asymmetric, and the owner’s dancing couple has a lead and a follow. Until a directional version is stated and tried on those cases, the objection stands.