Working research monograph
Bind Projection, Microscopic Relaxation, and the Scale Obstruction
September 5, 2026
Status: Channel-first reformulation
By Joshua Johosky
Research summary
Develops the channel-first GOI formulation, the Choi-Effros distinction, protected-subsystem examples, stationary-semigroup decomposition, multiple relaxation clocks, and a scale-rescaling obstruction.
Claim boundary
The mathematical constructions do not by themselves select a unique physical microscopic law or establish completed gravity. Later volumes advance and supersede parts of the original next-gate language.
The monograph replaces an overly rigid projection picture with a channel-first treatment. It distinguishes fixed points as an operator system from an assumed ambient algebra and uses protected-subsystem constructions to isolate what can survive a noisy or relaxing dynamics.
A central negative result is the scale obstruction. Dimensionless bind kinematics can persist under rescaling, so a physical microscopic scale cannot simply be read off from the abstract channel structure without additional physical input.
Research themes
GOI · quantum channels · operator systems · relaxation · scale