What the variant adds
This version names an environment-to-pattern match, forward/optimization and reverse operators, and a risk-related gate. The inverse-derivative notation is a shorthand, not a unique reconstruction algorithm. The risk function and gate policy need explicit definitions before they can control a real tool.
Relationship to the combined model
The raw notes later combine these seven forms into R* and an extended Rhiannon object. They are retained as distinguishable source variants because tensor composition, additive physics notation, routing choices and compression shorthand are not mathematically interchangeable.
Equations in this build
5 linked mathematical records. Each opens its notation, interpretation and source.
MATHEMATICAL DEFINITIONS INSIDE THE NEURON MAP · M_{env}
The relation accumulates its integrand over the stated interval or closed loop. The result depends on the integrand, integration variable, limits and trajectory. In the archived…
3. Thor’s Hammer Version · \text{R}_2
The notes combine the named components with tensor-product or direct-sum-style notation. The expression records the proposed organization of the model. Concrete dimensions,…
3. Thor’s Hammer Version · M_{env}
The relation accumulates its integrand over the stated interval or closed loop. The result depends on the integrand, integration variable, limits and trajectory. In the archived…
Forward and reverse operator shorthand
Uses a derivative-like operator for optimization and an inverse-derivative notation for reverse engineering. These symbols do not uniquely define an inverse mapping:…
Minimum-risk safeguard shorthand
Names the minimum of a risk-cost quantity as Γ_safe. A risk function, decision domain and rule that converts the minimum into an action gate are needed before this notation can…