calculations: gradient of actuality (entropy as engine), registered relationships vs declared scalars - c done properly

docs/architecture/CALCULATIONS.md

@@ -167,3 +167,45 @@ kind of composition recipes, and new ones get composed from old ones.
 
 See `THOUGHT-OPERATIONS.md` for the full catalog: inputs, process,
 output, and validation per operation.
+
+## 16. Gradient of actuality — entropy as engine
+
+*(stage: fiction→fact boundary — mathematically alive, physically unproven.
+Logged honestly per Law 40.)*
+
+The universe pulls apart; structure rides the pull. Three linked readings:
+
+    entropic_force(x)  = ∇S(x) · T          # Verlinde-style: force from
+                                            # information gradients
+    dark_energy        ≈ the cosmic pull-apart, modeled as the universe
+                         maximizing its entropy PRODUCTION RATE rather than
+                         carrying mysterious substance
+    harnessable_work   = anything flowing DOWN a gradient:
+                         cells, stars, minds — all ∇S engines already running
+
+Life's whole trick, stated as math: pay entropy somewhere you aren't,
+collect order where you are. Minds are the most aggressive ∇S engines
+found so far. Neuron extends the pattern: understanding accumulates
+faster than noise destroys it.
+
+## 17. Registered relationships vs declared scalars
+
+Example — the speed of light:
+
+    space.time-exchange-rate = 1        # massless things propagate at
+                                        # slope 1 through spacetime;
+                                        # mass IS energy; no digits needed
+
+The famous "299,792,458 m/s" is a **declared scalar**: a rounded 1975
+measurement (±1.2 m/s) promoted to exactness in 1983 by redefining the
+meter around it. Unit bookkeeping, not nature speaking.
+
+Taxonomy test (the alien check):
+    dimensionless ratios (π, e, α≈1/137.036…) → irrational, universal,
+                                                identical for all observers
+    dimensionful scalars (c in m/s, G)         → local exchange rates,
+                                                exact only when defined so
+
+In this system: relationships get registered (three names, full sentence);
+scalars appear only when someone bolts a ruler on and quotes the
+conversion factor. Law 39 holds in physics too.