The Mathematical City · substrate-aware index
One object.
Many doors.
Choose what you want to do, not which service you happen to remember. This router maps the same research object across executable source, living context, corpus artifacts, registries and public exposition.
V₂⊗³ → C → K → E₄₇ → P₄₇ · Ωᶜ = 47/125 · Γ* = I − K²/99144
125carrier
47kernel
15/17contraction bound
E0 · E1exact + machine core
Route by intent
Search once or pick a lane. Keyboard: 1 Enter · 2 Understand · 3 Run · 4 Verify · 5 Browse · 6 Build.
Same City, different substrate
Each platform contributes a distinct capability. None is promoted into authority over the others.
Route packet
A route packet is one object exposed across multiple substrates without copying its epistemic role.
Machine doors
Agents and tools can skip the prose and open the manifests directly.