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OPEN LIVE INTERFACE

E47 Core is the holographic quantum terminal of ker K. Inject complement mass, fire P47, and watch K-error collapse in real time.

KERNEL · Does P47 suppress K-errors as they appear?

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E47 Core · holographic quantum terminal

E47 Core · holographic quantum terminal

Research mandate

E47 Core is the Mathematical City live holographic witness of the invariant sector. It is not a twelfth Octet packet stage. Kartekeya remains the executable E47 machine; this terminal is the real-time P47 / εK display that the laboratories interrogate.

Start here

  1. Confirm the Lock and Coherent lamps. Idle $F_{47}$ sits near 1 with a small noise floor on $V_\perp$.
  2. Press I inject (or key I). Complement occupancy rises; $\varepsilon_K$ and $\varepsilon_\perp$ jump; the 78 error nodes ignite.
  3. Press P project (or key P). P47 fires, complement mass goes to 0, $F_{47}\to 1$, $\varepsilon_K\to 0$. The suppression-scope marks the fire.
  4. Toggle L lock. With lock on, injected errors decay continuously through $K^\dagger K$. With lock off they persist until a hard P47.
  5. Drag the core to orbit. The occupancy strip is the 125-site carrier; the 47-mode spectrum splits $E_5$ / $\lambda_6$ / $\lambda_{30}$.

Controls and observables

Interface Available values
Commands I inject · P project · L lock · R reset · space pause/run
Lamps Lock · Noise · Coherent · P47
Readouts $F_{47}=|P_{47}\psi|^2$ · $\varepsilon_K=|K\psi|/\kappa_{\max}$ · $\varepsilon_\perp=|(I-P_{47})\psi|^2$ · IPR · $\Omega_c=47/125$
Displays Holographic core (47 kernel / 78 $K$-error channels) · 125 occupancy strip · 47-mode spectrum · suppression scope
Declared defaults Lock on · $\gamma=4.2$ · noise amplitude 0.028 · $\kappa_{\max}=756$ · tick $1/60$ s

Declared computational model

Hilbert space $\mathcal H=V_2^{\otimes 3}$, $\dim N=125$. Selector $K=(C-6I)(C-30I)$ annihilates $E_{47}$ and is invertible on $V_\perp$. $P_{47}$ is the orthogonal projector onto $\ker K$. Metrics:

$$ F_{47}=\|P_{47}\psi\|^2,\qquad \varepsilon_K=\|K\psi\|/\kappa_{\max},\qquad \varepsilon_\perp=\|(I-P_{47})\psi\|^2,\qquad \Omega_c=47/125. $$

Hard P47 zeros every complement amplitude and renormalizes. Continuous lock applies the exponential $K^\dagger K$ damping on $V_\perp$ only. Intra-kernel hopping on the $E_5$ ring and the remaining 42 kernel modes keeps $E_{47}$ invariant while the 47-bar breathes.

Evidence class: E2 simulation. This page records a declared real-time visualization of the finite E47 algebra. It is not a hardware QPU, not an E0 theorem plate, and not an E1 dense-float64 reconstruction certificate. Exact kernel isolation remains the certified finite core; this terminal is the typed live witness.

System role

E47 Core sits beside Kartekeya as infrastructure. SPECTRA names the structure; SOAR restores a selected sector; SCALAR lifts the algebra into field form; The Cube teaches the 125-site carrier. This terminal shows the same selector acting in time: inject, lock, project.