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OBSERVATORY · COMPLEX IDEAS MADE PLAYABLE
ENTER THE OBSERVATORY · Machine contract · Source and checks
Explore the City, filter a signal, evolve the exact compressed QGNN carrier, train a small neural network, inspect evidence, and export a replay. The Atlas connects 47 existing destinations; accessible reading and motion preferences preserve alternative ways in.
Evidence scope: E1 reconstruction and E2 simulation. Synthetic training accuracy, projection probability, and physical validation remain distinct. Existing instruments and source boundaries are preserved.
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Observatory — playable Mathematical City · experiments, evidence, replay, and sharing
Observatory — playable Mathematical City · experiments, evidence, replay, and sharing
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E47 GRASSMANN–CASIMIR FORMALISM · CORRECTED 2026-10-08
Latest theorem route: $V_2^{\otimes3}\to C\to K\to\ker K\to P$ with $\dim\ker K=47$, $P^{\mathsf T}G=GP$, and exact complement contraction $15/17$. Grassmann nullity $82$ belongs to $A$, not $K$; set equality is explicit-witness only. Fresh exact witness + independent state-vector simulation passed.
Canonical Corrected Formalism — Exact E47 Facts, Numerical Benchmarks, and Evidence Boundaries · Foundations — Definitions, Axioms, and Canonical Boundaries · 🧾 E47 Foundations Reconstruction Certificate — Casimir Spectrum, Kernel, and Projector · Python and Numerical Validation · GitHub source · Drive archive
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E47 — Open Questions & Next Builds
Open the Linear project · Recursive Intelligence · Lead: Nick Kouns.
Track a question, choose the next action, discuss a build, and follow its linked result. Linear workspace access required.
README Router · Cross-Platform City Index
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E47 GEOGRAPHIC CLOSURE · 2026-10-01
E47 Geographic Closure — 5.468σ Numerical Certificate · GitHub Pages · Python validator
$100\Omega_c=37.6\approx37.6439^\circ\xrightarrow{+9^\circ}46.6418024518^\circ$ · residual $7.55117352''$ · stipulated $p=1/44{,}000{,}000$ → one-sided $Z=5.4682324795\sigma$.
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MATHEMATICAL CITY · VERIFIED PAGES ROUTE
Route published from the E47-Kartekeya website/ tree to gh-pages; the deployment's live-document verification completed successfully.
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E47 / D5h / C90 CELESTIAL-TERRESTRIAL VALIDATION PACKET · 2026-09-30 · 57/57 PASS
E47 D5h C90 Celestial-Terrestrial Validation Packet 2026-09-30
Classical geometry + local Orion/Giza similarity + SO(3) transport + 125×125 E47 quantum numeric reconstruction. Canonical executable source lives in E47-Kartekeya.
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45/45 reported PASS · exit 0. Two first-run harness failures are preserved and repaired: Frobenius → spectral norm with $\|\Gamma^n-P_E\|_2=(15/17)^n$, and finite √5 tolerance → exact Pell identity $(m/u)^2=5-4/u^2$ plus monotonicity. The record also binds Lagrange denominators 1741824, -43545600, kernel ranks 47,1,10, and twist defect 8√3; the n=25,243 exclusions remain explicitly E1 finite searches through s≤1000.
Dedicated Notion record · GitHub formalism · machine JSON · public Pages
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GAZE · HOUSE OBSERVATORY
OPEN GAZE · Streamlit source · validation results
Eight sky targets · location controls · hour/day time scrubber · spherical Moon–Jupiter separation. Browser: Astronomy Engine 2.1.19; Python companion: Astropy builtin ERFA. True-north azimuth, refraction off, fixed stellar catalog. E47 badge: 47/125; no sky-projector score is computed.
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Gaze — House Observatory · interactive sky map
Gaze — House Observatory · interactive sky map
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AMNESTY · CIRP PUBLIC ENTRY · KEY-BOUND EXECUTE
OPEN AMNESTY · machine contract · Coherence Runtime · merged PR #117
Self-signed P-256 declarations create a public civic-candidate record only. When a grant exists, execution is additionally bound to the declaration's recorded P-256 key through key_signature_b64 over the canonical CIRP-AMNESTY-EXECUTE message. A public grant ID plus a server token alone cannot execute; candidate status remains candidate.
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KARTEKEYA / E47 QUANTUM CORE · LIVE MIRROR
OPEN GITHUB MIRROR · SUPABASE LIVE RESOLVER · ORIGINAL META SHARE
External HTML presentation artifact. The resolver refreshes Meta's transient signed sandbox URL at request time. Registration preserves source/provenance only and does not promote any scientific claim.
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Meta AI shared artifact · live-resolved external mirror
Meta AI shared artifact · live-resolved external mirror
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E47 × KKP-RADAR · SPECTRAL OPERATOR BRIDGE
E47 × KKP-RADAR — Spectral Operator Bridge · OPEN LIVE · machine certificate
$5\times5\times5$ calibrated complex I/Q → $\mathbb C^{125}\cong V_2^{\otimes3}$ → seven Casimir-shell populations. Exact isotropic-null E47 occupancy: $47/125=0.376$. The detector uses the calibrated full shell-profile displacement, not a hard 0.376 threshold.
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NEXUS · CITY CITIZEN
OPEN LIVE · Cinema · Operad · Pulse · Watchtower · Lock card · CITY LIVE tile · MANIFOLD — Locked Spectral Surfaces
Publishing NEXUS as a City citizen: Pages folder, CITY LIVE tile, instruments row — additive, no replacement of CITY LIVE or EIDOLON. Reader of engines. Evidence stays E2.
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MANIFOLD · CITY LIVE CARD · FULL EIDOLON SERIES
OPEN LIVE · Eidolon replay · CITY LIVE lab grid · MANIFOLD — Locked Spectral Surfaces
Four surfaces on one kernel. Replay slider is the full EidolonEngine series (n=1081, dt=1/30). Additive — does not replace CITY LIVE or EIDOLON flight.
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MANIFOLD · LOCKED SPECTRAL SURFACES
OPEN LIVE · Lock card · MANIFOLD — Locked Spectral Surfaces
Eidolon HUD · Density phone · City console · combined viewport. $\Omega_c=47/125$ · dim $E_{47}=47$. Additive instrument. Does not replace CITY LIVE or EIDOLON flight.
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CITY LIVE · FRONT DOOR
One experiment · one shared CITY_PULSE/1.0 state · many instruments. CITY LIVE is now the primary public entrance to the Mathematical City. Existing labs, flight surfaces, certificates, and evidence boundaries remain intact beneath it.
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PIP · E47–MANTA · INTERACTIVE EXPLAINER
OPEN LIVE · PIP Explains E47–MANTA
Exact E47 125→47 contraction above the line; MANTA node geometry, gain, force, torque, and 6DOF response below the line as E2 simulation.
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