Base888 Quantum Geometry — Research Laboratory

FINITE QUANTUM SYSTEMS · RELATIONAL GEOMETRY · EFMW COMPARISON

When entanglement becomes geometry.

A reproducible experiment in which exact entangled-link states generate a candidate spatial metric. Compare ordinary unitary evolution with an explicitly hypothetical EFMW-inspired perturbation. Geometric emergence is not a derivation of Einstein gravity.

NO DEPENDENCIESLOCAL / OFFLINEREPRODUCIBLE SEED

Local dimension

888d

exact qudit Hilbert space

Quantum registers

triangulated graph sites

Entangled links

120

bond-pair quantum states

Mean mutual info

—bits

candidate network

Geometry shift

—

mean |Δ length| / ℓ₀

Reference quantum geometry

Unmodified pair Hamiltonians

BASELINE

⟨I(A:B)⟩— bits

EFMW-inspired candidate

Explicit perturbation κ · not derived

HYPOTHESIS

⟨I(A:B)⟩— bits

Difference / residual

Candidate minus reference

Δ OBSERVABLE

MAX |ΔI|— bits

Quantum correlation evolution

t = 0.00

Reference ⟨I⟩Candidate ⟨I⟩ |ΔI| × 3

Quantities are exact within the specified independent-link ansatz; the geometric mapping is a modeling choice.

888-level unitary register

X / Z quantum gates

Wavefunction norm²—

Basis Shannon entropy— bits

Occupied local levels≤ 64 / 888

Independent single-qudit circuit uses all 888 basis positions. The separate geometry network occupies at most 64 local levels; it does not explore the full many-body Hilbert space.

Geodesic measurement (graph shortest path)

click two nodes on a map

Selected endpointsnone → none

Reference path length—

Candidate path length—

Path shift Δ—

Graph-geodesic distances are finite combinatorial observables; they are not measured spacetime intervals.

EXPERIMENT PARAMETERS

Preparation protocol

Local state count d888

Candidate perturbation κ+0.80

Spatial perturbation width1.80

Base evolution frequency1.00×

Metric sensitivity0.110

EFMW monitor memory λ0.96

Monitor sensitivity β0.65

κ changes an explicitly chosen pairwise Hamiltonian coefficient. It is not a derived EFMW force law. C = e^−βM is an operational error-monitoring score, not quantum coherence.

LIVE VERIFICATION / ZOO

PASS means the displayed narrow numerical check succeeded, not that quantum gravity or EFMW has been empirically established.

EFMW monitor C—

RMS residual—

Largest |K/A| interior—

EXPORT & REPLICATION

Deterministic seed888

Experiment ready. Numerical claims are scoped to this finite quantum ansatz.

01 / What is quantum here?

Every graph link carries an exact normalized bipartite pure state, cos θ |00⟩ + sin θ |11⟩. Reduced density matrices yield the link mutual information I = 2H₂(cos²θ) without a many-body state-vector explosion.

02 / What is geometry here?

A stipulated monotone map turns mutual information into edge lengths. Triangle angles and interior angle defects produce a discrete curvature proxy. This mapping is not uniquely derived or experimentally validated.

03 / What remains unresolved?

No dynamical metric, graviton, diffeomorphism constraint, Einstein–Hilbert limit, Newtonian limit, or experimentally supported quantum-gravity prediction has been derived. EFMW is an independently testable hypothesis in this app.

BASE888 LAB 1.0.0 · UNITARY PAIR NETWORK + 888-LEVEL CIRCUIT · FINITE GRAPH / NATURALIZED NUMERICAL UNITS · ALL INTERACTIONS LOCAL TO THIS PAGE