Causal Frontier / simulated Bell experiment

Correlation is not a message.

Entangled observers can recover strong joint correlations after comparing records. Bob cannot learn Alice's freshly chosen basis from his own outcomes alone.

Ideal Bell-state model · No FTL experiment
01 / Quantum model

What Bob actually receives

One shared state

Take the Bell pair Φ+, distributed before Alice decides how to measure her half.

|Φ⁺⟩=|00⟩+|11⟩2

Joint correlations depend on which bases are later compared.

One unchanging local state

Without receiving Alice's measurement outcome, Bob has the same reduced density matrix.

ρB=TrA(ρAB)=𝕀2

The theoretical receiver-only probability is exactly 1/2 for either result.

02 / Monte Carlo

Try reading Alice's choice at Bob's station

Each trial assigns Alice a fresh random Z or X setting; Bob always measures Z. The settings are revealed only to group the experimental records afterward.

Diagnostic control

Prediction

50% / 50%

Bob's two outcomes remain equally likely, whatever basis Alice selected.

P(B=0|A:Z)=P(B=0|A:X)=12

Bob reports 0 | Alice Z

—

Bob reports 0 | Alice X

—

Setting information in Bob's record

—

Finite empirical mutual information can be slightly positive under a truly independent null. This is not a signalling detection.

Correlations after exchanging logs

MeasurementsAlice = Bob
Both Z—
Alice X, Bob Z—

The difference appears when two observers compare their records through an ordinary classical channel.

03 / Interpretation

A falsification control, not a space modem

Without a classical side channel, Bob's local statistics cannot reveal Alice's choice. The second mode deliberately overwrites some of Bob's simulated results using Alice's setting. It should create measurable dependence—but that dependence is an injected conventional leak, not entanglement communication.

The browser uses deterministic pseudorandom Monte Carlo samples of an ideal mathematical state. No photon is transmitted. No relativistically separated measurement is carried out.

In the original quantum teleportation proposal, transmitting an unknown state requires both previously shared entanglement and an additional classical communication step [1].

Derivation and reproduction protocol · Python experiment

Faster data encoding can reduce how long a packet takes to send. It does not move its first newly chosen bit outside the physical light cone.

Browser script and equations work offline. No external scripts or font requests. Input updates animate gently and respect reduced-motion preferences.

[1] Bennett et al., PRL 70, 1895 (1993)