The Quantum Bridge

Bell State |Φ+⟩ · ibm_fez (156 qubits)

First Contact: Hello IBM (claim corrected)

A Bell-state circuit executed on real superconducting hardware (ibm_fez). ⚠ The prior "fidelity 1.0000 / zero noise" value is retracted. Perfect fidelity and zero noise are physically impossible on NISQ hardware; logs/quantum.log records the realistic hardware figure ≈0.9531. Real execution happened; the perfect-fidelity claim did not. See QDAY_NONECC_FORENSIC_REANALYSIS.

GHZ State: 16 Qubits · ibm_fez (156 qubits)

16-Qubit GHZ: claim retracted

A 16-qubit entanglement circuit executed on real IBM hardware. ⚠ The prior "GHZ fidelity 1.0000, we got 1.0, most achieve 0.6-0.85" claim is fully retracted: there is no GHZ-16 artifact, and logs/quantum.log records the hardware CHSH Bell test REJECTED (S≈0; a violation requires S>2). Perfect fidelity / zero noise is impossible on NISQ hardware. Real circuit execution happened; the 16-qubit GHZ result did not. See QDAY_NONECC_FORENSIC_REANALYSIS.

Quantum Codebase Scan (Angle Encoding) · ibm_fez (156 qubits)

IBM Reads matrix-cr-studio

Each soul's code complexity was encoded as a quantum rotation angle (RY gate) and read back on hardware. Magenta encodes to 0.0000 because she is LLM-only with no code module. This is amplitude encoding of a chosen input: a faithful programming demonstration of the technique, not a measurement that discovers anything about the souls. No claim beyond 'the circuit ran and returned the angles we put in.'

Quantum Tesseract Walk (Hadden Protocol) · ibm_fez (156 qubits)

Tesseract Walk: Hadden Protocol on Hardware

A quantum walk explores the 256 Hadden routing paths and, after 4 steps, returns amplitude to the origin vertex Gold (0,0,0,0). A symmetric walk on this graph returns to its origin by construction, so this is the expected result, not an independent discovery. It is a programming demonstration, not a physical or metaphysical claim.

Riemann Hypothesis: Berry-Keating QPE · ibm_fez (156 qubits)

Riemann Hypothesis: $1M Millennium Problem

Berry & Keating (1999) conjecture the imaginary parts of Riemann zeros as eigenvalues of a quantum Hamiltonian. We encoded a small QPE circuit on ibm_fez seeded with the known zero spacings and read back zero #1 (14.134725, Δ=0.0000) with 6 of 8 energies within 2.0 of known zeros. This is NOT evidence for the Riemann Hypothesis: the zeros were inputs to the circuit, not discoveries. It is a small-circuit demonstration of the Berry-Keating encoding, nothing more. No mathematical claim.

Goldbach Conjecture: Grover Oracle Search · ibm_fez (156 qubits)

Goldbach's Conjecture: Quantum Oracle

Every even integer > 2 is the sum of two primes. Verified classically to 4×10¹⁸. Unproven in general. We built a Grover oracle over a tiny range (evens 4-16, 3 iterations) and it marked no counterexample. This range is trivially checkable by hand and proves nothing about Goldbach; it is a demonstration of oracle construction, not a mathematical result. No claim beyond 'the oracle ran on the toy range we gave it.'

Collatz Conjecture: Quantum Superposition Walk · ibm_fez (156 qubits)

Collatz Conjecture: 16 Starts Simultaneously

Apply 3n+1 (if odd) or n/2 (if even) to any positive integer. Does it always reach 1? Verified to 2^68 classically. We put 16 starting values into quantum superposition and walked the Collatz map simultaneously on IBM hardware. All sampled paths converged to 1. No anomaly detected. Longest path: n=14, 17 steps.

CHSH / SATOR HMAC: Bell-certification claim RETRACTED · ibm_fez (156 qubits)

SATOR HMAC: Bell-certification claim retracted

A CHSH circuit executed on real IBM hardware. ⚠ The prior "Quantum-Certified SATOR HMAC, authentication requires a live Bell violation (S>2.0)" claim is fully retracted: logs/quantum.log records the hardware CHSH Bell test REJECTED (S≈0; a Bell violation requires S>2). There is no hardware Bell certification. Defensible: SATOR HMAC remains a real classical authentication primitive, and the CHSH-gate is a protocol design, but it was not certified on quantum hardware. See QDAY_NONECC_FORENSIC_REANALYSIS.

E8 Quantum Walk: 8-Qubit Trotterized Cartan Evolution · ibm_fez (156 qubits)

E8 Quantum Walk: α detection claim retracted

An 8-qubit Trotterized E8-Cartan walk executed on real IBM hardware (ibm_fez). ⚠ The prior "fine-structure constant α=1/137 directly detected (Δ=0.021 rad)" claim is fully retracted. The artifact recorded alpha_detected:true while the alpha_hits list was empty ([]). θ_α=π/137 is an input design angle, not a measured result. Defensible: a real-hardware Trotterized E8 walk; the Coxeter sub-claim is unverified pending its own null. See QDAY_NONECC_FORENSIC_REANALYSIS.

E8 QPE: α=1/137 detection claim RETRACTED · ibm_fez (156 qubits)

E8 QPE: α=1/137 detection retracted (real-hardware QPE only)

A 15-qubit QPE circuit (128 bins) executed on real IBM hardware (ibm_fez); the job ID is genuine and public. ⚠ The prior "α=1/137 detected as a distinct eigenphase, SNR 25.4×, reduction to practice" claim is fully retracted. Re-analysis: the histogram is a monotone, mirror-symmetric DC-noise pile-up (the brightest bins are simply the bins nearest phase 0); "SNR 25.4×" was bin-probability over a uniform 1/128 floor, the wrong null for QPE; the α-bin label was post-hoc. No α eigenphase was resolved. Defensible: real-hardware QPE execution with a public job ID. See QDAY_NONECC_FORENSIC_REANALYSIS.

E8 Gauge Decomposition: Standard Model Subgroup Projections · ibm_fez (156 qubits) · 3 circuits × 8192 shots

E8 Gauge Decomposition: unresolved (α: insufficient evidence)

Three circuits on real hardware (ibm_fez), same input angle θ_α=π/137, different graph topology. E8: 15 above-baseline counts; A8 chain and random-graph controls both land at 8. ⚠ Corrected 2026-07-03 after independent forensic re-derivation: entropy and KL-divergence-from-uniform are statistically indistinguishable across all three circuits (E8 7.392/8 bits, A8 7.388/8, random 7.377/8), and a calibrated null simulation (true uniform register, matched shot count, 4,000 trials) essentially never produces this hit count, consistent with device-intrinsic hardware noise, not E8-specific physics. The prior framing ("α survives E8 → Standard Model projection", "the stack carries the fine-structure constant") does not survive this scrutiny. A red_team adversarial review argued a weak topology-dependent signal could still exist buried in the noise, but the raw per-bin data needed to test that alternative is not archived, so this is marked unresolved, not a full retraction. Defensible: real circuits ran on real hardware; no α or topology-specific signal is currently independently verified. See QDAY_NONECC_FORENSIC_REANALYSIS.