Every claim, its computed status, and its receipts. Filter by status — the quarantine is not hidden; it is the front door.
| key | claim | domain | level | status | re-run |
|---|---|---|---|---|---|
| USR-2026-0050 | The vacuum of a free lattice scalar field carries entanglement entropy that scales with a region's boundary, not its volume: fitted 3D exponent 2.09±0.01 (area predicts 2, volume 3), 2D 1.05 (perimeter), 1D flat to 9 digits. Bekenstein–Hawking-like area scaling emerges from a bare field theory with no gravity input (Srednicki 1993, independently recomputed). reproduced ≠ discovered | Information | 3D exponent 2.09 (area = 2, volume = 3) — fit s.e. ±0.01, not an evidence σ | PROVISIONAL | 2026-07-26 |
| USR-2026-0051 | A globally static quantum state contains ordinary time evolution for internal observers: the solver-found null state of a clock+qubit constraint is stationary to machine precision (⟨H²⟩ ≈ 6×10⁻³⁰, global qubit maximally mixed), yet conditioned on the clock the qubit Rabi-oscillates at full amplitude, matching Schrödinger evolution to 4×10⁻¹⁶ (Page–Wootters 1983, recomputed). Time as clock–system entanglement in a toy model — not a claim about nature's time. reproduced ≠ discovered | Information | ⟨H²⟩ ≈ 6e-30 global · conditional evolution matches Schrödinger to 4e-16 | PROVISIONAL | 2026-07-26 |
| USR-2026-0052 | The first law of entanglement δS = δ⟨K_A⟩ holds in an interacting transverse-field Ising ground state: the ratio reaches 0.9945 at ε=10⁻³ and relative entropy is positive and quadratic (log-log slope 2.05). This is the identity from which linearized Einstein equations emerge in holographic derivations (Faulkner et al. 2013), verified exactly in a spin chain. reproduced ≠ discovered | Information | δS/δ⟨K⟩ → 0.9945 at ε=1e-3 · rel. entropy positive, quadratic (slope 2.05) | PROVISIONAL | 2026-07-26 |
| USR-2026-0053 | A polymer with zero energy in every configuration exerts a real tension matching T·dS/dx from pure state counting (Monte Carlo vs exact enumeration, max deviation 4.5×10⁻⁴). Verlinde's holographic-screen composition (Unruh temperature + N = Ac³/Għ bits + equipartition) returns Newton's F = GMm/r² to 2×10⁻¹⁶ — an algebraic identity given its assumptions, recorded as a consistency check, not evidence that nature's gravity is entropic. reproduced ≠ discovered | Information | entropic force real (4.5e-4 match) · Newton composition = algebraic identity, not evidence | PROVISIONAL | 2026-07-26 |
| USR-2026-0054 | In an exactly reversible HPP lattice gas (Loschmidt echo returns the initial state bit-for-bit), coarse-grained entropy rises in BOTH time directions away from a low-entropy initial state. The thermodynamic arrow of time lives in the boundary condition, not the dynamical laws (Boltzmann, demonstrated exactly). reproduced ≠ discovered | Information | arrow in the state, not the laws — echo bit-exact, entropy rises both ways | PROVISIONAL | 2026-07-26 |
| USR-2026-0055 | Space can be reconstructed from entanglement alone: fed only the mutual-information matrix of a 64-site oscillator ring (blindness proven by a permutation test), classical MDS recovers the ring at r = 0.995 against true geodesics with 93% of the spectrum in a single Fourier pair. Removing entanglement tears space by DISCONNECTION rather than distortion — surviving pairs keep r ≈ 0.99 while the graph shatters. reproduced ≠ discovered | Information | blind reconstruction r = 0.995; connectivity collapses 1.00 → 0 as entanglement is removed | PROVISIONAL | 2026-07-26 |
| USR-2026-0056 | The entanglement Hamiltonian of half the vacuum is a boost: at 200-digit precision the nearest-neighbour couplings ramp linearly with distance from the entangling cut (R² = 0.998–0.999), with the exact near-cut coupling t₁ = 3.141539 matching 2π/v_F to 1.7×10⁻⁵. The implied local temperature T(x) = 1/(2πx) is the Unruh effect on a lattice — and the T in Jacobson's Clausius relation. reproduced ≠ discovered | Information | boost linearity R² = 0.998–0.999 (200-digit); near-cut t₁ = π to 1.7e-5 | PROVISIONAL | 2026-07-26 |
| USR-2026-0057 | Entanglement counts degrees of freedom: fitting the Calabrese–Cardy law to block entropies alone recovers the central charge c = 0.500062 for the critical Ising chain (CFT value ½, converging to 0.500013 on inner windows) and c → 1 for the free boson as the regulator mass goes to zero. Two universality classes, both counted correctly from entanglement with no other input. reproduced ≠ discovered | Information | c = 0.500062 (Ising, CFT ½) and c → 1 (boson) — read off entanglement alone | PROVISIONAL | 2026-07-26 |
| USR-2026-0058 | The thermofield double behaves exactly as ER=EPR describes a two-sided black hole: one side alone is perfectly thermal (trace distance 2.7×10⁻¹⁵ from the Gibbs state), the two-sided correlations equal the imaginary-time bridge correlator to 3.3×10⁻¹⁶, entanglement falls monotonically with β (hotter = more bridge), and the cross-side commutator is exactly zero. reproduced ≠ discovered | Information | one side exactly thermal (2.7e-15); bridge identity to 3.3e-16; commutator exactly 0 | PROVISIONAL | 2026-07-26 |
| USR-2026-0059 | A region of empty space has no state of its own: an 8-site block of vacuum has nonzero entropy and is mixed (1 − Tr ρ² = 0.988) while the whole ring is pure, and its mutual information with the complement equals exactly twice its entropy — 100% of an empty region's entropy is correlation with the rest. Proving correlations never vanish at maximum separation required 120-digit arithmetic (3.68×10⁻⁵⁷). reproduced ≠ discovered | Information | I(A:Aᶜ) = 2·S(A) exactly — an empty region's entropy is 100% correlation | PROVISIONAL | 2026-07-26 |
| USR-2026-0060 | NEGATIVE RESULT bounding a popular claim: in a finite spin chain, operations confined to k sites reach exactly 4^k dimensions — the full local-algebra bound, versus only 2^k on an unentangled product state — but that is merely 0.1–1.6% of the full 2^N space. A small patch does NOT reach the whole space in finite dimensions; full cyclicity needs k = N/2, where float64 fails outright (3264 of 4096). reproduced ≠ discovered | Information | reach = 4^k exactly — only 0.1–1.6% of the full space (not the whole) | PROVISIONAL | 2026-07-26 |
| USR-2026-0061 | Entanglement transmits nothing: across 18 interventions on one half of a critical chain (Haar unitaries, projective measurements, non-unital channels, a hard reset) the other half's state is unchanged to 9×10⁻¹⁶, and its full eigenvalue spectrum moves by 4×10⁻¹⁶ — so every observable is unaffected, not merely the tabulated ones. Holevo information about which intervention was chosen is exactly zero against 4.25 bits of choice entropy at the source. reproduced ≠ discovered | Information | Holevo χ about the intervener's choice = 0 exactly (vs 4.25 bits at source) | PROVISIONAL | 2026-07-26 |
| USR-2026-0065 | Our own measured modular temperature drives the thermodynamic derivation of gravity: reading the boost from the full modular dispersion gives β(x) slope = 3.141533 with R² = 0.9999999995, matching 2π/v_F to 2×10⁻⁵, and the Clausius relation δQ/T = δS closes to 6.6×10⁻⁵ using that temperature — while the naive infinite-space formula is 150% wrong. Λ enters the derivation as an integration constant permitted by the Bianchi identity, not as a sum of zero-point energies. reproduced ≠ discovered | Information | β(x) matches 2π/v_F to 2e-5; Clausius closes to 6.6e-5 on the measured temperature | PROVISIONAL | 2026-07-26 |
| USR-2026-0070 | Discriminator audit of the emergent-gravity programme, applied to our own work: the thermodynamic-derivation wing has NO observational discriminator. Non-equilibrium Jacobson yields f(R), whose unscreened form is dead by 2.2×10⁴ in PPN γ (Cassini) and whose screened survivor reproduces ΛCDM for any f_R0 including zero. Logarithmic horizon-entropy corrections are 56–120 orders of magnitude too small at every accessible scale. Every zero-parameter holographic dark-energy member is dead. Ġ/G from G ∝ 1/N_horizon is dead by 293×. reproduced ≠ discovered | Information | NO discriminator in the wing we built; the one live prediction is systematics-limited | PROVISIONAL | 2026-07-26 |