Informational Time Dilation on a Superconducting Quantum Processor: Schedule-Matched Evidence for Irreversibility-Controlled Clock Slowdown and a Candidate Microscopic Primitive for Emergent g00

Context: This manuscript provides the empirical hardware foundation for the Emergent Spacetime Geometry (ESG) and Directed Acyclic Graph Interpretation (DAGI) research programs at Whytics. It details the physical extraction of microscopic "informational time dilation" primitives from IBM superconducting qubits, which are subsequently used to parameterize macroscopic gravitational simulations (g₀₀).

Abstract: We report an empirical, hardware-defined informational time dilation effect on superconducting quantum processors (ibm_fez, ibm_marrakesh): when an operational quantum clock is locally coupled to irreversible record creation (mid-circuit measurement and reset), its inferred forward progress is drastically reduced relative to a strictly schedule-matched baseline. Conversely, applying a coherent quantum-eraser control at the exact same physical interaction depth successfully uncomputes the record, maintaining the clock near its unperturbed baseline.

We define a relative dilation factor D = N_eff / N by inverting a monotone baseline calibration curve. Across strictly schedule-matched sweeps, increasing the density of irreversible records yields a strong monotone decrease in clock progress down to D ≈ 0.2 – 0.3, whereas coherent erasure yields D ≈ 0.93. Rigorous multivariable model selection confirms this effect is governed by informational irreversibility rather than standard physical gate load. Information-aware predictors decisively outperform standard two-qubit crosstalk proxies by a massive margin (ΔBIC = 64.18).

Crucially, pilot light-cone (C1-LC) transport experiments reveal a conformal-metric refinement: we observe strong local clock dilation (D ≈ 0.384) while causal-cone transport velocities remain invariant within uncertainty (v_record / v_sham ≈ 1). This indicates that records renormalize proper time without shrinking null cones.

Furthermore, we document a severe spatial "split outcome" for remote backaction. A spatially separated k=1 clock remains completely isolated from a remote measurement (ΔD ≈ 0.0015), whereas a distributed k ≥ 3 GHZ coherence witness undergoes massive suppression (Δ_GHZ = −0.1569) that is heavily restored via coherent erasure (R_erase = 0.964). This falsifies a universal scalar mechanism for nonlocal clock slowdown, pointing instead to an observable-selective topological graph-cut.

Finally, we map these hardware-calibrated primitives to emergent gravity. The empirical Generalized Record-Rate (GRR) map (r → D) extracted here provides the foundational time-dilation primitive for Emergent Spacetime Geometry (ESG), defining the temporal metric component as g₀₀ ∝ −D². These strict hardware primitives successfully parameterize a 10,000-node classical DAG simulation, spontaneously generating localized macroscopic time-dilation wells that satisfy weak-field Einstein-Poisson closure diagnostics (median relative RMSE ≈ 0.0029).

Key Experimental Highlights:

• Irreversibility-Controlled Time: Empirically proves that local operational clock rates are fundamentally controlled by the density of irreversible record creation, rather than standard thermal/gate noise.

• The Quantum Eraser Switch: Demonstrates that clock slowdown is a programmable, informational graph-property; applying coherent erasure actively rewinds the thermodynamic boundary and restores normal clock rates.

• Invariant Light Cones: Empirically verifies a core requirement for emergent relativity: proper time dilates locally, but the maximum speed of causal transport remains invariant.

• Hardware "Split Outcome": Validates that remote measurement backaction is observable-selective, completely bypassing localized operational clocks while severely suppressing distributed synergistic entanglement.

• The Microscopic Engine for Gravity: Extracts the exact empirical transfer function needed to parameterize g₀₀, bridging noisy intermediate-scale quantum (NISQ) devices to macroscopic Einstein-Poisson gravitational simulations.