Synchromodulametry: A Hardware-First, Metric-Aware Measurement Interface for Multimessenger Coherence
Thammarat Yawisit
TL;DR
Synchromodulametry addresses the challenge of maintaining coherence in multimessenger networks with non-ideal detector liveness. It introduces a hardware-first, metric-aware interface that yields an effective observable $\Psi_i^{\mathrm{eff}}(t)$ and a geometry-aware timing layer yielding $\tau_{ij}(g)$ and $\Delta\phi_{ij}(g)$. A real-time coherence functional $\mathcal{G}(t)=\ln \det(\mathbf{I}+\eta \mathbf{C}(t))$ provides a trigger-ready scalar and supports informational tomography via a 5D coherence coordinate. The framework demonstrates a path from digitized streams to coherence-state triggers, with an FPGA-friendly causal kernel and a White Rabbit-compatible timing pipeline. It is presented as a general-methods framework for multimessenger instrumentation, rather than a detector-specific performance study.
Abstract
We introduce Synchromodulametry, a hardware-first and metric-aware measurement interface intended to make coherence, rather than coincidence, a native object of multimessenger sensor networks. The framework is organized around two derived constructs: (i) an effective observable that restores continuity of information flow under non-ideal detector liveness, including deadtime, saturation, and veto conditions; and (ii) a metric-aware delay and phase alignment layer that treats timing as a geometry-modulated control variable rather than a flat-time nuisance. We present a derivation-complete pipeline from raw digitized streams to normalized observables, from liveness-aware gating to causal persistence kernels implementable in firmware, from proper-time and null propagation to latency corrections, and from cross-covariance structure to a log-determinant coherence functional suitable for real-time triggering and informational tomography. In contrast to coincidence-based pipelines that collapse timing into a binary window, Synchromodulametry exposes coherence as a continuous, hardware-native state variable that persists under detector liveness gaps and metric-modulated delays.