Spatial Structure of Mass-Dependent Temporal Persistence Around a Spherical Object

We investigate the spatial structure of mass-dependent temporal persistence surrounding suspended metallic spheres under controlled laboratory conditions. Building upon previous observations of mass-dependent persistence enhancement, the present study examines how temporal persistence evolves as a function of radial distance from the sphere and whether the associated statistical organization remains localized or extends across larger spatial scales.

Using identical acquisition conditions and a common temporal cross-correlation (Xcorr) analysis framework, spatial persistence profiles were measured around hollow stainless-steel, solid stainless-steel, and tungsten spheres over extended radial ranges. Building upon previous observations obtained under shielded experimental conditions, the present measurements extend the analysis from near-sphere regions to larger laboratory-scale distances. Temporal persistence was quantified through correlation-based measures derived from time-resolved image sequences, allowing direct comparison of spatial organization and persistence behavior across different sphere masses.

The resulting persistence profiles reveal reproducible radial organization extending well beyond the immediate vicinity of the sphere. Similar temporal persistence structures remain observable throughout the investigated 10--90 cm range, with no clear cutoff identified within the present measurement domain. While the overall persistence behavior varies across sphere masses, higher-mass spheres generally exhibit stronger persistence signatures across the investigated range.

The observed behavior is characterized by extended temporal persistence rather than by direct evidence of optical propagation, coherent interference, or gravitational-wave detection. Instead, the measurements indicate the presence of weak but spatially distributed temporal organization embedded within an otherwise incoherent optical environment. The resulting radial structures exhibit qualitative similarities to extended delayed-response phenomena discussed in gravitational-wave tail theory, where scattering from slowly varying background potentials can produce extended delayed responses that remain detectable far from the source region.

This work therefore focuses on experimentally characterizing the spatial organization and mass dependence of temporal persistence around spherical objects. The results demonstrate that persistence structures can remain spatially extended over laboratory-scale distances while preserving measurable mass-dependent characteristics across the investigated range.