Empirical Validation of Structured Space Theory (SST): Ripple Mechanics Across Gravitational, Quantum, and Cosmic Scales

This record publishes Version 2 of Empirical Validation of Structured Space Theory (SST): Ripple Mechanics Across Gravitational, Quantum, and Cosmic Scales. It updates the terminology and companion references of the previously published work Empirical Validation of Super-Space Theory to align with Structured Space Theory v3. The validation scope, overall structure, and principal empirical conclusions remain continuous, while the front matter, nomenclature, DOI metadata, companion-paper references, and selected reference entries have been revised for consistency with the SST v3 framework. Abstract We test the operational predictions of Structured Space Theory (SST)—a geometric-gravitonic framework linking graviton density (gD), frequency (gF), and lattice spacing (d)—against publicly available laboratory, orbital, and astrophysical datasets. We organize the evidence into three regimes: Classical (orbital dynamics, vertical gravitational redshift, gravitational-wave timing), Quantum (atomic-clock transitions, Casimir pressure, Josephson quantization), and Bridge observables spanning both domains (Michelson–Morley cavity anisotropy, multi-messenger/GRB–TeV dispersion, Earth-field profiling). Applying SST’s operational identities gF·d = c, d ∝ gD-1/3, and gF ∝ gD1/3 Marson 2026, SST v3; DOI: 10.5281/zenodo.18787608, we compute empirical bounds across gravitational redshift (optical clocks, tower tests), orbital timing (GPS/Galileo), precision short-range gravity (Casimir), lunar laser ranging, and multi-messenger propagation (GW170817, GRB/TeV flares). Within current precision and in weak-field, quasi-static conditions, all observables match their general-relativistic benchmarks (Δc/c ≤ 10⁻¹⁸; γ = 1 ± 2 × 10⁻⁵). These results indicate that SST’s lattice identities reproduce established behavior in the tested regime, providing a unified geometric substrate for frequency, spacing, and density through a single ripple law. Extended Abstract This paper presents the first comprehensive, data-driven validation of Structured Space Theory (SST), a geometric–gravitonic framework proposing that gravitational, quantum, and relativistic behaviors emerge from a unified lattice of gravitons. Building on the theoretical foundations developed in Structured Space Theory: A Geometric-Gravitonic Framework for Space Structure, Field Propagation, and Emergent Constants Marson 2026, SST v3, DOI: 10.5281/zenodo.18787608, this study translates SST’s operational identities gF·d = c, d ∝ gD-1/3, and gF ∝ gD1/3 into measurable quantities across independent experimental domains. Classical datasets (orbital dynamics, redshift towers, gravitational waves) are complemented by quantum-based observables — atomic-clock transitions, Casimir pressure, and Josephson quantization — ensuring that SST is empirically constrained across both classical and quantum regimes, and bridging them through cross-scale observables (Michelson–Morley cavity anisotropy, GRB dispersion, etc.). Using publicly available datasets, the analysis spans scales from laboratory gravimetry and optical-clock redshift tests to orbital timing (GPS/Galileo), precision Casimir and short-range gravity measurements, cavity anisotropy (modern Michelson–Morley), lunar laser ranging, and multi-messenger astronomy (GW170817/TeV-GRB dispersion). For each case, SST’s lattice-based relations are mapped to corresponding observables, yielding quantitative bounds on propagation, anisotropy, dispersion, and secular drift. All examined datasets converge within experimental uncertainty: clock-gradient and GPS timing agree at the 10⁻¹⁴–10⁻¹⁵ level; Shapiro delay and interplanetary ranging reproduce γ = 1 ± 2×10⁻⁵; cavity anisotropy constrains Δc⁄c ≤ 10⁻¹⁸; and gravitational-wave versus photon arrival (GW170817) confirms null speed mismatch (Δv/v ≤ 10⁻¹⁵). These results demonstrate that, in weak-field and quasi-static conditions, SST is observationally coextensive with general relativity and standard quantum benchmarks, while expressing both through a single geometric invariant coupling frequency, spacing, and density. Crucially, the convergence of these independent tests provides empirical support for SST’s claim that the Principle of Structural Dynamics is redefinable as a ripple-tension statement — “The cosmos doesn’t push or pull—it ripples.” Within tested regimes, a lattice ripple-mechanics substrate suffices to reproduce established observables without introducing additional forces or mediators beyond the graviton lattice identities. Because these relations arise from a 12-vertex tetrahedral–octahedral coordination, the cross-regime agreement also provides an indirect empirical validation of the lattice geometry itself (within the explored classes). By linking classical and quantum observables through one ripple-law substrate, this validation establishes a critical empirical pillar for SST as a candidate unifying theory of classical and quantum physics. It represents a significant step toward positioning SST as a viable Theory-of-Everything framework — one grounded in reproducible equivalence with high-precision data. Subsequent work will extend these tests to strong-field and quantum-limit regimes, develop explicit falsifiable coefficients, and present a comparative landscape of unification approaches. Marson M., Empirical Validation of Structured Space Theory (SST): Ripple Mechanics Across Gravitational, Quantum, and Cosmic Scales, Zenodo (2026). DOI: 10.5281/zenodo.19058049Supplement to Structured Space Theory v3, Zenodo (2026). DOI: 10.5281/zenodo.18787608 (formally linked via isSupplementTo in Related identifiers).