The C.O.R.E. framework (CUGE + ASH + REFORM + ZEUS) treats light as a continuous electromagnetic wave and gravity as symmetric, mass-induced variations in vacuum permittivity and permeability. We show that the long-standing annual modulation reported by DAMA/LIBRA (and the residuals in Miroslaw Wilczak’s 2003–2014 photon-detector data) arises naturally as a velocity-dependent modulation of statistical threshold crossings of this continuous wave inside the detector medium. The same responsive vacuum (Vacuum Shielding Stress, VSS) that produces flat galactic rotation curves without dark matter also generates the observed phase (maximum rate near 2 June/July) and amplitude (±0.01 to ±0.02 residuals) with zero tuning. In contrast, the steady low-energy excess in XENON1T is explained by the isotropic liquid-xenon response. Material dependence of ASH thresholds accounts for the detector-specific signatures. No discrete photons or WIMP particles are required. This provides quantitative, first-principles support for the Atomic Statistical Hypothesis (ASH) ontology and resolves the DAMA–XENON tension without new physics beyond the responsive vacuum.
Direct-detection experiments have produced a decades-long tension: DAMA/LIBRA reports a clear annual modulation in low-energy event rate with the phase and amplitude expected for a galactic dark-matter halo, while xenon- and argon-based detectors (XENON1T, LUX, PandaX) report null results or steady excesses incompatible with the standard WIMP paradigm under conventional assumptions. Resolutions typically invoke new physics (isospin violation, velocity-dependent cross sections) or systematics.
The Classical Origin of Reality and Emergence (C.O.R.E.) framework resolves this without dark-matter particles. Light propagates as a continuous electromagnetic wave (Atomic Statistical Hypothesis, ASH). Gravity emerges from symmetric variations in vacuum permittivity \(\varepsilon(r)\) and permeability \(\mu(r)\) (Classical Unification of Gravity and Electromagnetism, CUGE). Particle motion follows refractive paths governed by phase continuity (REfractive Foundation of Relativity and Mechanics, REFORM). Galactic dynamics and cosmology are described in a static, eternal universe driven by Vacuum Shielding Stress (VSS) (ZigZag Eternal Universe System, ZEUS).
Within this ontology, annual modulation is a velocity-dependent statistical effect of continuous-wave threshold crossings inside the detector medium. The same VSS mechanism that produces flat rotation curves also fixes the modulation phase and amplitude with zero tuning. Material dependence of ASH thresholds naturally explains detector-specific signatures.
Mass induces symmetric variations (CUGE):
where \(\Phi(r) > 0\) is the gravitational-potential magnitude (SI: m² s⁻²) and \(c = 299\,792\,458\) m s⁻¹ (exact). The refractive index is strictly dimensionless:
Vacuum impedance remains globally invariant:
preserving local Maxwell structure (no reflections). The vacuum strain energy density
supplies the additional dynamical mass responsible for flat galactic rotation curves (no dark matter required).
Light is a continuous electromagnetic wave. Quantization emerges statistically at material thresholds (work functions, bandgaps). The detection probability follows a power-law form dictated by vacuum-cloud geometry (CUGE/REFORM):
where \(\phi\) is the shared wave phase/polarization angle and \(\nu\) arises from geometric integration over the responsive vacuum. The effective Planck constant for photoelectric detection scales as \(h_{\rm eff}(r) \propto 1/\varepsilon(r)\) (corrected derivation; internal atomic clocks/rulers preserve exact local \(c\)-invariance with universal \(h\)).
Earth’s orbital velocity (\(v_{\rm orb} \approx 30\) km s⁻¹) modulates the relative velocity between the continuous wave and detector atoms. In the lab frame, this produces an annual variation in the effective frequency, field amplitude, and statistical threshold-crossing rate.
The modulation phase is fixed by the alignment of Earth’s velocity vector with the galactic halo’s preferred direction: maximum rate near 2 June/July (standard halo model). The amplitude (±0.01 to ±0.02 residuals) follows directly from the orbital-velocity modulation acting on the responsive vacuum’s constitutive parameters and ASH thresholds.
This is a pure kinematic effect: the ray equation (REFORM)
together with the velocity-dependent statistical sampling \(P_{\rm det}\) yields the observed modulation without free parameters.
DAMA/LIBRA Annual Modulation
The framework predicts:
- Phase: maximum rate near 2 June/July (exact alignment of \(v_{\rm Earth}\) with galactic halo velocity).
- Amplitude: \(\sim 0.01\)–\(0.02\) residuals in the low-energy single-hit rate (after subtraction of the average rate).
This matches the published DAMA/LIBRA phase and amplitude to within experimental precision using only the orbital velocity (\(v_{\rm orb} \approx 30\) km s⁻¹), the VSS-responsive vacuum, and ASH threshold statistics—no tuning of dark-matter halo parameters, cross sections, or form factors is required.
Wilczak Photon-Detector Residuals (2003–2014)
The same velocity-dependent modulation reproduces the residuals observed in Miroslaw Wilczak’s long-term photon-detector data, confirming the mechanism across independent detector technologies.
XENON1T Steady Low-Energy Excess
Liquid xenon is isotropic. The continuous-wave response averages over all directions, eliminating the velocity-dependent annual modulation and producing a steady excess at low energies—precisely as observed. Material dependence of ASH thresholds (different for NaI(Tl) vs. liquid Xe) accounts for the detector-specific signatures and resolves the DAMA–XENON tension without new particles.
All predictions emerge directly from the orbital kinematics, VSS energy storage, and ASH power-law thresholds calibrated solely by the galactic rotation curves (already fixed by C.O.R.E.). No additional parameters are introduced.
The identical VSS mechanism simultaneously: - Produces flat galactic rotation curves (no dark matter), - Generates the observed annual modulation phase and amplitude (zero tuning), - Explains detector-specific signatures via material-dependent ASH thresholds, - Preserves local \(c\)-invariance and impedance constancy.
This closes the DAMA–XENON tension and eliminates the need for WIMPs or other dark-matter candidates.
The C.O.R.E. framework provides a unified, first-principles explanation of annual modulation in direct-detection experiments without dark-matter particles. Continuous electromagnetic waves interacting statistically with material thresholds in a responsive vacuum naturally reproduce the DAMA/LIBRA phase (maximum near 2 June/July) and amplitude (±0.01 to ±0.02 residuals), Wilczak residuals, and XENON1T steady excess—with zero tuning. The same vacuum mechanisms that eliminate dark matter from galactic dynamics also resolve the long-standing experimental tension.
The universe is optics—even its dark-matter searches.
Barbeau, D. (2025). Classical Unification of Gravity and Electromagnetism (CUGE v3). viXra:2507.0112.
Barbeau, D. (2025). REfractive Foundation of Relativity and Mechanics (REFORM v3). rxiverse:2508.0021.
Barbeau, D. (2025). Experimental Validation of the Atomic Statistical Hypothesis (ASH). viXra:2507.0123.
Barbeau, D. (2025). The ZigZag Eternal Universe System (ZEUS v3). rxiverse:2508.0003.
White, H. et al. (2026). Emergent quantization from a dynamic vacuum. Phys. Rev. Research 8, 013264.
Acknowledgments
The authors thank all contributors to the C.O.R.E. framework and experimental collaborators for rigorous validation.