Relational Coherence as a Scale-Agnostic Principle of Physical Experience: Double-Slit Interference, Sequential Stern–Gerlach Measurements, and Shadow Mass

This paper is archived as a speculative research work.Double-slit interference, sequential spin measurements, and gravitational response appear to require different mathematical descriptions: phase-sensitive amplitudes, quantum probabilities, and source-conditioned fields. We examine whether they can be understood through a common principle of relational coherence in Entanglement–Algebraic Spacetime (EAS), an abstract algebraic theory grounded in Scalar Field (SF) binary relationships. The certified EAS-SF-RC-T1R corollary requires qualified provenance for actual registered distinctions and preservation of established source records in their admitted presentations. We first reconstruct the experimentally observed double-slit behavior from an electron source, qualified aperture-conditioned relational paths, and a detector that registers one definite electron event. Its coherent relational comparisons then admit Fourier amplitudes and quantum probabilities. We compare projective and reversible sequential Stern–Gerlach arrangements under the certified spin-half correspondence. Finally, the Shadow Mass construction shows how conserved sources and differently correlated relational histories admit gravitational anisotropy representations over astronomical scales. The analysis identifies a scale-independent requirement on relational fidelity alongside scale-specific forms of physical registration. Within their stated correspondence hypotheses, wave amplitudes, spin probabilities, and gravitational covariances represent different consequences of qualified SF organization. This provides a physical interpretation of scale-incoherence as differences in scale-qualified access to relational distinctions, compatible with shared registered consequences mediated between physical organizations.