Instrumental Detection Limits and the Cosmological Constant Problem

Background: The 120-order discrepancy between quantum field theory (QFT)vacuum energy predictions (ρQFT ∼ 10113 J/m3) and cosmological observations(ρΛ ∼ 10−10 J/m3) remains unresolved. This hypothetical framework, groundedin holistic physics, proposes that this gap may partially reflect instrumental detec-tion bandwidth limitations rather than purely theoretical inconsistency.Methods: Detection efficiency is modeled as a wavelength-dependent trans-fer function T(λ), derived from electromagnetic coupling principles. A novel reso-nant coil geometry inspired by Walter Russell’s polarity dynamics is analyzed viaimpedance spectroscopy and numerical integration across 62 orders of magnitude(10−35 to 1027 m). This work extends a historical lineage (Tesla → Russell →present) of resonance-based approaches to fundamental phenomena.Results: Standard cosmological instruments (telescopes, CMB satellites) ex-hibit Tstandard(λ) peaked at λ ∼ 1026 m with exponential decay at quantum scales.The proposed Russell coil geometry shows TRussell(λ) with multi-octave resonances,theoretically enhancing sensitivity at intermediate scales (10−10 to 100 m) by factorsof 2.3–28× depending on quality factor Q (corrected baseline). Simulated vac-uum energy: ρstandard = 7.9 × 10−10 J/m3(1.32× ρΛ); ρRussell = 1.95 × 10−9 J/m3(3.25× ρΛ).Conclusions: While this mechanism cannot resolve the full discrepancy (grav-itational coupling remains unexplained), it offers testable predictions for differen-tial calorimetry (∆T ∼ 2.8 × 10−7 K) and modified Casimir force measurements(∆F ∼ 0.75%). The framework bridges philosophical concepts (Ś¯unyat¯a as rela-tional emptiness) with experimental physics through quantifiable transfer functions.This is a hypothetical theory without physical prototype; it invites study,application, and development via open protocols.Keywords: Cosmological constant · instrumental limitations · vacuum energy ·detection theory · resonant systems · transfer functions · relational ontology · holisticphysics · Tesla-Russell lineage