From Exceptional Algebra to Laboratory Mass Reduction: A Unified Scalar-Field Framework for Gravitoelectric Inertial Suppression

This work presents a unified theoretical framework connecting structures from exceptional algebra to a laboratory-testable mechanism for transient inertial mass reduction. The construction proceeds through four linked layers: (i) identification of two scalar degrees of freedom—a longitudinal electromagnetic mode and a gravitational trace mode—within established field-theoretic formalisms; (ii) bilinear mixing of these scalars motivated by the cubic norm structure of the exceptional Jordan algebra; (iii) a quantum-field-theoretic description of macroscopic coherence leading to a sign reversal of effective coupling under specific phase conditions; and (iv) a first-principles derivation of gravitoelectric fields from oscillating mass currents in linearized general relativity, including coherent enhancement. The framework proposes that a macroscopic quantum object (MQO), formed by phase-locked nuclei in a driven condensed-matter system, can generate an enhanced gravitoelectric field proportional to the coherence number. Under specific conditions—particularly a π-phase offset of the coherent state relative to the vacuum or an equivalent nonlinear screening branch—the effective coupling between source and test mass may change sign, leading to a reduction in observed gravitational weight. A central result is a saturating mass-response relation linking the effective mass to the local gravitoelectric field. The coupling coefficient is fixed by geometric considerations associated with the E6/SO(10) × U(1) coset structure, rather than introduced phenomenologically. The framework is calibrated against previously reported anomalous measurements in superconducting systems and translated into experimentally accessible parameters. The work culminates in a single falsifiable prediction: a waveform-dependent transient weight reduction in a driven Mg–Bi–Ag quasicrystalline system, measurable using a precision analytical balance. A square-wave harmonic drive is predicted to produce a measurable effect, while a sinusoidal control at identical frequency and amplitude provides a null test. This document is intended as a complete theoretical proposal. Several components—particularly the identification of algebraic scalars with physical fields and the dynamics of coherence formation—are explicitly stated as hypotheses requiring further validation. The experimental prediction provides a direct path for confirmation or refutation.