A Mechanistic Grand Unified Theory via Negative-Pulse Gravitons

A mechanistic framework is developed in which matter and the vacuum are represented by coupled quantum oscillatory degrees of freedom and interactions are mediated by propagating negative-pulse excitations. The construction begins with the Negative-Pulse Graviton (NPG) hypothesis for gravity and is progressively extended to a broader unification program. At the microscopic level, oscillators exchange directional impulse through absorption and re-emission processes. At the mesoscopic level, a conserved flux field is introduced and its hyperbolic transport dynamics are derived from a coupled-oscillator network. In the continuum limit the model produces scalar wave and Poisson-type equations; a tensor completion is then formulated in the language of a massless spin-2 field and compared with the weak-field structure of general relativity. The same oscillator-correlation language is subsequently explored as a common mechanistic substrate for London dispersion, van der Waals and Casimir interactions, electromagnetism, and candidate strong- and weak-interaction sectors. Quaternionic field notation is investigated as a compact representation of coupled scalar and vector components. The paper deliberately distinguishes established correspondence, model postulates, mathematical consequences, phenomenological hypotheses, and speculative unification. Several derivations inherited from the initial NPG formulation (Kantoci, 2026) are retained and critically qualified, including the proposed inverse-sixth microscopic scaling, the emergence of the inverse-square gravitational law, the relation between oscillator parameters and the gravitational constant, and the identification of the collective propagation speed with c. The resulting theory is presented as a falsifiable research program rather than as an established replacement for general relativity or the Standard Model. Observable constraints include equivalence-principle universality, preferred-frame effects, orbital dynamics, gravitational-wave speed and dispersion, re-emission anisotropy, and composition dependence. The purpose is to provide a complete mathematical and conceptual formulation of the NPG program in a form suitable for independent analysis, numerical testing, and experimental discrimination.