Pushing Field Theory: A Wave-Based Extension of the Standard Model
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Pushing Field Theory presents a structured vector-scalar effective field theory in which wave propagation, nonlinear localization, inertia, and emergent gravitational behavior arise from different dynamical regimes of a common underlying medium.
The framework is built upon two coupled fields: the Pushing Field (PF), a dynamical vector field, and the Kronos Field (KF), a regulating scalar field. Together, these fields define a unified PF-KF medium whose behavior changes across energy scales and excitation regimes. Within controlled low-energy limits, the theory reproduces Maxwell-like wave propagation, while nonlinear interactions generate localized finite-energy configurations resembling solitonic bound states. At macroscopic scales, collective organization of the medium gives rise to an effective gravitational sector with Newtonian and Yukawa-type behavior.
Rather than proposing a replacement for the Standard Model or General Relativity, this work develops Pushing Field Theory as an exploratory effective field theory (EFT) intended to investigate how multiple classes of physical phenomena may emerge from comparatively simple coupled field structures. The theory emphasizes regime dependence, scale separation, and nonlinear medium dynamics while remaining explicitly constrained by observational consistency and falsifiability.
The book develops the PF-KF framework systematically, including:
Extensive appendices provide detailed derivations, numerical methods, stability analysis, EFT structure, and constrained Hamiltonian formulations.
Written in the style of a modern theoretical physics monograph, Pushing Field Theory explores whether wave propagation, localization, gravity, and inertial response can be understood as interconnected manifestations of a deeper vector-scalar dynamical medium. The result is a mathematically structured and experimentally testable framework situated within the broader landscape of emergent and effective field theories.
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