Flat Spacetime Gravity (FSG): An Alternative Theory of Gravitation

Flat Spacetime Gravity (FSG)

An Alternative Theory of Gravitation

This book presents a comprehensive field-theoretic reformulation of gravitational dynamics entirely within flat Minkowski spacetime, without invoking spacetime curvature or a dynamical metric. The framework developed herein-referred to as Flat Spacetime Gravity (FSG)-constructs gravitation as a relativistic interaction mediated by antisymmetric tensor fields and velocity-dependent couplings, fully consistent with Lorentz covariance and classical field theory.

Beginning with the kinematical structure of four-velocity fields and rotational bivectors, the theory introduces a natural decomposition into orbital and Fermi components, allowing a transparent separation of spatial dynamics from mixed space-time coupling effects. A Maxwell-type gravitational field formulation emerges, based on scalar and vector gravitational potentials generating sourceful and rotational field components.

The work develops:

• • A complete Lagrangian and Hamiltonian formulation of gravitational dynamics in flat spacetime.
  • Canonical equations of motion and conserved quantities.
  • Semiclassical WKB analysis leading to a de Broglie-type wave description for matter interacting with the gravitational field.
  • Modified orbital dynamics accounting for relativistic corrections to planetary motion.
  • A purely orbital explanation of light deflection without the use of spacetime curvature.
  • A consistent flat-spacetime treatment of gravitational redshift and time delay effects.
  • A dynamical cosmological sector in which large-scale expansion, effective Hubble flow, and redshift emerge from the evolution of the gravitational time-rate factor .

Throughout the text, all derivations are presented explicitly within a unified mathematical structure grounded in classical relativistic field theory. No geometric modification of spacetime is assumed or required at any stage; all observed gravitational phenomena addressed arise as consequences of flat-spacetime dynamics alone.

This monograph is intended for graduate students, researchers, and scientifically trained readers with interests in gravitation theory, field theory, and the conceptual foundations of physics. It offers a rigorous alternative perspective on gravitational interaction, complementing traditional geometric approaches with a fully covariant, dynamical field framework.

THANASIS EFTHYMIOU studied Physics at the University of Athens and pursued postgraduate studies in Control Theory. As a researcher, he focuses on the application of rigorous analytical methods and logical structures across diverse fields of human knowledge.His interdisciplinary research spans from Theoretical Physics, Logic Theory and Number Theory to Ancient Religions and Greek Mythology. His approach seeks to uncover the underlying patterns and logical consistency in both the physical world and the evolution of human thought and tradition.