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

by Thanasis Efthymiou (Author)

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.