Tensor Space and the Causal Limit C: Toward a Dynamic Model of the Universe

This revised research collection presents a reconstructed theoretical framework for investigating whether gravity, time progression, light propagation, motion, and causal transmission can be understood as different manifestations of a common underlying structure of cosmic space. The central hypothesis proposes that space is not a structureless vacuum but possesses a fundamental tensor structure characterized by local tensor density (ρT), tensor pressure (PT), and a directional vector (VT). Within this framework, the speed of light C is interpreted as the upper limit of causal transmission, while variations in the proposed spatial structure are examined as possible mechanisms underlying gravitational effects, clock-rate differences, and electromagnetic propagation. The accompanying quantitative verification reports develop candidate mathematical relationships between tensor density, gravitational acceleration, and local clock progression. Calculations are extended from Earth's gravitational field to the solar gravitational field and compared with established relativistic results. Further investigations examine Shapiro time delay and gravitational light deflection, introducing a provisional optical contribution associated with tensor pressure and an effective coupling coefficient calibrated using Cassini observations. A separate series investigates the relationship between time, gravity, and velocity by expressing relativistic time dilation through an effective tensor-density representation. Comparisons include high-speed muons, airborne atomic clocks, optical-clock measurements, and GPS clock corrections. An additional theoretical examination considers whether increasing propagation distance could produce bidirectional redshift between observers with equal local clock rates, using an idealized Earth–Mars thought experiment. This revision also clarifies the relationship between the present framework and earlier studies of cosmic anisotropy, galactic rotation, redshift, and the physical interpretation of time. Previous proposals are retained, reinterpreted, or identified as requiring further examination according to their theoretical and observational status. The results establish a progressively developed phenomenological framework capable of representing several known gravitational and relativistic relationships. However, agreement obtained through equations derived from established physics or coefficients calibrated to existing observations does not constitute independent confirmation of tensor space as a physical entity. The fundamental dynamical equations, independent determination of tensor density and pressure, and distinctive observational predictions remain unresolved. The purpose of this revised collection is therefore to present the current theoretical structure, quantitative achievements, limitations, and criteria for future verification as a coherent foundation for further investigation. Status of Previous Versions Files 00E1–00E5 are retained as historical research materials documenting the earlier stages of this study. They illustrate the development of the original hypotheses and quantitative analyses that preceded the reconstruction of the present theoretical framework. These documents should not be interpreted as fully representing the current theoretical position. Some earlier assumptions have been revised, reinterpreted, or identified as requiring further verification. The current theoretical framework and its quantitative assessments are presented primarily in Files 00A–00D.