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

This study presents a fundamental reconstruction of the author’s previous investigations into cosmic directionality, gravity, electromagnetic propagation, redshift, and large-scale structure. Earlier work progressed from conceptual models to quantitative analyses, ultimately reaching a statistical investigation of quasar-jet directionality. However, further progress became difficult because of limitations in the quantity and precision of currently available observational data. This motivated a return to a more fundamental question: what underlying structure of space could commonly govern gravity, time, light propagation, motion, and causality?To address this question, the present study introduces a Tensor-Space framework characterized by tensor density ρT, tensor pressure PT, and directional vector VT. Light propagation is reconsidered as the propagation and establishment of causal relations through this space, with C representing the causal speed limit. The universe is consequently explored not as a completed static structure governed by a single absolute present, but as a dynamic causal network in which local states are continuously established and updated through finite-speed causal relations.Rather than discarding the previous quantitative investigations, this study restarts from a deeper structural foundation and seeks to reconnect those results within a unified framework. Future quantitative tests will examine gravitational time dilation, Shapiro delay, gravitational light deflection, velocity-dependent time dilation, redshift, galaxy dynamics, and large-scale cosmological observations.