Analogy of Space-Time as an Elastic Medium–State of the Art and Perspectives on the Knowledge of Time

This paper explores a novel paradigm in theoretical physics: the analogy of space-time as a quantized elastic medium. Building on the foundations of Newtonian mechanics, Einstein's relativity, Hawking radiation, and continuum mechanics, we propose that time is not a primitive entity but an emergent phenomenon resulting from mechanical deformations within a structured vacuum. By modeling space-time as a deformable elastic fabric—termed "Elasther"—we demonstrate that gravitational effects, time dilation, and even dark energy and dark matter can be interpreted through elastic laws such as Hooke's law, thermal expansion. and creep. The analogy is supported by experimental validations (gravitational waves, Lense-Thirring effect, Shapiro delay) and offers predictive power for future observations, including complementary polarizations measurable by LISA. This unified framework suggests that time itself is a dynamic deformation propagating through a cosmic crystal, opening new perspectives on the nature of the vacuum and the structure of the universe.