The idea of time having mass is an intriguing concept, but it does not align with our current understanding of physics and the theory of relativity. In Einstein's special theory of relativity, time is treated as a dimension alongside space, forming a four-dimensional spacetime.
According to special relativity, massless particles like photons travel at the speed of light, while particles with mass cannot reach or exceed the speed of light. Time, as we experience it, is intricately tied to the fabric of spacetime. It flows at a constant rate for all observers moving at a constant velocity relative to each other.
If time were to possess mass, it would introduce significant complications and contradict the fundamental principles of special relativity. The theory's predictions and observations, such as time dilation and the invariance of the speed of light, would no longer hold true if time had mass.
That said, it's worth noting that our understanding of the universe is continually evolving. New scientific discoveries and theoretical advancements may reshape our knowledge in the future. However, as of now, the concept of time having mass would require a substantial revision of our current understanding of physics, including special relativity.