The term "one-dimensional time" typically refers to the idea of time being a single linear dimension, similar to a line with no branching or alternative paths. In this concept, time would only flow in a single direction, and events would occur along this linear timeline.
However, in our current understanding of physics, time is considered a fundamental dimension but not necessarily limited to a single dimension. It is generally believed to be part of a four-dimensional framework, where three dimensions represent space (length, width, and height), and the fourth dimension is time. This four-dimensional framework is known as spacetime.
The notion of one-dimensional time is often explored in thought experiments or philosophical discussions, but it does not reflect the current scientific understanding of time. In our observed reality, time is experienced as a continuous progression of moments, and events are influenced by multiple factors, including spatial dimensions, energy, and interactions between particles.
As for proving the existence of one-dimensional time or experiencing it, it is not possible within our current scientific framework. Our experience and understanding of time are based on the observation of multiple events occurring in relation to each other and the perception of time passing. While we can measure and quantify time using various devices and methods, experiencing or proving the existence of a one-dimensional time concept is not currently within the realm of scientific possibility.