The concept of moving sideways in time, also known as "time travel perpendicular to the time axis," is an intriguing idea, but it is purely speculative and not supported by current scientific understanding.
In our everyday experience, time appears to move only in one direction, from past to future, and this is the arrow of time as perceived in the macroscopic world. According to the laws of physics, particularly the second law of thermodynamics, entropy (a measure of disorder) tends to increase in closed systems over time. This phenomenon is often used to explain the irreversibility of time's arrow.
While some theoretical models, such as certain interpretations of quantum mechanics or higher-dimensional physics, allow for the possibility of time loops or closed timelike curves, these ideas remain highly speculative and lack empirical evidence. Additionally, they often involve complex and hypothetical phenomena like wormholes or exotic matter with negative energy density.
At present, our understanding of time travel is limited to the realm of scientific fiction, where concepts like traveling to the past or future are explored. However, in terms of current scientific knowledge, time travel sideways or perpendicular to the time axis is not considered a feasible or well-supported concept.