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The Block Universe Theory, also known as Eternalism, is a concept in physics that suggests that the past, present, and future coexist simultaneously. This is akin to viewing the universe like a block of ice with different events happening at various locations and times within. Each point in the block represents a specific point in space-time.

In this construct, the "flow of time" that we perceive from past, through present, to future is simply a result of our consciousness or subjective experience. In the block universe, everything is predetermined as every event from the past to the future already exists in the block.

As for its scientific grounding, it is strongly supported by Einstein's theory of relativity, which explains how space and time are intertwined into a single entity: space-time. Einstein's equations suggest a static universe, similar to a block, where all events coexist.

However, it does have some conflicts with quantum mechanics, another fundamental theory in physics. Quantum mechanics suggests the world is full of probabilities and uncertainties, and many interpretations hint towards an indeterminate future which does not align with the predetermined future of the block universe.

Currently, there's no agreement between quantum mechanics and general relativity (they work in their respective realms but fail to reconcile at the quantum gravity level), so the science is still unsettled. Some scientists believe efforts like string theory, quantum gravity, or the multiverse interpretation could converge these concepts, but a comprehensive 'Theory of Everything' still remains elusive.

The block universe theory is a fascinating concept, but it remains a philosophical and speculative interpretation of our understanding of space, time and the universe. As with many theories, further exploration, research, and technological advancements in related fields of study will progressively illuminate the science behind it. As of now, it's an open question, a paradox yet to be solved.