3 shows, our attempted hyperslice would lead to a discontinuous notion of "time" due to the "jumps" in the integral curves (shown as a blue colored grid discontinuity). Alternatively, we could try to use a multivalued time.
In scenario 3, attempting a hyperslice might produce an inconsistent notion of "time," given the "jumps" in the integral curves (depicted as a blue grid discontinuity). As an alternative, we could explore using a multivalued time.