Can change occur 0-dimensionally?
Any change as typically understood happens through spacetime. Timeline is 1-dimensional. The first dimension has only two directions: forward & backward. Direction is relative: there needs to be at least two different directions to give it meaning. A dimension with what would be the quivalent of possessing only one direction has to be the zero-eth dimension. Change implies an initial state transitioning to a subsequent state. This is a 1-dimensional phenomenon. So "change" in 0 dimensions means a static {parallel | multiple} {initial state | potentialty}?

This question arose from thinking about spacial dimensions. Topological dimensions, like D³ manifold in which human perception resides, is said to have three directions, but these are the cartesian coordinate perpendicular axes, and since each direction is bivalent there are six "unique" directions (or whatever). But what if there was a domain in which each D³ axis had no negative magnitude, so there was only forward & right & up, meaning there are truly only three such directions?
Then I reduced it to D², so only directions in positive X and Y. Then reduced it to D¹, meaning only one direction. But it breaks down, since direction is inherently a 1-dimensional construct.
But what about D² and D³? Does any of this make sense? In a void, a direction is basically a relative construct, meaning what is "right" for P₁ might be "forward" for P₂, or something. So this domain wouldn't have directions, but something else; a 0-dimensional direction, since there is no reverse? It's impossible in our reality, but assuming this purely three-directional D³ domain existed in some reality, how would it work?

isotropy anisotropy, homogeneity.

Basically, this domain (D) has no reverse direction. Direciton is bivalent: there is forwards and backwards. In D there is only forwards. It works like the phenomenon of time: we say time is a direction, but (let's declare for the sake of argument) it can ever only move forward. We call it a direction because our "backward" in time is memory and history. So in that analogous sense, D would be like 3-dimensional time where there are no memories or history: there can only be forward in some combination of the three directions.

Time is anisotropic and irreversible. What is direction with such property?

Time is anisotropic and (allegedly) irreversible. This is essentially the property that I am applying to direction. This form of monovalent direction is what is inherent to the phenomenon of time, just like how 1-dimensionality is (according to my potentially flawed thinking) inherent to direction. But I asked if change can occur 0-dimensionally, and we concluded that it can not. Yet we also established that time follows this property of monovalent direction (let's call it MD). So then MD is not 0-dimensional. What is it?

A 1-dimension(1D)-al line has an arbitrary homogenously relative forward and backward: the other direction to whichever is the current outset (O). In a vacuum, whichever end of the direction is being faced can be switched to the opposite direction, with no consequence. Each infinitesimal (ε) advancement (+ε) in either bivalent direction creates the new O and can be backstepped (-ε) to previous O, creating a continuous reversible fixed line upon which a point can move either way.
My actual intent with MD is that for each +ε, the "previous O" does not exist because MD has no reverse, and -ε is not possible, but if it were possible it would not return to previous O and would instead functionally be the same as +ε in a different MD.
There exists transition along some determined/meaningful forward path (in a fundamental & abstract manner, regardless of physics and time), but only in one direction (+ε), as opposed to the possible two directions in 1D (+ε & -ε), because the action of progress (+ε) in MD annihilates the old O in favor of the new: the new line is the old line with its ε-traversed-length cut off. I guess it's ½D. This is the type of direction I am trying to find and define.
Clarification: Yes, there is a pre-existing line; No, the point and line are not one and the same; O is always the onset, the beginning of the line; Yes, the action +ε is the same as creating a new line that is "shorter" by the first ε. Traversing the line is the the same as feeding a strip of paper into a shredder, where the point of shredding is O.