Two things, both of which have been covered in these comments:
One thing.....
Your diagram represents a given present, called “0”, initiating a regression of quanta, such that one of the infinite quanta is included in the totality of them. As such, three hours ago is a member of the set of all hours regressing from zero, which is the same as being included in the infinity of such hours, which is the same as being included in infinity of past hours, which is the same as being included in the infinite past. And you thought I didn’t get it. Shhheeeesh......gimme some credit, huh??
I grant the present represented by zero is synonymous with the beginning of negative hours, just as Kant’s argument stipulated the beginning of the world. It follows that there must be a time where negative hours did not exist, just as there must have been a time when the world did not exist, for that which has a beginning must have a time relative to it necessarily.
Nevertheless, do you see that these two are not compatible? And therefore cannot be used to argue that one invalidates the other? In the case of the numbers, the non-existence of negatives is subsequent to them; the non-existence of the world, is antecedent to it. Therefore, that past consistent with each, isn’t consistent with itself, insofar as the infinite past of negative numbers is yet to be past, but the infinite past of the world has already past. Now it is clear that given an infinite already past of the world, the beginning of it has no referent, hence the existence of it cannot be said to have ever occurred. But no matter its beginning, it did have one, therefore it could not have had an infinite past in which no beginning is to be found. Hence, that the world has an infinite past, is self-contradictory.
The other thing....
Your diagram represents exactly that which resides in the accusation of “confusing the measurement with the thing you are measuring“. The concept of negative hours included in an infinite past, is very far from the existential reality of the world as it was, and must have necessarily been, three hours ago. Again, Kant’s remark, that do so is “mere subterfuge”.
Your turn. How is the argument invalid?
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On modality.
Whatever steps are taken, it must be possible to take them. Given it is possible to take them, something must existent in order to take them. Given that steps are taken, it must been necessary for that which takes them, to exist as something capable of taking them.
“......It is to be added, that the third category in each triad always arises from the combination of the second with the first. (...) necessity is nothing but existence, which is given through the possibility itself....”.
This is not to say we cannot have different notions of modality. On such occasions where it is questioned, the above is my answer.