The emergence of punk rock and its evolution draw a parallel with the height of “the era of nihilism”, another name for post-modernism, and the beginning of “the era of melancholy” where we live now (Iwauchi Shotaro 2019). While the “nihilist” not only observes and experiences losing higher values, meaning, and meta-narrative, but also annihilates and negates them, the “melancholist”, who cannot even come up with a ‘great’ meaning or goal itself that has already collapsed, takes on a different sense of existence: “It’s not that I want to do something, but neither is it that I don’t want to do anything.” On the other hand, in the late 70’s, Christopher Lasch observed a new individualism of people “living for the moment” and “losing the sense of historical continuity”, due to disillusion with what had been presented in the political and social turmoil of the ‘60s and the economic crisis of the ‘70s, which I call “double break”, i.e., with the past and with the future. The music of the early American punk and hardcore embodies, I believe, such a consciousness that pervaded the whole society into the very short length of musical time with its unique vertical and horizontal structure, which is illustrated in this paper with some examples and their graphic presentations. Finally, if there is a recurring but hidden theme in the musical evolution of punk rock, would it be its allusion to the possibility that one can live beyond traditional, historical, and teleological time?