Does time have a beginning? Yes, but also, conditionally, no. Our world most likely had a beginning, but before that, as it's commonly referred to, there was 'Nothing'. Logically considering, this 'Nothing' represents a physical reality that is finite in volume, within which time loses all meaning. This matter, though possessing the potential for evolution, doesn't yet have self-organizing properties. Its motionless state or simple, monotonous oscillations, regardless of duration, equate to absolute non-existence. Consequently, "meaningful" time commences with the emergence of "meaningful" movements of physical reality, or more precisely, when matter spontaneously acquires a self-organizing property. This property acts as the catalyst for the rise of complex phenomena.
Why does the world exist? It just does, without a cause. Could it not have existed? Yes. Could it have existed in a primitive form, such that intelligent beings never came to be? Yes. So why does it indeed possess the property of birthing intelligent worlds? It just does, on its own, an absolutely random property, without which neither we nor these questions would exist.
As an option, a model of the universe could be as follows: it has a beginning, preceded by the Era of Nothing, it emerged with the spontaneous appearance of self-organizing matter and has since evolved. Its structure is a Multiverse or a collection of Multiverses, and its properties enable it to continue to develop and exist eternally. Indeed, at present this assumption, as a comprehensive view on the world's boundaries, lacks a complete and adequate explanation, but as a hypothesis, it warrants recognition, which can be designated by the term "beternism", from the words "beginning" and "eternity".
The universe demonstrates striking mathematical elegance in wondrous equations, and the thought arises that even if there were no matter, these equations would still exist, as the ideal being, which means they have a purpose: the universe, with their help creates intelligent worlds. But the paradox is that if there were no matter, then there would be no such beauty — they only exist due to the presence of matter. The fact that they are so incredible — it's simply their property, and if they were not like this, there would be no us or these questions. They are, as they say in the language of science — supervenient phenomena, not miracles.
For those who wish to ponder the aimlessness of evolution and the probability of the extinction of all living things, modern popular science provides the opportunity to study the events of mass extinctions in the history of life on Earth and the deadly natural and cosmic phenomena.
Overall, science confirms the following assertions: humans aren't the only sentient entities in the Universe; the extinction of intelligent life is a natural, ordinary phenomenon; life on Earth might never have emerged and can vanish at any given moment. What's the conclusion? The Universe exists just because, without any inherent purpose. It is not designed for the emergence of intelligent beings. We are the result of a chaotic transformation of matter, and every day we advance in our understanding of the world and ourselves.