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Philipsmett
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How is the contact, or the interaction of electrons, if, according to Zeno's paradox, the distance between objects is divided into infinite points?
Do you want to say that electrons come into contact and do not need any discrete space?PeterDonis said:I don't understand what problem you think there is with treating spacetime as a continuum, which is basically what you are referring to. Quantum field theory, which is our best current theory describing the interactions of electrons and other particles, works perfectly fine with spacetime as a continuum.
Zeno didn't understand how a continuum works. We have learned a lot in the 2500 years since.
Philipsmett said:Do you want to say that electrons come into contact and do not need any discrete space?
But what QFT says about that?PeterDonis said:No, since that's not what quantum field theory says.
Philipsmett said:what QFT says about that?
Zeno's paradox is a philosophical thought experiment that questions the concept of motion. It suggests that if an object must always travel half the remaining distance to reach its destination, it can never actually reach its destination because there will always be an infinite number of halfway points to cover.
Zeno's paradox can be applied to the concept of touching because, according to the paradox, if an object must always travel half the remaining distance to touch another object, it can never actually touch it because there will always be an infinite number of halfway points to cover.
There is no definitive solution to Zeno's paradox, as it is a philosophical thought experiment. However, many philosophers and scientists have proposed different explanations and resolutions to the paradox, such as the concept of infinite divisibility of space and time.
Modern science explains Zeno's paradox through the concept of infinite divisibility of space and time. This means that space and time can be divided into infinitely small units, allowing an object to travel an infinite number of halfway points in a finite amount of time, ultimately allowing it to reach its destination.
Zeno's paradox has been a topic of discussion and debate in modern science, particularly in the fields of physics and mathematics. It has led to the development of new theories and concepts, such as the theory of relativity and the concept of infinity, and has challenged our understanding of motion and the nature of reality.