Quantized Spacetime and Zeno's Paradox: A Solution to the Arrow Paradox?

In summary, quantized spacetime is a theory that proposes space and time are made up of discrete units rather than being continuous. This concept is related to Zeno's Paradox and the Arrow Paradox, which are both resolved by understanding that motion occurs in quantized steps. While there is no direct evidence for quantized spacetime, it is supported by other scientific theories and ongoing research may provide further evidence in the future.
  • #1
Rodrigo Cesar
28
1
I was reading about zeno's paradox (arrow), Is it like Quantized Spacetime? that we just move from one 'NOW' to the next?
Does zeno paradox can be fully solved?
 
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  • #2
Zeno's paradox was fully resolved in the nineteenth century by some great mathematicians such as Weierstrass. Its got nothing to do with quantised space-time. Its got to do with the so called least upper bound axiom eg:
http://www.jirka.org/ra/realanal.pdf

Its the foundation of the area of math called analysis

Thanks
Bill
 
  • #3
Thanks =)
 

1. What is quantized spacetime?

Quantized spacetime is a theory that suggests that space and time are not continuous, but rather are made up of tiny, discrete units. This theory is based on the idea that at a very small scale, space and time behave more like a grid or lattice rather than a smooth, continuous fabric.

2. How does quantized spacetime relate to Zeno's Paradox?

Zeno's Paradox is a philosophical puzzle that questions the possibility of motion in a continuous world. With the concept of quantized spacetime, this paradox can be resolved by understanding that motion occurs in discrete, quantized steps rather than a continuous process.

3. What is Zeno's Arrow Paradox?

The Arrow Paradox is one of Zeno's famous paradoxes that raises the question of how an arrow can ever reach its target if it must first travel half the distance, then half the remaining distance, and so on. This paradox is based on the assumption of continuous space and time, and is resolved by the concept of quantized spacetime.

4. How does quantized spacetime provide a solution to the Arrow Paradox?

Quantized spacetime suggests that space and time are not continuous, but rather are made up of tiny, discrete units. This means that there is a minimum distance and time interval that can be traveled. With this understanding, the arrow would actually be moving in quantized steps, making it possible for it to reach its target.

5. Is there evidence to support the theory of quantized spacetime?

There is currently no direct evidence that proves the existence of quantized spacetime. However, this theory is supported by other scientific theories, such as quantum mechanics and general relativity, which also suggest that space and time may not be continuous. Additionally, ongoing research and studies in the field may provide further evidence in the future.

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