A universe where Zeno is right and the law of inertia still holds

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Discussion Overview

The discussion explores the implications of Zeno's paradox in a hypothetical universe where motion is constrained by the paradox yet still adheres to a law of inertia. Participants consider the feasibility of such a universe and its potential connections to concepts like quantum superposition.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant suggests that Zeno's paradox implies motion is impossible due to the need to complete infinitely many steps, and questions whether a universe could exist where this holds true while still allowing for inertia.
  • Another participant asserts a definitive "No" in response to the initial question, indicating disagreement with the premise.
  • A different participant reiterates Zeno's paradox and proposes that a fine-grained spacetime could resolve the paradox, similar to motion simulated on a computer screen, where movement occurs between discrete cells.
  • One participant raises a speculative question about the relationship between a universe where Zeno's paradox is true and quantum superposition.
  • A subsequent reply dismisses the earlier speculation, arguing that Zeno's argument is fundamentally flawed and cannot provide explanations for other phenomena, such as quantum superposition.

Areas of Agreement / Disagreement

Participants express disagreement regarding the validity of Zeno's paradox and its implications. There is no consensus on the hypothetical scenario proposed, and multiple competing views remain present throughout the discussion.

Contextual Notes

Some participants reference the continuity of space and time in Newtonian physics as a resolution to Zeno's paradox, while others suggest alternative models such as discrete spacetime. The discussion includes unresolved assumptions about the nature of motion and the validity of Zeno's arguments.

ahmadphy
Zeno’s paradox suggests motion is impossible due to the need to complete infinitely many steps. In Newtonian physics, this is resolved by assuming space and time are continuous, and motion follows smoothly by inertia.
But is it conceivable to imagine a hypothetical universe where space and time are structured (e.g.in a nonstandard way ) such that Zeno’s paradox holds literally yet objects still obey a law of inertia in some consistent form?
 
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No.
 
ahmadphy said:
Zeno’s paradox suggests motion is impossible due to the need to complete infinitely many steps. In Newtonian physics, this is resolved by assuming space and time are continuous, and motion follows smoothly by inertia.
Assuming some sort of fine-grained spacetime would also resolve the paradox. That's what happens with motion simulated on a computer screen. In fact, that's a clearer solution to the paradox as there comes a point where the object moves from one cell to the next. And the motion cannot be further subdivided.
 
Maybe I shouldn't ask this here but:
If we could imagine a universe where Zeno's paradox is literally true but inertia still holds, could that maybe explain the quantum superposition?
 
ahmadphy said:
If we could imagine a universe where Zeno's paradox is literally true but inertia still holds, could that maybe explain the quantum superposition?
No.
The posts above have already established that Zeno's argument is bogus (Zeno himself, of course, knew that it was bogus because of course motion is possible) whether spacetime is continuous or discrete, so this question is like asking "If 2+2=5 could that maybe explain why water is wet?"... No, a false statement can't explain anything.

And even if the argument were valid, quantum superposition isn't what you're thinking it is. If you aren't up for taking on a first-year QM textbook (several good recommendations in the textbooks section here) yo might try Giancarlo Girardi's book "Sneaking a look at god's cards".
 
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