A trivial question about the space of Euclidean

  • Thread starter Shing
  • Start date
  • #1
144
1
Classical Mechanics define our space is [itex]E^3[/itex]
that's also assumed to be [itex]R^3[/itex]x [itex]R_t[/itex]
I just wondering what if [itex]Q^3[/itex]x [itex]Q_t[/itex]?
will it make any significant difference? will it cause any logical paradox?

thanks for reading!
 
Last edited:

Answers and Replies

  • #2
CompuChip
Science Advisor
Homework Helper
4,306
47
The first thing I wonder about is how a particle in one dimension will get from coordinate a to coordinate b. In my mind, it should always do so in a continuous fashion. But you suppose it would "hop" from one rational to the "next"? You would solve Newton's laws (like F = m x'') in an interval with "holes" (e.g. [itex][a, b] \cap \mathbb{Q}[/itex])?
 

Related Threads on A trivial question about the space of Euclidean

  • Last Post
Replies
2
Views
643
Replies
7
Views
875
  • Last Post
Replies
13
Views
3K
Replies
13
Views
935
Replies
1
Views
1K
Top