Can time be modeled by an asymptote?

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SUMMARY

This discussion explores the concept of modeling time as an asymptote, initiated by a high school student reflecting on their trigonometry class. The participant suggests that if time is infinite, it could be represented by a line approaching a point on a graph without ever reaching it. The conversation reveals a realization that modeling time may be simpler than initially thought, with a straight line potentially sufficing. The discussion also touches on the circular reasoning involved in defining motion and time.

PREREQUISITES
  • Understanding of asymptotes in mathematics
  • Basic knowledge of coordinate systems (x and y axes)
  • Familiarity with the concept of infinity in mathematical contexts
  • Introduction to philosophical implications of time and motion
NEXT STEPS
  • Research the mathematical properties of asymptotes and their applications
  • Explore philosophical theories on the nature of time
  • Study the implications of infinity in mathematics and physics
  • Investigate the relationship between motion and time in classical mechanics
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Students of mathematics and philosophy, educators discussing the nature of time, and anyone interested in the intersection of mathematics and theoretical physics.

Dkpalea
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Hello all! I'm new to this forum (and forums in general as this is my first) so please excuse my etiquette. When I was in my trig class (I'm a high schooler), we brushed up upon asymptotes, and it made me wonder: Can time be modeled by an asymptote? I like the idea of a line moving in a direction infinitely toward a point without ever reaching it. I related this to time. That is, if time never had a beginning nor will every have an end. If time could be modeled as an asymptote, what would the x and y-axis be labeled as, beginning and end of time? (Are there more dimensions? Z axis?). I can't really make sense of this, but I imagine that the line would represent the movement of time itself, moving infinitely in both directions? Has this already been done? Is time even real? Does this even make any sense?! Please enlighten me...
 
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Thinking of a moving along the curve that forms an asymptote, we would wouldn't be moving "toward a point". If our coordinate is (x,y), our y coordinate might be moving toward a point on the y-axis. But the (x,y) location isn't moving "toward a point". It's seems just a well to use a straight line to plot the time coordinate
 
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Hmmm, the answer was much simpler than I thought it would be... A simple line could describe it. I made it confusing for nothing. Thank you!
 
If we think of modeling time by something moving, this is a circular type of thinking because to have something moving presupposes you have the phenomena of time in order to have the motion.

A similar type of circular thinking plagues us when we try to model other basic phenomena - such as mass and probability. The "General DIscussions" section of the forum is the place to discuss such generalities. The physics sections are for specific questions.
 

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