Is a line observable(in real life)?

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Discussion Overview

The discussion revolves around the observability of a line, defined as having thickness only in one dimension, in real life. Participants explore the implications of geometric abstraction, the nature of observation, and the criteria for what constitutes an observable entity, particularly at the micro level.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Exploratory

Main Points Raised

  • One participant questions whether a line can be observed in reality, given that even atoms possess thickness.
  • Another participant expresses disbelief in the possibility of observing a true line.
  • A different viewpoint suggests that while a line with zero thickness can conceptually exist, achieving uniformity or perfection in observation is problematic.
  • One participant asserts that all geometric shapes are abstract and cannot be perfectly observed in reality.
  • A further contribution challenges the criteria for observation, proposing that if we can observe electrons through their interactions, similar criteria could apply to observing one-dimensional objects and their behaviors.
  • The concept of quantum wires and Luttinger liquid behavior is introduced as a potential example of one-dimensional confinement and its observable effects.

Areas of Agreement / Disagreement

Participants exhibit disagreement regarding the observability of a line, with multiple competing views on the criteria for observation and the nature of geometric abstraction. The discussion remains unresolved.

Contextual Notes

The discussion highlights limitations in defining "observation" and the dependence on criteria such as uniformity and perfection. There are unresolved assumptions regarding the nature of dimensionality and its implications for physical observation.

Who May Find This Useful

This discussion may be of interest to those exploring concepts in geometry, quantum physics, and the philosophy of science, particularly regarding the nature of observation and abstraction in physical theories.

hackhard
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can a line (thickness only in 1 dimension ) be observed in real life ?
since ,at micro level , even atoms have thickness,
is it even possible to really construct a line or point or plane in reality?
 
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I don't believe so.
 
If thickness is your only concern, sure, you can have a 0 thickness line or plane in real life. Consider the top surface of a box.

But if uniformity/perfection is also a criteria, we're back to no.
 
All geometry is abstract, you'll never observe a perfect sphere, cube, line...
 
hackhard said:
can a line (thickness only in 1 dimension ) be observed in real life ?
since ,at micro level , even atoms have thickness,
is it even possible to really construct a line or point or plane in reality?

The problem here is your criteria of to "be observed". What does that mean? To observe with your eyes?

We "observe" electron via how it interacts and affect others. So, does this qualify for electrons to be "observed in real life"? Does anyone question the validity of the existence of electrons?

If we consider that we can observe electrons with such criteria, then we should also apply that same criteria in observing 1-dimensionality. In other words, what would happen IF there is such a thing as a 1-dimensional object, and how would something (particles) being confined in such a 1D space behave? Because if we know how they would behave, and we detect such behavior, would this not constitute an "observation in real life" of 1D confinement?

So, quantum wires and Luttinger liquid behavior, anyone?

Zz.
 
thanx for help
 

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