Lorentz Contraction: How Fast Can Objects Travel?

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Discussion Overview

The discussion revolves around the concept of Lorentz contraction, particularly in relation to the speed of objects and how this affects their measured size from different frames of reference. Participants explore theoretical implications and practical examples, such as the size of the Sun as observed from Earth.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant introduces Lorentz contraction, suggesting that objects decrease in size as they approach the speed of light, questioning if this applies to the Sun due to Earth's orbital speed.
  • Another participant clarifies that the size of a moving object, as measured by a stationary observer, is less than that measured by an observer moving with the object, providing an example of perceived flattening during relative motion.
  • A participant notes that the effect of Lorentz contraction on the Sun's size would be negligible due to its relatively low velocity of 30 km/sec compared to the speed of light.
  • There is a correction regarding the speed of Earth around the Sun, with one participant acknowledging an earlier mistake about the speed being one-tenth of the speed of light, clarifying it to be one ten-thousandth (0.0001).
  • Another participant discusses the nature of measurement in relation to Lorentz contraction, explaining that contraction is determined through simultaneous measurements in one's own frame of reference, which can differ for observers in relative motion.

Areas of Agreement / Disagreement

Participants express differing views on the implications of Lorentz contraction, particularly regarding its observable effects on the Sun and the nature of measurements. There is no consensus on the extent to which Lorentz contraction is relevant in this context.

Contextual Notes

Participants note that the effect of Lorentz contraction is minimal at the speeds involved in the Earth's orbit around the Sun, and there are discussions about the assumptions involved in measurements across different frames of reference.

ajay.05
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I just got to know about this concept, "Lorentz contraction". It says The size(measure) of objects decrease as we approach the speed of light(I think, I'm right!). If this is true, then the size of our sun should be slightly smaller, as the Earth races around the sun, at a speed of one-tenth of the speed of light. Am I correct in thinking so?
 
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In fact it is as follows: the size of moving object along it's trajectory measured by stationary observer is less than the size measured by co-moving observer. If I fly past you, I will seem somewhat "flattened" to you, but in my point of view I will be okay (more than that, it will be you, who will look like contracted to me).
As for the Sun, yes, it's "ecliptical" diameter (meaning the diameter parallel to ecliptic plane) measured by you will be less than any other diameter. Or, more precisely, would be, if not for centrifugal "bulges" on it's equator (which is almost parallel to ecliptic plane if I'm not mistaken).
However the effect will be too small, because the Sun's velocity relative to the Earth is only 30 km/sec, which is almost nothing compared to speed of light in vacuum.

ADD: not one-tenth, but one per ten thousands (0.0001)
 
Tajimura said:
ADD: not one-tenth, but one per ten thousands (0.0001)

Yup, I messed up!
 
Tajimura said:
In fact it is as follows: the size of moving object along it's trajectory measured by stationary observer is less than the size measured by co-moving observer. If I fly past you, I will seem somewhat "flattened" to you, but in my point of view I will be okay (more than that, it will be you, who will look like contracted to me).
As for the Sun, yes, it's "ecliptical" diameter (meaning the diameter parallel to ecliptic plane) measured by you will be less than any other diameter. Or, more precisely, would be, if not for centrifugal "bulges" on it's equator (which is almost parallel to ecliptic plane if I'm not mistaken).
However the effect will be too small, because the Sun's velocity relative to the Earth is only 30 km/sec, which is almost nothing compared to speed of light in vacuum.

ADD: not one-tenth, but one per ten thousands (0.0001)
Thank you.
 
Also, you don't "see" the contraction. You determine an object to be contracted once you put together data related to a measurement of the location of one end and measurement of the location of the other end that you determine to be simultaneous measurements in your own frame of reference. Someone moving with the object determines your measurements of the front and back ends to happen at different times, and this partially explains to him why you have the impression that the vehicle is contracted.
 

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