Velovity of a light beam in an arc

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Discussion Overview

The discussion revolves around the concept of the velocity of a light beam's spot as it moves along an arc, particularly in relation to the speed of light. Participants explore theoretical implications, practical examples, and the nature of the dot created by a laser or digital display.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant suggests that if a laser dot is moved quickly enough, it could appear to move faster than the speed of light, as the dot is not a physical object.
  • Another participant notes that the observed movement of the dot on a distant object would lag behind the beam due to the time it takes for light to travel, referencing historical methods of measuring light speed.
  • A different viewpoint mentions that virtual objects on a digital screen could also be perceived to move faster than light, though this is challenged by concerns about the limitations of screen refresh rates.
  • One participant elaborates on a thought experiment involving intersecting rods to illustrate how a point can appear to move faster than light, emphasizing that the dot has no mass.
  • Another comment highlights that while oscilloscopes can have writing speeds exceeding the speed of light, this only pertains to phase velocity, not information transmission.
  • It is mentioned that since the dot cannot carry information, it is not bound by the speed of light constraints.

Areas of Agreement / Disagreement

Participants express a range of views on the implications of moving a light dot and whether it can exceed the speed of light. There is no consensus on the interpretations of these phenomena, and multiple competing perspectives remain.

Contextual Notes

Some discussions involve assumptions about the nature of the dot and the limitations of physical systems like screens and oscilloscopes, which may affect the conclusions drawn.

hedhtr
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I was using a small penlight laser around the floor to have my cat chase the impossible dot. A though came that if I could move the dot fast enough from my porch , and with sufficient power, that at some distance along an arc the dot would move faster than the speed of light.

Any comments would be appreciated.
 
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That's entirely correct, and entirely unremarkable. The dot is not a physical object, so there's no reason to think it is limited to some maximum speed.
 
If you observe the movement of the spot on a distant object (say the surface of the Moon) it will appear to lag behind the 'beam' you are waving around. Imaging projecting a vertical slit of light from a revolving source (lighthouse style) onto a saucer shaped (shallow cone) ground. The shape of the line of light would have a curve to it because of the time taken for the beam to reach the further regions.
Of course, this is a very subtle effect. It was used, in essence, in some of the first attempts to measure the speed of light, using rotating mirrors. You need to rotate the mirror very fast and use a very long 'throw' for the beam to observe the effect.
The spot could, of course, be observed to move between two points on the Moon at faster than c because, as stated before, nothing with mass actually moves..
 
On a similar note, an "object" on a digital screen (video game etc.) could be made to move faster than light.
 
Being a bit pedantic, I think the rate of writing separate objects on a screen and the separation of them (particularly with a conventional CRT) would not allow even virtual speeds approaching c. We're talking milliseconds and cms, rather than microseconds and hundreds of metres.

edit - well, I guess a TV line interval is 64us, rather than 'milliseconds', but you're still pushing it.
 
hedhtr said:
I was using a small penlight laser around the floor to have my cat chase the impossible dot. A though came that if I could move the dot fast enough from my porch , and with sufficient power, that at some distance along an arc the dot would move faster than the speed of light.

Any comments would be appreciated.
Ok now what you thought is really good and appreciable my friend, but what i think is that the dot is actually not matter it is just a point which you see and since that dot has no matter associated with it, it is a doubtless thought that the point can move with a speed much larger than light.
You can understand it this way, first take a paper and pen and do what i say
Step1: Draw x and y axis
Step2: Now imagine a rod parallel to x-axis and one rod parallel to y axis, now draw them at any positions.
Step3: look at the intersection point of the two, and write down its coordinates(that is some (x,y))
Step4: Now imagine the rods to be moving with the speed of light, The x parallel rod in direction of y and vice versa
Step 5: Now look at the point of intersection, it is moving away from the origin with a speed larger than speed of light.
So it is possible for the dot to move with a speed larger than that of light as you saw in this case. But i appreciate your thought, keep Innovating and share with me
 
The best oscilliscopes certainly have a writing speed in excess of c but of course this is only phase velocity.
 
It's frequently expressed that no information can be transmitted faster than light. There is no way to encode a message into the intangible dot, so there is also no reason for it to be constrained as to speed.
 

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