Infinite mass at speed of light?

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Discussion Overview

The discussion revolves around the concept of relativistic mass and its implications at the speed of light. Participants explore the mathematical formulation of relativistic mass, the Lorentz factor, and the physical interpretations of mass as objects approach light speed. The conversation touches on theoretical aspects and the historical context of the term "relativistic mass."

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • Some participants assert that the relativistic mass formula m=γm leads to an infinite mass at the speed of light, questioning the validity of this interpretation due to the undefined nature of the Lorentz factor at that speed.
  • Others argue that discussions about mass at the speed of light are meaningless, comparing them to hypothetical scenarios that lack physical relevance.
  • One participant provides an example illustrating how mass appears to increase as an object approaches 99% of the speed of light, emphasizing that mass does not change in the object's own reference frame.
  • Another participant notes that the term "relativistic mass" has fallen out of favor among professionals, suggesting that it has led to misunderstandings and erroneous conclusions about the nature of mass and acceleration.

Areas of Agreement / Disagreement

Participants express differing views on the relevance and interpretation of relativistic mass, with no consensus on the implications of mass at the speed of light. Some find the concept meaningful, while others dismiss it as nonsensical.

Contextual Notes

The discussion highlights the limitations of the relativistic mass concept and the potential for confusion in its application. There is an acknowledgment of the historical context and evolving terminology in the field of physics.

Antuanne
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The relativistic mass formula is m=γm, and at the speed of light, relativistic mass is infinity. But, the Lorentz factor at the speed of light is 1/0, but this is undefined, so why do physicists call this "infinity"?
 
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Antuanne said:
The relativistic mass formula is m=γm, and at the speed of light, relativistic mass is infinity. But, the Lorentz factor at the speed of light is 1/0, but this is undefined, so why do physicists call this "infinity"?

They don't, and you've been victimized by the pop-sci crowd looking for easy non-rigorous gee-whiz "explanations".

Around here, you're more likely to get responses saying that questions about the mass of an object traveling at the speed of light are meaningless, for roughly the same reason that questions about what would happen if pigs could fly are also meaningless.
 
So no mass can reach the speed of light and your Lorenz factor will never produce an infinitive number.
An example: when an observer A brings some mass M at 99% of c it's mass seems to be 7 times larger. (factor 0.7*√(c/c-v).
For another oserver B traveling along with M the mass does not change in his reference frame. So he pushes mass M again at 99 % of c.
Now to B mass M again seems 7 times larger, but to A it seems 70 times larger. (Also here mass is calculated as force/acceleration)
You can try to repeat this an infinite number of times. And every time the mass M seems to grow with a factor of 10 to the original observer. But you will never reach c.
Hope this is helpful.
 
Use of the term relativistic mass has fallen from favor among professionals. It was orginally used as a way to explain why a massive object could not be accelerated to the speed of light, but, had more confounding than explanatory power. It invited wildly erroneous conclusions - like an electron would become a black hole if sufficiently accelerated.
 

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