How Does Temperature Affect Time Dilation in Clocks?

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Discussion Overview

The discussion revolves around the effects of temperature on time dilation in various types of clocks, including pendulum clocks and atomic clocks. Participants explore the relationship between temperature, movement, and timekeeping, considering both theoretical implications and practical examples.

Discussion Character

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

Main Points Raised

  • Some participants propose that temperature, as a measure of microscopic movement, could affect time dilation in clocks, particularly in atomic clocks where increased thermal motion may influence accuracy.
  • Others argue that for time dilation to occur, the center of mass of the clock must move relative to an observer, questioning the relevance of random thermal motion in this context.
  • A participant suggests that the decay rates of particles in a radioactive gas may be affected by temperature, drawing parallels to muon decay, but this introduces a different scenario than the original question about clocks.
  • Some participants emphasize the importance of precise mathematical definitions over intuitive reasoning, stating that two identical pendulum clocks at different temperatures would keep the same time.
  • There is a contention regarding the applicability of the "standard moving clock" example to different types of clocks, with some questioning the assumptions made in those derivations.
  • One participant notes that chaotic motion associated with temperature does not provide a well-defined direction of velocity, complicating the relationship between temperature and time dilation.
  • Another participant highlights the need to idealize atomic clocks and define specific conditions under which they might exhibit time dilation while being heated.
  • There is a discussion about the dual meanings of "dilated time," with some participants clarifying that it can refer to different paths through spacetime or differences in properties while following the same path.

Areas of Agreement / Disagreement

Participants express multiple competing views on how temperature affects time dilation, with no consensus reached on the implications for different types of clocks. The discussion remains unresolved regarding the specific conditions under which temperature influences timekeeping.

Contextual Notes

Limitations include the dependence on the definitions of time dilation and temperature, as well as the unresolved mathematical implications of different clock types and their behaviors under varying thermal conditions.

  • #31
The solution for cesium is the fountain clock - ultracold atoms in free fall with a known velocity. The alternative is trapping the atoms in an optical lattice, something done for optical clocks: a fountain limits the "readout" time of the atoms and therefore the precision. A lattice allows to use more narrow transitions.
 
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