Coulomb force over Rindler horizon

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Discussion Overview

The discussion revolves around the interaction of charged objects (balloons) in the context of Rindler horizons and accelerating frames of reference. Participants explore the implications of Coulomb forces between charged balloons when one is below the Rindler horizon of another, considering various scenarios involving acceleration and charge transfer.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants propose that a crew in an accelerating rocket cannot detect another rocket below their Rindler horizon, yet they can detect the Coulomb force between charged balloons.
  • Others argue that creating a charged balloon requires transferring charge from another source, such as a planet, and if this occurs beyond the Rindler horizon, it would not be detectable by the crew in the first rocket.
  • A participant suggests that the electric field from a charged balloon below the horizon would resemble a dipole field at large distances, which cannot extend past the Rindler horizon, while monopole fields could be detectable if there is a net charge.
  • Some participants question the feasibility of driving a rocket below another's Rindler horizon, suggesting that it may not be possible due to the nature of Rindler horizons as null surfaces.
  • There is a discussion about the perception of forces between charged objects from different frames of reference, particularly regarding the infinite time it takes for a charge to drop below the horizon from the perspective of an accelerating observer.
  • A hypothetical scenario is introduced where two rockets have always been accelerating and separated by a distance, with one always behind the Rindler horizon of the other, leading to debates about the visibility and detectability of charges between them.

Areas of Agreement / Disagreement

Participants express multiple competing views regarding the detectability of forces and charges across Rindler horizons, with no consensus reached on the implications of these scenarios.

Contextual Notes

Participants highlight limitations in their scenarios, such as assumptions about charge creation, the nature of Rindler horizons, and the effects of acceleration on the perception of forces. The discussion remains open-ended with unresolved mathematical and conceptual aspects.

  • #31
PeterDonis said:
No, their Rindler horizon is the two null lines X=TX=TX = T (the future horizon) and X=−TX=−TX = -T (the past horizon).

I would like do some clarification.
https://en.wikipedia.org/wiki/File:Rindler_chart.svg says horizons are half line starting from origin of the IFR. Rindler coordinate has nothing to do with other half part.

In the sense that
sweet springs said:
Events in #2 and #3 can effect on events in #3 Rindler area.
Events in #1 and #4 can not effect on events in #3 Rindler area.
not half lines but full lines of X=T,-T seem to have meanings in IFR. Is there definition on half or full ?
 
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  • #32
sweet springs said:
I would like do some clarification.

Wikipedia is not a valid source.

sweet springs said:
Is there definition half or full ?

Both meanings could be used; you have to determine which is intended from context.
 
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