Does an Electron Affect Space-Time? Quantum Uncertainty Explored

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Discussion Overview

The discussion explores whether an electron has enough mass to affect the fabric of space-time, particularly in relation to frame dragging and the implications of quantum uncertainty. Participants consider both special relativity (SR) and general relativity (GR) in their arguments, examining the potential for indirect measurements of an electron's properties through relativistic effects.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification
  • Mathematical reasoning

Main Points Raised

  • One participant questions if an electron's mass is sufficient to influence space-time, suggesting it could produce frame dragging.
  • Another participant proposes using special relativity to address quantum uncertainty by resolving simultaneity differences between frames to determine position and momentum simultaneously.
  • A claim is made that quantum spin implies electrons occupy physical space, challenging the notion of them being point particles and suggesting a limit to their influence on space-time based on their separation.
  • Concerns are raised about the implications of treating electrons as point particles, which could lead to infinite energy and discontinuities in space-time.
  • One participant expresses uncertainty about the validity of using special relativity to overcome the uncertainty principle.
  • A later reply mentions that standard quantum mechanics treats the self-energy of a point electron as infinite but unobservable, while string theory posits a minimum size for particles.

Areas of Agreement / Disagreement

Participants express differing views on the validity of using special relativity to address quantum uncertainty, with some supporting the idea and others challenging it. The discussion remains unresolved regarding the implications of treating electrons as point particles versus having a physical size.

Contextual Notes

Participants reference concepts from both special and general relativity, as well as quantum mechanics, without reaching a consensus on the implications of these theories for the nature of electrons and their effects on space-time.

kalikid021
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Does an electron have enough mass to have any effect on the fabric of Space-Time? How ever small? And if so In theory would that electron produce a miniscule amount of frame dragging on that fabric? And if we could build instruments sensetive enough to detect those effects, would we there by be able to calculate the spin and direction of that electron indirectly sidestepping the quantum uncertainty priciple?
 
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I like the way you think. I had a similar idea using SR rather than GR... According to SR, simultaneity is relative for different frames of referance, so if an event (the simultaneous occurrence of two things at a single moment, such as at 1 sec, particle A is a distance D from particle B) is observed to occur in a particular way in frame S, it will occur differently in frame S'. Therefore, if you take into accout the observations of a specific interaction from two different frames (and resolve the differences in simultaniety between frames), you may be able to determine both position and momentum at the same moment, overcomming the uncertainty principle.

Quantum spin assumes the electron takes up physical space otherwise it wouldn't be able to spin. This means that it's not a point, but that it has a surface (although the electron's radius hasn't been determined). All this implies that (assuming electrons can overcome the coulumb force between them) they can touch each other, and therefore the amount of space-time curvature has a limit. The limit is the distance between the centers of the two kissing electrons, ie. 2Re. That is the maximum amount of their influence on space-time.

If electrons were points, then the smallest distance between them approaches zero, not 2Re. If this were the case, each electron would be composed of an infinite amount of energy, and would curve space-time to the point where it's discontinuous at the electron's center. This type of behavior only resembles something similar to a black hole in the quantum scale.

Personally, I don't know what to think.
 
what do you think? is this a valid way of overcomming the uncertainty principle? Using SR in this way? anybody?
 
I have responded to your idea over on the Transporter thread. Bottom line, no. Sorry.
 
thanks self adjoint, that helps. My physics teacher was trying to persuade the class that the electron must have a radius though, or else at it's center it would contain an infinite potential, which simply can't be the case. But my main question about the uncertainty principle being indirectly overcome using different referance frames... what do you think? (the idea about taking advantage of the relativity of simultenaity)
 
ok, i'll trust you... I just can't see why not right now (maybe when I start thinking of a way to make an experiment I'll see why).
 
In standard quantum mechanics, the self-energy (both electrical and gravitational) of a point electron is infinite but not observable, so physicists just ignore it. In string theory, electrons (like everything else) are looped around the smallest dimensions of space, which sets a minimum size for everything.
 

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