Does an Electron Affect Space-Time? Quantum Uncertainty Explored

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SUMMARY

The discussion centers on whether electrons have enough mass to affect the fabric of space-time and if this effect could be measured to indirectly determine their spin and direction, thus circumventing the quantum uncertainty principle. Participants explore the implications of special relativity (SR) and general relativity (GR) in understanding simultaneity and its impact on measuring position and momentum. Key points include the notion that electrons possess a physical surface, suggesting limitations on space-time curvature, and the debate over whether electrons can be treated as point particles or if they must have a defined radius to avoid infinite self-energy. The conversation concludes with skepticism about overcoming the uncertainty principle through these methods.

PREREQUISITES
  • Understanding of quantum mechanics and the uncertainty principle
  • Familiarity with special relativity (SR) and general relativity (GR)
  • Knowledge of quantum spin and its implications for particle physics
  • Concept of self-energy in quantum field theory
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  • Research the implications of quantum spin on particle behavior
  • Explore the concept of self-energy in quantum mechanics
  • Study the relativity of simultaneity in special relativity
  • Investigate string theory and its treatment of fundamental particles
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Physicists, students of quantum mechanics, and researchers interested in the intersection of quantum theory and relativity, particularly those exploring the implications of electron behavior 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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