Does an Electron Affect Space-Time? Quantum Uncertainty Explored

  • Thread starter kalikid021
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In summary: So the self-energy of an electron would be finite and observable. In that case, it would add to the curvature of space-time at its center, just like the electric and gravitational fields. It would be like a black hole in a much smaller scale.
  • #1
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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  • #2
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 occurance 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 infinate 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.
 
  • #3
what do you think? is this a valid way of overcomming the uncertainty principle? Using SR in this way? anybody?
 
  • #4
I have responded to your idea over on the Transporter thread. Bottom line, no. Sorry.
 
  • #5
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 infinate 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)
 
  • #6
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).
 
  • #7
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.
 

1. What is the relationship between electrons and space-time?

The relationship between electrons and space-time is a complex and ongoing area of research in quantum mechanics. It is believed that electrons, as subatomic particles, have an impact on the fabric of space-time through their interactions with other particles. This is known as quantum entanglement, where the state of one particle can affect the state of another particle even when they are separated by large distances.

2. How does the uncertainty principle relate to electrons and space-time?

The uncertainty principle, which is a fundamental principle of quantum mechanics, states that it is impossible to know both the position and momentum of a particle with complete precision. This means that the more we know about the position of an electron, the less we know about its momentum, and vice versa. This uncertainty is also linked to the idea of quantum fluctuations, which can have an effect on the fabric of space-time.

3. Can electrons change the structure of space-time?

While it is believed that electrons have an impact on space-time, it is unlikely that they can change its fundamental structure. However, their interactions with other particles can cause fluctuations and distortions in the fabric of space-time. These small changes can have significant effects on the behavior of particles at the quantum level.

4. How do scientists study the effects of electrons on space-time?

Scientists use a variety of experimental and theoretical methods to study the relationship between electrons and space-time. This includes conducting experiments with particle accelerators, analyzing data from observations of subatomic particles, and developing mathematical models and theories to explain their behavior. It is a complex and ongoing area of research that requires collaboration and interdisciplinary approaches.

5. What are the potential implications of understanding the impact of electrons on space-time?

A better understanding of the relationship between electrons and space-time can have significant implications for our understanding of the universe and the laws of physics. It could also have practical applications in technologies such as quantum computing and communication. Additionally, studying the effects of electrons on space-time could lead to new insights and advancements in fields such as cosmology and astrophysics.

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