vin300
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Two electrons cannot touch. At the point is infinite potential
DaleSpam said:I thought that everything (including matter) was viewed as fields in modern QFT etc. So if everything is a field and if the fields are overlapping then in what sense are they not "touching"?
No, the joint probability density function would, in general, be non-zero. In other words, given any finite region there will be a non-zero probablity of finding both particles there. That is why I disagree with this idea that we never touch.daisey said:Someone please correct me if I am wrong, but I believe the fields you refer to consist of waves of possibility. No two waves are exactly the same - in other words if one were to square the wave amplitudes and compute the location of these particles based on probabilities, one would never find the locations to be overlapping - i.e. "touching".
DaleSpam said:No, the joint probability density function would, in general, be non-zero. In other words, given any finite region there will be a non-zero probablity of finding both particles there.
)...I am not completely certain what you are saying here. Phrases like "dynamic attributes are contextual" are not clear to me.daisey said:1. Dynamic attributes are contextual. While, as you stated, probability waves (fields) of two particles might be overlapping, their dynamic attributes (in this case, location) do not exist until measured. Until measured, they are just waves of probability. And once measured, the result of that measurement (again, location in this case) is dependent on the similar attributes of nearby particles (ie. being contextual). Therefore, based on this contextual manifestation, while the potential for two individual particles having the same location according to their wave functions might be non-zero, the chance of them naturally occupying the same space when measured (or observed) is zero.
What does it mean that a particle is a point particle? Experimentally it means that the highest wavelengths we can generate scatter off of it in a specific fashion. Since that highest wavelength is finite we return to my above comments on ranges of values.daisey said:2. Matter consists of electrons and quarks (and force carriers - bosons). And these are defined as having no spatial content (point particles - ZERO size). While these particles may have a mathematically calculated location in space-time when observed, there is nothing there to "touch" (using the common definition of that term), even if the location of two particles were identical. Now, there are consequences when two particles are fused (having the same location, yes - but not "touching"). But I do not believe that happening outside a star is a natural occurrence.
DaleSpam said:I am not completely certain what you are saying here. Phrases like "dynamic attributes are contextual" are not clear to me.
DaleSpam said:It is only ranges of values that have meaning in a CRV. So again, for any range of values, however small, there is a non-zero probability of finding both particles there.
DaleSpam said:However, there is a more basic point that I was trying to make earlier that really has nothing to do with probabilities. Any fundamental fermion (point particle) is a quantized excitation of a fermionic field, and this field has some spatial extent. When the fermionic fields from two fermions are overlapping then I think it makes sense to say that they are "touching". They are certainly spatially "together" in some sense and interacting with each other, so to me that qualifies as "touching".
Why not? Especially considering they interact with each other (unlike rainbows).daisey said:And just because two of these waves mathematically overlap in their spatial extent, I do not consider this "touching".
Yes, that is why I specified fundamental fermions in my post above.daisey said:"Fermions can be elementary, like the electron, or composite, like the proton." Emphasis added
You are right, the argument appears purely semantic and therefore not very interesting.daisey said:I can see your point. I guess it really comes down to the definition of the verb "touch".
I guess my point is that from a QM perspective there is not really much difference between waves of energy and "matter". They are all consistently described as quantized excitations of fields in QM. I just think any physical definition of "touch" should be formulated in such a way as to reflect that.daisey said:It is my humble opinion that waves of energy (or probability) are not able to "touch". Only "matter" can do this.
DaleSpam said:...the argument appears purely semantic and therefore not very interesting.
DaleSpam said:I guess my point is that from a QM perspective there is not really much difference between waves of energy and "matter". They are all consistently described as quantized excitations of fields in QM. I just think any physical definition of "touch" should be formulated in such a way as to reflect that.
I still disagree with the premise. daisey and I have different definitions of "touch". Using hers nothing touches and using mine everything touches. But the argument is purely semantic.bondinthesand said:if we don't touch anything then how come ...
Not all atoms repel each other, particularly not when they are sharing electrons.szekely said:If all atoms repel each other, then what keeps objects together?