Quote:
Originally Posted by Bogie
Does ΔE refer to an electron? And so the uncertainty principle says if we know where an electron is at any point in time means we can't know its momentum, and to know its momentum we can't know its position?
And further does this apply to smaller particles in QM? Is ΔE a change in position, and Δt a change in time, i.e. are you saying that as a particle moves its position changes by ΔE (distance) in the period of time Δt?
Which ever it is, the EEP is undetectable for a similar reason. There is nothing small enough to indicate the presence of an EEP so the uncertainty principle remains in tact.
But the EEP does define the shortest possible length of time that can be measured. It has physical presence and momentum, and its pulses are theoretically the shortest measurable length of time.
If this is a fundamental limit that applies to the Heisenberg uncertainty principle I do not know. If so, it seems to me we would have to be able to detect either the position or the momentum of the EEP itself. What is there that small if the EEP itself is the smallest elementary particle and therefore seemingly undetectable?
Let me add a thought that is related. The EEP is an entity in space-time. There is no rest state like with an electron. The EEPs that make up an electron are in constant movement at the speed of light inside the electron's dimensions.
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What I'm trying - poorly, so far - to do is probe your claims wrt QM and GR.
In particular, though you state, in effect, that "QM Rules, OK?", I want to explore whether your EEPs do, in fact, behave according to Dirac, Heisenberg, etc.
Let me try again.
GR is a theory about the geometry of space(-time). That geometry is determined by the mass-energy of the region under discussion (and outside the region too, but we'll ignore that, for now).
An inextricable part of quantum theory is
the Heisenberg uncertainty principle. One conjugate pair is energy and time.
In an interval of time Δt, the energy of our region can be uncertain up to ΔE, where Δt ΔE ≥ ħ/2.
When ΔE gets large enough, the geometry of space(-time) becomes seriously different from 'flat'.
When Δt is ~ Planck time, the geometry of space(-time) becomes mush/nonsense.
In our everyday existence, who cares what shape space-time has, in time intervals of ~ Planck time?! There is no observable consequence of this mutual QM/GR inconsistency.
However, if we run the clock back, on the whole universe, we find that the question of what went on in its first Planck second of existence appears to make sense (as a question), but is also impossible to answer, as long as we try to answer using both QM and GR.
Along comes the
Bogie idea, full of EEPs.
If EEPs are thoroughly quantum particles, then how tightly can we constrain their energy, within a Planck time? If EEPs are thoroughly quantum particles, then how tightly can we constrain their momentum, within a Planck length?
If EEPs are thoroughly quantum particles, how do they make the geometry of space(-time) sensible, within the first Planck second? When the universe was the size of a Planck length?