Not true (more below).
Now, in view of the above, you may see that the “symmetric momentum events” argument DOES have VERY sound and self-evident ‘footing’’. For you can’t have your cake and eat it too. If the putative nano-holes are fast enough to be ‘ejected’, they they are not slow enough to cause your asteroid belt rubble. See?
The ejection would be caused by an uneven crumbling of the mantel. It'd work very much like a flywheel breaking in two.
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I appeal to your intellect in recognising ‘prima facia’ the astronomical numbers and instants involved which would be EVEN THIS SECOND producing innumerable SLOW cosmic-Ray-to-Cosmic-Ray (putative) nano-holes all over and around us and every body in our solar system. Nature is vastly more capable that a few scientists at Cern....and in view of the astronomical odds involved, if it COULD happen, it would happen NOW as OFTEN as it (putatively) would have been happening over the PAST billions of years.
First, thanks for suggesting I
have an intellect. And I do concede (often) that we are probably safe. I'd just like this issue explored more thoroughly.
Anyway, I performed a little word smithing and I think I've come up with a pretty decent lay representation of your "symmetric momentum events" model and why I feel you are in error. Here goes:
In order for a high-energy cosmic ray collision to exhibit symmetric momentum to an arbitrary observer, certain conditions must be met.
1. The angle of attack of the two colliding bodies must be extremely precise. That is, that it must be a virtually dead-on collision without angular variance, as angular varaince will allow for a new combined mass trajectory/momentum to be created, relative to our observer.
2. The relative momentums of the two masses must be equal and opposite to the observer at the location of the collision, and they must sum to zero at the observer's location at the time of the collision in 3D space plus time (the observer need not be stationary).
Taking the first tenet, we can imagine the two cosmic ray particles hitting dead on quite easily. More difficult, is to imagine the probability of this happening in any arbitrary location. Let's assume that two cosmic rays are indeed destined to collide at a given location. What are the possibilities that they will meet dead-on versus any other angle. Amazingly, the odds are billions to one. This is because there are litterally billions of directions (vectors) that the two particles can be traversing, in order to reach our impact point which result in a continuing, combined momentum trajectory that exceeds escape velocity. To put it more preciscely, the higher the energy of the collision, the more precise the angle of the trajectories must be in order to cause a relative dead stop. At relativistic velocities, almost any variance (regardless of how small) would result in speedy continued motion.
So now, let's agree that two particles at least meet head-on. Do they stop? What are the odds that they stop? In order for them to stop in any arbitrary location, their relative momentums must be extremely precise. Any variance in mass or speed of either body will cause them to have continued momentum in one direction or the other.
We can easily imagine two like bodies traveling in equal and opposite directions with equal and opposite relative momentums, but how many other possibilities are there? The answer of course is billions... virtually infinite variations.
Now, let's add time. We agree that the collision occurs precisely in a given location, but when does it occur? What are the possibilities? If the universe is 13 billion years old, that means that the odds of a particular collision happening in a given location in a whole years time, are 13 billion to one! Imagine the odds of it occuring in a given minute, or even a given second!
So, let's add our observer. He's on a planet, orbiting a sun, orbiting a galactic center, orbiting a super cluster, and so on.
We now know that the odds of any particular relativistic particle collision causing symmetric momentum with him happening in any given point and time in space is quite small indeed. The only question needing to be answered then is how often these occurences happen. This is of course dependent on how many cosmic ray particles there are whizzing about. It's a lot, but even so they are so small that the odds of one hitting another in any given location is very, very small... indeed.
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| QUOTE |
| I appeal to your intellect in recognising ‘prima facia’ the astronomical numbers and instants involved which would be EVEN THIS SECOND producing innumerable SLOW cosmic-Ray-to-Cosmic-Ray (putative) nano-holes all over and around us and every body in our solar system. Nature is vastly more capable that a few scientists at Cern....and in view of the astronomical odds involved, if it COULD happen, it would happen NOW as OFTEN as it (putatively) would have been happening over the PAST billions of years. |
First, thanks for suggesting I
have an intellect. And I do concede (often) that we are probably safe. I'd just like this issue explored more thoroughly.
Anyway, I performed a little word smithing and I think I've come up with a pretty decent lay representation of your "symmetric momentum events" model and why I feel you are in error. Here goes:
In order for a high-energy cosmic ray collision to exhibit symmetric momentum to an arbitrary observer, certain conditions must be met.
1. The angle of attack of the two colliding bodies must be extremely precise. That is, that it must be a virtually dead-on collision without angular variance, as angular varaince will allow for a new combined mass trajectory/momentum to be created, relative to our observer.
2. The relative momentums of the two masses must be equal and opposite to the observer at the location of the collision, and they must sum to zero at the observer's location at the time of the collision in 3D space plus time (the observer need not be stationary).
Taking the first tenet, we can imagine the two cosmic ray particles hitting dead on quite easily. More difficult, is to imagine the probability of this happening in any arbitrary location. Let's assume that two cosmic rays are indeed destined to collide at a given location. What are the possibilities that they will meet dead-on versus any other angle. Amazingly, the odds are billions to one. This is because there are litterally billions of directions (vectors) that the two particles can be traversing, in order to reach our impact point which result in a continuing, combined momentum trajectory that exceeds escape velocity. To put it more preciscely, the higher the energy of the collision, the more precise the angle of the trajectories must be in order to cause a relative dead stop. At relativistic velocities, almost any variance (regardless of how small) would result in speedy continued motion.
So now, let's agree that two particles at least meet head-on. Do they stop? What are the odds that they stop? In order for them to stop in any arbitrary location, their relative momentums must be extremely precise. Any variance in mass or speed of either body will cause them to have continued momentum in one direction or the other.
We can easily imagine two like bodies traveling in equal and opposite directions with equal and opposite relative momentums, but how many other possibilities are there? The answer of course is billions... virtually infinite variations.
Now, let's add time. We agree that the collision occurs precisely in a given location, but when does it occur? What are the possibilities? If the universe is 13 billion years old, that means that the odds of a particular collision happening in a given location in a whole years time, are 13 billion to one! Imagine the odds of it occuring in a given minute, or even a given second!
So, let's add our observer. He's on a planet, orbiting a sun, orbiting a galactic center, orbiting a super cluster, and so on.
We now know that the odds of any particular relativistic particle collision causing symmetric momentum with him happening in any given point and time in space is quite small indeed. The only question needing to be answered then is how often these occurences happen. This is of course dependent on how many cosmic ray particles there are whizzing about. It's a lot, but even so they are so small that the odds of one hitting another in any given location is very, very small... indeed.
Your arguments are based on speculation that (1) nano-holes CAN form AT ALL. (as distinct from those larger types from solar-mass collapses); (2) that Cern CAN make them and; (3) that NATURE CANNOT produce same in abundance if it were possible to form nano-holes AT ALL. Any reasonable person need NOT worry about PROVING ANYTHING to your satisfaction, because NATURE and OBSERVATION has proved it already by the sheer probabilities involved which would have PREVENTED our solar system from being here in the first place. Since my arguments are based on observed nature and probabilities and yours are based on speculation, I think we know whose arguments are speculative and whose are reasonable.
Ah, but since yours ignore the conservation of momentum laws, the observed dark matter galaxies, the observed dark matter halos, the observed incident at the RHIC, the observation that no other planet is known to have an LHC, and common sense, I feel that yours are at least equally speculative (if not more so).
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Don’t believe everything you read. As you yourself say, Scientists don’t know everything. Your own speculative fears are based on others’ speculative musings. Stop ‘picking and choosing’ others’ comments and make a few observations/calculations of your own using the observed probabilities and phenomena we DO know about....and THEN reconsider whether your fears would not have been realised NATURALLY and , long, long, long ago all over the universe to the point that no ‘ordinary’ phenomena/matter would persist at all into the present states we observe them in.
Why don't you try looking at the situation with an unbiased opinion, like a real scientist would?
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