Diminishing returns from particle accelerators

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In summary, particle accelerators are becoming less productive as the Lorentz factor is increased. However, Stein's law may be related. Additionally, Moore's law is not a straightforward comparison because smaller processors are more efficient than larger ones, and there is a positive feedback with particle accelerators.
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BWV
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Curious about this (https://en.wikipedia.org/wiki/Particle_accelerator)
Particle_Accelerator_Livingston_Chart_2010.png

which indicates diminishing returns on new particle accelerators. However to uncover new physics, presumably you need to keep increasing the Lorentz factor by the roughly 10x trend here:

LorentzFactor-1024x768.png

So is this hopeless?
 
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Feynman writes about this in the Character of Physical Law. He did forecast that it likely will become increasingly difficult to get fundamental scientific discoveries.
 
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I think this doesn't just apply to particle accelerators but to pretty much everything. Like mining ore for example, the easily accessible one gets mined first and fastest, then as you go deeper for more the ore gets less and you get more investment for less return.

Those graphs seem oddly similar to Moore's law for example, and we know now we are at the point where the climb in the graph is going flat.
 
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artis said:
Those graphs seem oddly similar to Moore's law

These are both cases of Stein's Law. "Things that can't go on forever won't."
 
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possibly related...
One interesting comment in the Powers of Ten video...

on the return trip
(?t=5m10s) "Notice the alternation between great activity and relative inactivity, a rhythm that will continue..."

 
  • #6
Although to note one thing, unlike the feature size on microprocessor architecture where we know there won't be any surprises and a minimum is/will soon be reached in high energy physics we don't know whether or not something interesting might still be hiding at a higher energy that we have not yet accessed.

So in a sense it's not a straight forward comparison
 
  • #7
Also there is a positive feedback with moores law - smaller microprocessors are more efficient (per transistor) than larger ones - the power usage of processors has remained about flat for the last 20 years - with particle accelerators inefficiencies would increase with size

1619294326782.jpeg
 

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  • #8
Well, to uncover new physics one may need something else apart from higher energy, for example, detector/technical development in some other part of the experimental setup.
 
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1. What is the concept of diminishing returns from particle accelerators?

The concept of diminishing returns from particle accelerators refers to the point at which the cost and effort of increasing the energy or intensity of a particle accelerator no longer results in significant scientific advancements or discoveries. This is due to the limitations of current technology and the decreasing returns on investment as the energy levels increase.

2. How do scientists measure the effectiveness of a particle accelerator?

The effectiveness of a particle accelerator is measured by the number of particles produced, the energy levels achieved, and the precision of the results. Scientists also consider the cost and feasibility of increasing the energy or intensity of the accelerator.

3. What are some examples of diminishing returns from particle accelerators?

One example of diminishing returns from particle accelerators is the Large Hadron Collider (LHC) at CERN. The LHC has reached its maximum energy level and further increases would require significant investments with limited scientific benefits. Other examples include the Tevatron at Fermilab and the Relativistic Heavy Ion Collider (RHIC) at Brookhaven National Laboratory.

4. Are there any potential solutions to overcome diminishing returns from particle accelerators?

Some potential solutions to overcome diminishing returns from particle accelerators include developing new technologies and techniques to increase the efficiency and precision of accelerators, as well as collaborating with other research institutions to share resources and costs. Additionally, scientists are exploring alternative methods of particle acceleration, such as laser-driven accelerators.

5. How does diminishing returns from particle accelerators impact scientific research?

The concept of diminishing returns from particle accelerators can impact scientific research by limiting the ability to study particles at higher energies and explore new frontiers of physics. It also affects the allocation of resources and funding for research, as scientists must carefully consider the potential returns on investment when proposing new experiments or upgrades to existing accelerators.

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