Golden ratios in quantum mechanics?

In summary, the conversation discusses the presence of golden ratios in quantum mechanics and whether they are as prevalent as in the macroverse. While there are some theories and models that suggest a connection to the golden ratio, it is not yet a widely accepted concept in the field. There are some examples, such as the Fibonacci anyon model and some neutrino theories, but it is not as common as in the macroverse.
  • #1
Loren Booda
3,125
4
Do golden ratios appear in quantum mechanics - such as with the standard model, string theory or quantum gravity?
 
Physics news on Phys.org
  • #2
I don't think so, Loren--at least, not yet. However, I was very startled to see the question! Your natural tendency to think far out of the box is your talent.

In a world dominated by two fold symmetry, 1.414... to 1 is a common ratio we see occurring often. Nature seems to prefer 2:1 over any other.

0.866... is the square root of 3. We don't see it as often. Quarks seem to the the first known, fundamental 3-fold symmetry.

The golden ratio is about 5-fold symmetries. To my knowledge, there is yet to be discovered any elemental 5-fold symmetries in nature.
 
  • #3
It appears in relation to the quantum dimension of the (nontrivial) anyon in the Fibonacci anyon model. Whether or not you consider this a physical example is another matter...
 
  • #4
  • #5
Is it true that golden ratios do not play as significant a part in the microverse as they play in the macroverse?
 

Related to Golden ratios in quantum mechanics?

1. What is the golden ratio in quantum mechanics?

The golden ratio is a mathematical constant, approximately equal to 1.618, that has been found to have significant applications in quantum mechanics. It is often denoted by the Greek letter phi (φ) and is derived from the Fibonacci sequence.

2. What role does the golden ratio play in quantum mechanics?

In quantum mechanics, the golden ratio has been observed to have a fundamental role in shaping the energy levels and transitions of particles. It appears in various equations and principles, such as the Schrödinger equation and the Heisenberg uncertainty principle.

3. How is the golden ratio related to quantum entanglement?

Quantum entanglement, a phenomenon where particles become intrinsically connected and can influence each other's states regardless of distance, has been found to exhibit a relationship with the golden ratio. Some studies suggest that the golden ratio can be used to predict and understand entanglement patterns.

4. Can the golden ratio be applied in quantum computing?

Yes, the golden ratio has been explored as a potential tool in quantum computing. Some research has shown that it could potentially aid in more efficient and accurate quantum information processing, particularly in terms of error correction and optimization.

5. Are there any other connections between the golden ratio and quantum mechanics?

Besides the ones mentioned above, there have been other intriguing connections between the golden ratio and quantum mechanics. For example, some studies have proposed that the golden ratio could be related to the structure and behavior of fundamental particles, such as the electron and the proton.

Similar threads

Replies
22
Views
2K
Replies
2
Views
526
  • Quantum Physics
Replies
3
Views
494
  • Quantum Physics
Replies
4
Views
1K
Replies
6
Views
895
  • Quantum Physics
Replies
7
Views
1K
  • Quantum Physics
Replies
4
Views
502
Replies
3
Views
877
Back
Top