String theory and decay

About the string theory, would each string have its own wave equation?

What shape would it have? How would a string decay?

Into two strings quantum "ejected" in opposite directions at a moment of a bipolar vibration?

If so, how long after and how far away? or rather ...?

The reply by Gemini-Bard 1.5:

String theory is a complex and still-developing area of physics, but here's a breakdown of some key aspects related to your questions:

Yes, in a sense. Each string in string theory obeys a wave equation, but it's much more intricate than the wave equation for a classical string.
This equation describes the string's vibrations in a higher-dimensional space (often 10 or 11 dimensions).
The solutions to this equation determine the allowed vibrational modes of the string, which correspond to different particles and their properties (like mass and charge).

Strings in string theory are not like ordinary strings. They don't have a fixed shape in the usual sense.
Instead, they are one-dimensional objects that can vibrate and move in complex ways within the higher-dimensional space.
Some visualizations depict them as loops or segments, but these are simplifications.

String decay is a complex process not fully understood.
It's not as simple as a classical string breaking into two pieces.
In string theory, the process is likely related to the interactions between strings and the emission or absorption of other particles.
The exact mechanisms and decay products depend on the specific type of string and the energy involved.

The concept of "bipolar vibration" in the context of string decay is not a standard term in string theory.
String vibrations are more complex than simple back-and-forth motions.
It's possible that certain vibrational modes could be associated with a kind of "bipolar" behavior, but this would need to be explored within the framework of the theory.

Important Notes:

String theory is still a work in progress. Many aspects are still under active research and debate among physicists. (String Theory is Dead. Here's What Isn't - YouTube)

The above is a simplified explanation. A deeper understanding requires advanced mathematical concepts and a solid grounding in quantum field theory and general relativity.

To learn more:

I recommend exploring introductory resources on string theory.
Look for books or online courses that explain the basic concepts in a clear and accessible way.
Keep in mind that string theory is a highly specialized subject, and it may take time and effort to grasp the core ideas.

I hope this provides a basic overview of string theory and helps you understand some of the key concepts you've inquired about.

My reply:

Are there proposed formulas about string frequencies?

Which are the relations between energy, frequency and amplitude of vibrations,

in particular for highest energy strings?

The reply by Gemini-Bard 1.5:

In String Theory:

Fundamental Relation: The most crucial relationship is between a string's vibrational frequency (f) and its energy (E):

E = hf where 'h' is Planck's constant. This equation, a cornerstone of quantum mechanics, directly links a string's vibrational state to its energy content. Higher frequencies correspond to higher energy states.

No Absolute Limit: In principle, there's no theoretical upper limit to the frequency (and thus energy) of a string's vibration.
Planck Scale: Extremely high-energy strings would probe the Planck scale, where quantum gravity effects become dominant. This is an area of active research, and our current understanding is incomplete.

Important Considerations:

String Theory is Complex: The relationships between frequency, energy, and other properties of strings are highly complex within the framework of string theory.
Higher Dimensions: String theory operates in higher-dimensional spaces, and the vibrational modes of strings are intricate.
Quantum Effects: Quantum mechanics plays a crucial role in understanding string behavior, including its vibrational states.

In Summary:

Frequency is directly proportional to energy for string vibrations.
Higher frequencies correspond to higher energy states.
The concept of "highest energy strings" is complex, and there's no definitive answer regarding their properties within the current understanding of string theory.

Disclaimer:

I hope this provides a helpful overview of the relationships between frequency and energy in the context of string theory!