It is observed that the heavier the particle, the more unstable it is. For example: The electron m = 510 KeV, t = ∞. The muon m = 0.106 GeV, t = 2.2 10^-6 s. The tauon m = 1.78 GeV t = 2.9 10^-13 s. Can you get the lifetime theoretically? If we find new very heavy particles, will they have a very short lifetime?
The lifetime of the SM particles can he calculated-a standard exercise. It can, also, be measured. The comparison is useful for indicating the existence of hitherto unknown particles.
Stam Nicolis, thank you very much for your reply. For example, if you discover a particle (such as the muon), and you don't know if it decays or not, can you determine that it is unstable or stable theoretically, just knowing some properties such as mass, charge, spin?
The short answer is, Yes. The constraints are the conservation laws, that are part of the Standard Model, energy and momentum conservation and the conservation of electric charge and lepton number.
Good morning, Stam Nicolis, I am going to formulate my question in another way: Given a free elementary particle such as the Muon, the life time is an independent property of the others properties (mass, charge, spin) or it depends on, or is inferred from some or from All of them?
if you assume a lifetime, finite tau even for an electron, it is the key to understand restmass and charge basically (form Newton Einstein-Equation of motion derived). Sounds crazy?
https://www.youtube.com/watch?v=wnR3zMnkahI&t=12s
by the way it solves the fine structure constant. This was the most surprising result for me. Not only charge depends on alpha, also restmass.
More short now. But in German.
https://www.youtube.com/watch?v=lxZ2Nu6_vC0
Excuse me Manfred Geilhaupt, I don't understand German. Would you have the content of the video in English or Spanish?
Sorry, Aurelio Severin: Spanish is not possible. The most important thing is if you assume a finite life span for a non point like electron center at rest and you take my differential equation (my invention if you like which I called Newton Einstein Equation, see the Einstein left side and the Newton right side but use my new interpretation) you get a solution for (inertial) mass m(t) then you calculate the effective value (root mean square, or expectation value). The result is the mass depends on the Sommerfeld FSC. So I derived this value from the equation of motion by simple hypothesis: Lifespan finite and not a point! This has never been done before: Feynman, Pauli, Heisenberg and many others. This is the reason why they could not solve the FSC-Problem!!!! I never intended to solve it. I only asked what happens if the lifespan is finit. The FSC appeared to my big surprise which I first noticed one year later: ?=3/4*(1-lna)^2 what does it mean
a=t/tau. Then I had a 30 year lasting problem to find an experiment. But not an editor who regrets. (You need Einsteins way of thinking if you want to understand 1/beta*ln(W) with W=1/3 from Boltzmann S=k*lnW Entropy concept.) The life span is from 2. Law of Thermodynamics allowed generally for all matter that exists due to energy. (The reason for black matter, now simply explained?)
Manfred Geilhaupt, thank you very much for your explanation. I will try to study his proposal. My goal is to understand whether the particle lifetime is an intrinsic property, independent of other properties and can only be determined experimentally or not.
I think if you want to understand nature basically you need to finde the correct fundamental principles of nature. Lifetime as intrinsic property means to me (and I think so to Einstein - "as far as I know him"). "Static does not exist in nature." (His comment my greatest blunder belongs to this, I think) Thus even an electron changes any how, slowly of course was my point. You may call it intrinsic lifetime in short. You see intrinsic exists first in your head and now you (we) need an experiment to prove it. Otherwise it exists only in a head or two. And not as a principle of nature. But for me it is clear. It must be.
ChatGPT: Obtaining the lifetime of the Standard Model particles is both an experimental and theoretical task.
Theoretical calculations of particle lifetimes are based on the Standard Model and its mathematical framework, which incorporates the fundamental interactions between particles. These calculations take into account the various decay channels available to the particle and the strength of the interactions involved. Theoretical predictions of particle lifetimes can be compared with experimental results to test the validity of the Standard Model.
Experimental measurements of particle lifetimes are carried out by colliding particles in high-energy accelerators and observing the products of their decays. By analyzing the characteristics of the decay products, such as their momentum and energy, researchers can determine the lifetime of the decaying particle. Experimental measurements are crucial for verifying the accuracy of theoretical predictions and discovering new particles.
In summary, obtaining the lifetime of Standard Model particles requires a combination of theoretical calculations and experimental measurements. Theoretical predictions provide a basis for understanding the fundamental interactions between particles, while experimental measurements provide crucial tests of the Standard Model and insights into the behavior of particles at high energies.
ChatGPT Response 2:The lifetime of particles in the standard model is a physical quantity that can be both theoretically calculated and experimentally measured.
On the theoretical side, the standard model predicts the values of particle lifetimes based on its underlying equations and assumptions about the properties of the particles. These predictions are made using a combination of theoretical calculations and experimental inputs, such as measurements of particle masses and couplings.
On the experimental side, particle lifetimes can be measured directly through observations of particle decays. These measurements are performed using particle accelerators and detectors, which allow physicists to observe the decay products of a particle and infer its lifetime.
In practice, theoretical predictions and experimental measurements are often compared and used to refine our understanding of the standard model and its parameters. The agreement between theory and experiment can also be used to test the validity of the standard model and search for new physics beyond it.
ChatGPT Response 3:The lifetime of particles in the Standard Model is typically determined through experimental measurements rather than theoretical calculations. The Standard Model provides a framework for predicting the behavior of particles, including their lifetimes, but the precise values of these lifetimes depend on a variety of experimental factors.
Experimental techniques such as particle accelerators and detectors are used to study the behavior of particles and measure their lifetimes. These measurements are then compared to theoretical predictions from the Standard Model to test the accuracy of the theory and search for new physics beyond the Standard Model.
So, the lifetime of particles in the Standard Model is determined through experimental measurements, but the theoretical framework provided by the Standard Model is used to guide and interpret these measurements.
"It is observed that the heavier the particle, the more unstable it is. For example: The electron m = 510 KeV, t = ∞."
if you assume electron's lifetime is not infinite, Einstein's way of thinking leads to FSC, depending on the lifetime of the electrons mass. Crazy enough to be true? Or the reason why QED or SM is not able to solve the Sommerfeld FSC problem since 120years!