Is Impulse a Discrete Observable in Physics? Exploring Possible Models

In summary, the conversation is discussing the discrepancy between the discrete range of values for free particle spin and the continuous range of values for impulse in physics. The speaker questions if there is a model or research that considers impulse as a discrete observable, but it is noted that most laws and equations in physics are formulated using continuous functions and discretizing them can lead to incorrect conclusions.
  • #1
the_pulp
207
9
Hi there, I have a short thought that I want to share with all of you and see if there has been something written about it and, if not, why not?:

A free particle spin is something that can take a discrete range of values, as it happens with electromagnetic or colour charge. However the other important observable, impulse, can take a continum range of values. This seems suspicious to me since nature seems to be formed by a finite (inmense, but finite) number of mathematical objects. Isnt out there any model or research where it is supposed that impulse is also a discrete observable? perhaps lattice quantum mechanics or something like that?

Thanks!
 
Physics news on Phys.org
  • #2
The problem with discrete view of physics is that most of laws and equation are formulated using differential equations and these refer to continuous and smooth functions. If we try naively to discretize equations, they lead to wrong conclusions. For example, Euler forward scheme is a discretized version of continuous description. But it gives incorrect description and prediction of events, while differential equation is confirmed with fantastic accuracy.
 

Related to Is Impulse a Discrete Observable in Physics? Exploring Possible Models

1. What is a discrete impulse theory?

A discrete impulse theory is a mathematical model that describes the movement of particles or objects under a series of discrete impulses, rather than a continuous force. It is commonly used in the study of physics and mechanics, particularly in the analysis of collisions and impact forces.

2. How does a discrete impulse theory differ from a continuous force theory?

A continuous force theory assumes that forces act continuously on an object, causing a gradual change in its velocity. In contrast, a discrete impulse theory takes into account discrete impulses, which are sudden changes in velocity caused by collisions or impacts. This allows for a more accurate description of real-world scenarios, where forces are not always constant.

3. What are some real-world applications of discrete impulse theories?

Discrete impulse theories are commonly used in the fields of engineering, physics, and mechanics to study the movement of objects and particles. They are particularly useful in analyzing collisions and impacts, such as in car crashes, sports, and industrial accidents. They are also used in the design of safety equipment, such as airbags and helmets, to reduce the impact forces on the human body.

4. How are discrete impulse theories used in computer simulations?

In computer simulations, discrete impulse theories are used to model the movement of objects and particles in virtual environments. By taking into account discrete impulses, the simulations can provide more realistic and accurate results. This is especially important in video games and special effects, where realistic physics play a crucial role in creating an immersive experience.

5. What are some limitations of discrete impulse theories?

One limitation of discrete impulse theories is that they do not account for the effects of air resistance or fluid dynamics. This can lead to inaccuracies in the prediction of an object's movement in real-world scenarios. Additionally, these theories often assume that collisions are perfectly elastic, which may not always be the case. They also do not take into account the internal structure of objects, which can affect their response to impacts. Therefore, it is important to carefully consider the assumptions made in a specific discrete impulse theory before applying it to a real-world situation.

Similar threads

A Exploring the 2-D Ising Model & Its Continuum Limit
    • Atomic and Condensed Matter
Replies
5
Views
3K
I Does the New Muon g-2 Measurement Indicate Physics Beyond the Standard Model?
    • High Energy, Nuclear, Particle Physics
Replies
2
Views
1K
DMD is better without Ergodic Theory and Koopman Operators
    • Topology and Analysis
Replies
2
Views
2K
A Schrödinger's original interpretation
    • Quantum Interpretations and Foundations
Replies
21
Views
2K
Admissions Seeking Feedback on my Physics Personal Statement for Uni Application
    • STEM Academic Advising
Replies
3
Views
494
A States in usual QM/QFT and in the algebraic approach
    • Quantum Physics
Replies
5
Views
1K
B Further Understanding Simultaneity Conventions
    • Special and General Relativity
2
Replies
51
Views
2K
I Two recent tests of loop quantum gravity theory
    • Beyond the Standard Models
Replies
9
Views
585
Admissions Exploring the Universe: Pursuing a PhD in High Energy Physics
    • STEM Academic Advising
Replies
8
Views
1K
Exploring the Limits of Measurement in Quantum Mechanics
    • Quantum Physics
3
Replies
102
Views
16K

Hot Threads

Recent Insights

Back
Top