- #31
- 22,823
- 14,864
But my point is that there is a relativistic analogue of the de Broglie relation. It just relates 4-frequency to 4-momentum.
Inverse results in special relativity
- Context: Undergrad
- Thread starter Kairos
- Start date
Click For Summary
Discussion Overview
The discussion revolves around the relationships between mass, frequency, and energy in the context of special relativity, particularly focusing on the implications of relativistic effects on these quantities. Participants explore concepts such as relativistic mass, energy equivalence, and the de Broglie relation, while addressing potential misunderstandings and clarifications regarding the application of these principles.
Discussion Character
- Exploratory
- Technical explanation
- Debate/contested
- Mathematical reasoning
Main Points Raised
- Some participants assert that the mass of an object moving at speed v increases according to the formula $$\frac{m'}{m}=\frac{1}{\sqrt{1-\frac{v^{2}}{c^{2}}}}$$ while others challenge this notion, suggesting that mass should not be treated in this way.
- There is a proposal to focus on energy rather than mass, with the relationship $$\frac{E}{E_0}=\frac{1}{\sqrt{1-\frac{v^{2}}{c^{2}}}}$$ being suggested as a clearer approach.
- Participants discuss the relationship between frequency and energy, with some claiming that $$h\nu=mc^{2}$$ is not applicable in the same way for massive objects as it is for photons.
- One participant questions the meaning of frequency in the context of a moving object, suggesting that it may not have a constant frequency unless it is in a specific type of motion.
- There are discussions about the de Broglie relation and its applicability to massive objects, with some asserting that it is outdated but still relevant under certain conditions.
- The concept of apparent frequency and wavelength is debated, particularly in relation to the relativistic Doppler effect and how it applies to moving sources of light.
- Clarifications are sought regarding the application of length contraction to wavelengths, with some participants arguing that it does not apply in the same manner as it does for other relativistic effects.
Areas of Agreement / Disagreement
Participants express multiple competing views on the relationships between mass, frequency, and energy, with no consensus reached on the validity of certain claims or the applicability of specific formulas. The discussion remains unresolved with ongoing debates about the interpretations of relativistic principles.
Contextual Notes
There are limitations in the discussion regarding the assumptions made about the relationships between mass and frequency, as well as the applicability of certain equations to different types of particles (e.g., photons vs. massive objects). Some participants express uncertainty about the generalizability of concepts like the de Broglie wavelength to massive objects.
Similar threads
- · Replies 3 ·
- · Replies 4 ·
- · Replies 7 ·
- · Replies 17 ·
- · Replies 23 ·
- · Replies 76 ·
- · Replies 3 ·
Undergrad
Electrodynamics of Dielectrics: 4D to 3D
- · Replies 1 ·
- · Replies 2 ·
- · Replies 7 ·