What is the Significance of the Planck Length-to-Mass Ratio in Quantum Physics?

Click For Summary

Discussion Overview

The discussion centers on the significance of the ratio of Planck length to Planck mass within the context of quantum physics. Participants explore its implications and relevance in quantum relationships, as well as the mathematical definitions of these quantities.

Discussion Character

  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants inquire about the significance and applications of the Planck length to Planck mass ratio in quantum physics.
  • One participant provides the mathematical definitions of Planck length and Planck mass, stating that the ratio simplifies to G/c² and notes the absence of ħ in this ratio, suggesting it does not appear in quantum relationships.
  • Another participant corrects the equation for Planck length, asserting that it is \(\sqrt{\frac{\hbar G}{c^3}}\), and challenges the previous claim regarding the ratio.
  • A later reply acknowledges the correction regarding the Planck length but maintains that the point about ħ dividing out remains valid.
  • There are light-hearted comments about other potential ratios involving Planck units, indicating a casual tone among some participants.

Areas of Agreement / Disagreement

Participants express disagreement regarding the correct formulation of the Planck length and its implications for the ratio with Planck mass. The discussion remains unresolved with competing views on the significance of the ratio in quantum physics.

Contextual Notes

There are unresolved mathematical steps regarding the definitions and implications of the Planck units, as well as the context in which the ratio is applied. The discussion reflects differing interpretations of the role of ħ in quantum relationships.

delplace
Messages
64
Reaction score
0
does anyone know something about the ratio of Planck length to Planck mass : signification, use in quantum relationships...
 
Physics news on Phys.org
The Planck length is: [tex]\sqrt{\frac{\hbar G}{c^3}}[/tex]

and the Planck mass is: [tex]\sqrt{\frac{\hbar c}{G}}[/tex]

The ratio is therefore [itex]G/c^{2}[/itex]. Since there is no [itex]\hbar[/itex], it will not appear in "quantum relationships".
 
Last edited:
Is this post also just for "testing us"? To see if we are worth your time?
 

Vanadium_50 said:
The Planck length is: [tex]\sqrt{\frac{\hbar G}{c^2}}[/tex]

Negative, that equation is incorrect.

Planck length:
[tex]\ell_P = \sqrt\frac{\hbar G}{c^3}[/tex]
[/Color]
Reference:
http://en.wikipedia.org/wiki/Planck_length"
 
Last edited by a moderator:
Typo fixed. The point that hbar divides out, though, is unaffected.
 
At least nobody is asking for Planck length divided by Planck time ...:biggrin:
 
Last edited:
Planck colour divided by Planck field then? :biggrin:
 

Similar threads

High School Planck Length 1 Detector? Emitter?
  • · Replies 35 ·
2
Replies
35
Views
3K
Undergrad Necessity of Quantum Gravity given Planck scales for nuclear physics
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad The Wavefunction when Mass is Much Greater than Planck's Constant
  • · Replies 21 ·
Replies
21
Views
2K
Undergrad Chunks of action smaller than Planck's constant
  • · Replies 2 ·
Replies
2
Views
1K
High School What is the significance of the Planck length in physics?
  • · Replies 8 ·
Replies
8
Views
2K
High School What is the relationship between the Planck length and black holes?
  • · Replies 9 ·
Replies
9
Views
3K
Graduate Historical clarification of the Planck formula of blackbody radiation
  • · Replies 3 ·
Replies
3
Views
2K
Calculating the Planck Length
  • · Replies 3 ·
Replies
3
Views
1K
Undergrad Is the Planck Length the Ultimate Limit of Measurement?
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Planck had 2 definitions of energy in 1900, how?
  • · Replies 1 ·
Replies
1
Views
1K