Planck's Impedance: Exploring the Mystery of a Fictional Measurement System

  • Context: Undergrad 
  • Thread starter Thread starter AlexB23
  • Start date Start date
  • Tags Tags
    Impedance
Click For Summary

Discussion Overview

The discussion revolves around a fictional measurement system defined by unique base units and its derived unit of resistance, which coincidentally equals Planck's impedance. Participants explore the implications of this coincidence and the definitions of the units involved.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant defines a fictional measurement system with specific base units, including Berkel, Dist'al, Hef'al, and Muncie, and notes that the derived unit of resistance equals 29.9792458 Ohms.
  • Another participant questions the relevance of the defined unit system and asks if there is a specific question being posed.
  • A participant suggests that the coincidence of the derived resistance value with Planck's impedance may be just a numerical coincidence unless the units were intentionally defined to align.
  • The original poster clarifies that the time unit was not chosen to coincide with Planck's impedance and explains the basis for defining the time unit and the distance unit, raising the possibility that the definitions of Dist'al and Muncie could contribute to the coincidence.
  • The original poster also points out that Planck's impedance in SI units is numerically related to the speed of light, suggesting further connections that may be worth exploring.

Areas of Agreement / Disagreement

Participants express differing views on whether the coincidence of the resistance value with Planck's impedance is significant or merely coincidental. There is no consensus on the implications of this relationship.

Contextual Notes

Participants note that the definitions of the units are based on fictional constructs, which may limit the applicability of the discussion to real-world physics. The relationship between the defined units and established physical constants remains unresolved.

Who May Find This Useful

This discussion may be of interest to those exploring theoretical frameworks in measurement systems, fictional constructs in physics, or the relationships between defined units and physical constants.

AlexB23
Messages
167
Reaction score
212
TL;DR
Hello guys, and am new here. A week ago I was working on a fictional measurement system, and the Planck's impedance came out of it after some dimensional analysis.
The measurements system is defined by the following base units:

1 Berkel = 0.8590488 seconds (1,220,197,850 oscillations of the hydrogen atom in a hyperfine state)

1 Dist'al = 0.2575363 meters
(Speed of light multiplied by 1×10⁻⁹ Berkels)

1 Hef'al = 17.08109 kg
(Mass of 1 cubic dist'al of water at 4°C)

1 Muncie = 0.2441514114 Amp
(Amount of force per dist'al of two infinite wires separated by one dist'al is equal to 2×10⁻⁹ force units when the current is 1 Muncie)

Somehow, the derived unit of resistance in this fictional measurement system is equal to 29.9792458 Ohms, when doing the dimensional analysis, which is the same value as Planck's impedance. Why is that?
 

Attachments

Last edited:
Physics news on Phys.org
Welcome to PF.

You can define a unit system any way you want. The trick is getting anyone to use it. Is there a question here?
 
Ibix said:
You can define a unit system any way you want. The trick is getting anyone to use it. Is there a question here?
I had to edit the question and post my measurement base units, but it is now there.
 
AlexB23 said:
I had to edit the question and post my measurement base units, but it is now there.
Just a numerical coincidence unless you picked the units to coincide in some way.
 
PeroK said:
Just a numerical coincidence unless you picked the units to coincide in some way.
I didn't pick the time unit to coincide in that way. The time unit is equal to 1/100,000th the length of a day on a fictional planet. The day length is 85,904.88 seconds, or 100,000 Berkels in this measurement system. Could it be the fact that the dist'al is defined as the distance light travels in 10⁻⁹ Berkels? Or that the Muncie is defined as being the current that generates 2×10⁻⁹ force units/dist'al between two wires separated by a dist'al?

Also, I have noticed that the Planck's impedance expressed in SI units is 29.97 Ohms, which is coincidentally, and exactly 1/10 million times the value of the speed of light in m/s without the units attached.
 

Similar threads

Graduate Historical clarification of the Planck formula of blackbody radiation
  • · Replies 3 ·
Replies
3
Views
2K
Is my fictional Solar System stable and realistic?
  • · Replies 21 ·
Replies
21
Views
5K
Spring Kinematics and Electricity/magnetism properties.
  • · Replies 2 ·
Replies
2
Views
7K
Help in choosing 4 upper division physics classes.
  • · Replies 4 ·
Replies
4
Views
3K
Are we living in a computer simulation?
  • · Replies 44 ·
2
Replies
44
Views
12K
Graduate In search for a holistic perspective on the physical reality
  • · Replies 2 ·
Replies
2
Views
8K
Graduate Ideas on what the extra dimensions are
  • · Replies 1 ·
Replies
1
Views
3K
Graduate How Does Solid Hydrogen Impact Our Understanding of Cosmology?
  • · Replies 5 ·
Replies
5
Views
4K
Graduate Puzzles of angular acceleration
  • · Replies 26 ·
Replies
26
Views
5K
Mathematica This Week's Finds in Mathematical Physics (Week 251)
  • · Replies 1 ·
Replies
1
Views
2K