Vera Metro

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seen Mar 29 '12 at 14:02

Mar
27
comment What are the physycal meaning of universal constants such as the magnetic, electric and gravitational constants?
If your system does not need any units, why would you call it "system of natural units"? This name already implies what I am promoting: constants of nature (such as G, hbar, c, k_B) are used as base units. Your system would have to be called "system of natural non-units". :-) I am not saying your system does not work. All I am saying is your system is like a single speed track bike: it is really fast for experienced riders racing on flat roads, but it is really inconvenient and dangerous for normal riders in real world situations.
Mar
27
comment What are the physycal meaning of universal constants such as the magnetic, electric and gravitational constants?
I think it is a great feature that energies all have the same dimension. In the end, they are all the same quantity: energy. I think it is unfortunate that energy has the same dimension as torque. Where does this come from? Because length in energy and torque are treated the same. Maybe they should, as you suggest, not have the same dimension. Or, in other words, maybe angle should not be dimensionles? I don't really know yet. Please do not mix up dimensions with unit. foot-pounds and joules have the same dimension, they are just different units. A quantity should never imply a unit.
Mar
27
comment What are the physycal meaning of universal constants such as the magnetic, electric and gravitational constants?
The number of dimensions is not given by nature. It is a choice by humans. And for most people it is easiest to understand when every quantity has its own dimension. This means: as long as you distinguish the quantites time and length, there is good reason to let them have different dimensions. Even in natural units. It is really inconvenient when all quantites have the same unit or, even worse, are dimensionles.
Mar
27
comment What are the physycal meaning of universal constants such as the magnetic, electric and gravitational constants?
I understand what you mean, even though you state it uncorrectly. You mix up dimensions and units. Constants are not used to "convert units", but to "convert dimensions". By setting c=1 you convert length and time into quantities of the same dimensions. But why would you want to do this? I am well aware that theoretical physicists do this all the time for "convenience". This, however, does not make it correct. Why is a system of units with fewer dimensions better than a system with more dimensions? It is not. Fewer dimensions makes it actually more complicated for people not as smart as you.
Mar
27
revised What are the physycal meaning of universal constants such as the magnetic, electric and gravitational constants?
nicer formulas
Mar
27
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Mar
27
revised What are the physycal meaning of universal constants such as the magnetic, electric and gravitational constants?
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Mar
26
comment What are the physycal meaning of universal constants such as the magnetic, electric and gravitational constants?
Think of it this way: another constant quantity, the kg prototype in Paris, also has the numerical factor 1 (per definition). Its mass is $m = 1 $kg. If your statement were true, the quantity would also "disappear" and become 1. However, I hope we both agree that the mass of the prototype kg is $m = 1$kg.
Mar
26
comment What are the physycal meaning of universal constants such as the magnetic, electric and gravitational constants?
I have shown that if the numerical factor $ = n = \{G\} = 1$, then the unit becomes U $ = [G] = 6.67300 \cdot 10^{−11}\frac {Nm2}{kg2}$ which is $G$. Thus, G does not disapear, it becomes a unit. I am well aware that this is in contrast with your believe-system and that it is extremely difficult to overcome one's believe-system. But I also think you are smart enough to achieve this. Sit back and take your time to really think about it. In the end it is very trivial.
Mar
26
comment What are the physycal meaning of universal constants such as the magnetic, electric and gravitational constants?
"..., but when the numerical factor is made equal to 1, G disappears." - As I have shown in Note 5, this is not true. The numerical factor is 1, but the unit is still there.
Mar
25
answered What are the physycal meaning of universal constants such as the magnetic, electric and gravitational constants?