AlexG,
My position is that: No one can answer the question of: What is mass?
James
It's been answered. You just don't like or understand the answer.
As for the Higgs, we should find out sometime in the relatively near future.
AlexG,
My position is that: No one can answer the question of: What is mass?
James
Maxwell was, in my opinion, in possession of the right idea, but took the wrong track. The units of mass should be deduced from those of length and time.
The problem with Maxwell's treatment is that he thought in terms of a universal system of units.
There is a tendency in that kind of effort to set constants of proportionality to unity and unitlessness. The proportionality constant that we identify as the universal gravitational constant might be set to unity, I personally would avoid doing that, but it either has units or it does not.
Unitlessness transfers between systems of units. The gravitational constant is not unitless and should not be forcibly caused to become unitless.
Do you have any ideas on how you'd do that? Got an equation for mass in terms of length and time?
It's important in these contexts to distinguish units from dimensions. For example, the dimension of length can be specified in many different units: metres, yards, feet, furlongs, hands, cubits etc.
The equations of physics (Maxwell's equations included) are independent of units, but not dimensions.
The problem you face in trying to derive mass from length and time is that it's not just a unit problem. Mass is a different dimension.
The correct statement is that the gravitational constant always has the same dimensions, but its numerical value changes depending on what system of units you choose. It's like saying that the speed of your car is constant, but it has a numerical value of 10 (metres per second) or 36 (kilometres per hour).
It is never unitless. It may, however, have a numerical value of 1 for some choices of units.
Yes I believe electrons are point particles (actually rotating spheres)
mass is a body's resistance to movement.
inertia is its resistence to rotation.
as simple as they may seem, first time i came across them stated like that was a moment of revelation.
Pretty sure this is wrong.mass is a body's resistance to movement.
inertia is its resistence to rotation.
as simple as they may seem, first time i came across them stated like that was a moment of revelation.
In classical mechanics, moment of inertia, also called mass moment of inertia, rotational inertia, polar moment of inertia of mass, or the angular mass, (SI units kg·m²) is a measure of an object's resistance to changes to its rotation.
I assume you mean that units can be changed. Yes. However, changing units can be detrimental to the ability of an equation to reveal meaning. In any case, units are necessary. They are the means by which properties become parts of equations.
No it is just a unit problem. What is the basis for claiming that it is a different dimension?
I am speaking about units. They are what enter into the equations first. Vectors or dimensions come next if necessary.
Maxwell's units for mass must be wrong. He used a form of Newton's equation that did not even recognize units for the gravitational constant.
Maxwell used it as if it was unitless. For another example, if the speed of light squared is not unitless, then energy is not the same property as is mass. It is the units that make every property unique in equations.
When you speak of dimension what do you mean in the case of mass? If it is meant to communicate that mass is not expressible in terms of units of length and time, then how is this known?
My point is that both force and mass must be reducible to units of length and time or multiples thereof.
No. Fundamentally, the equations of physics are independent of a choice of units.
Actually, it is the dimensions that are most important in equations. Units determine constants of proportionality only.
Energy is never the "same property" as mass. Energy can have the same numerical value as mass if expressed in "natural units" where the speed of light has a numerical value of 1.
The point is that is the physical equation. If you express energy in Joules and mass in kilograms, then c is 299792458 m/s. On the other hand, you could choose a system of units such that c has a numerical value of 1, in which case the equation "reduces" to E=m. But there's still a hidden "1" (squared) in that equation on the right hand side that has dimensions of (length/time) squared.
It's known because nobody has ever come up with any equation expressing mass in terms of length and time. You included, or you would have posted your equation by now.
Force has dimensions of mass.length/time^2. Since mass can't be expressed in terms of length and time, that's as simple as things get.
How is a 'dimension' represented in the equation f=ma?