What's the difference between invariant mass and relativistic mass?

Question

If mass increases as a particle approaches the speed of light, the mass of even an electron will tend towards infinity. There would come a point where the electron's increase in mass would create non-negligable gravitational effects. By this logic, a particle moving near the speed of light could become a black hole. Looking at it from the electron's perspective, the whole universe is moving past it at about the speed of light and it too would have such a mass increase that even the smallest of objects would become black holes. Obviously, this doesn't happen. There must be some crucial distinction between invariant mass and relativistic mass the prevents this ludicrous conclusion from actually happening. What is the distinction?

Answer 1

What you are saying is that relativistic mass Mr=LM where L is a Lorentz factor
L= 1/SQRT(1-v^2/c^2). Indeed L becomes infinite as v of the mass M approaches c or the speed of light. The mass M becomes Mr and it is bigger then any black hole!

Well it is time to introduce a statement like at the transition point the laws of no longer apply. Yes I know it a bad excuse. However the mass of a photon at rest is zero like in 0. How convenient. If it was not a so then a single photon could suck in …, o my, the whole Universe or just us.

I agree we need a model for an intermediate mass. I would let the champions of the string theory to shine some light on that question.

I’m so happy we are still here. :)

Answer 2

Theres is no such thing as relativistic mass. Mass is an invariant and therefore does not change - ever.

An object traveling near the the speed of light, at a velocity, v will have a momentum:

gamma*mass*v

where gamma is given by 1/sqrt[1 - (v/c)^2]

Many people will think that this is because the mass is changed at very large speeds, when in fact it is the velocity that is relative. This is why momentum is also relative.

Answer 3

Mass and weight are 2 effortless, and commonly misused and misunderstood words in mechanics and fluid mechanics. the standard relation between the mass and the load is defined from the Newton's second regulation and may be expressed in SI-contraptions as F = m a (a million) the position F = stress (N) m = mass (kg) a = acceleration (m/s2) Mass is a level of the quantity of fabric in an merchandise, being rapidly on the region of the kind and form of atoms recent contained in the article. Mass does not replace with a body's position, flow or alteration of its structure except fabric is further or bumped off. The mass is a standard resources of an merchandise, a numerical degree of its inertia and a standard degree of the quantity of count number contained in the article. Weight is the gravitational stress performing on a body mass. remodeling Newton's second regulation with reference to the load as a stress using gravity provides w = m g (2) the position w = weight (N) m = mass (kg) g = acceleration of gravity (m/s2) The dealing with of mass and weight relies upon on the platforms of contraptions that's used. the most effortless platforms of contraptions are the * global equipment - SI * British Gravitational equipment - BG * English Engineering equipment - EE

Answer 4

The mass increase you describe for the electron isn't felt by the object itself, just as the time dilation of special relativity isn't felt by the object. It is only apparent to an external observer, hence it is "relative" and depends on the frame of reference used. To an external observer it appears that the faster the object moves the more energy is needed to move it. From this, an external, stationary observer will infer that because mass is a resistance to acceleration and the body is resisting being accelerated, the mass of the object has increased.

Answer 5

The amount of energy required to achieve the outcome is unobtainable. For example, particle accelerators require bigger and bigger power inputs to push electrons, protons or atomic nuclei to a fraction of light speed. Also, what happens physically to a particle that is accelerated too much? It disintegrates.

My theory of matter (Ultrawave Theory) suggests that no mass increase takes place with the actual particle, just a concentration of strings that are resisting the movement.

Answer 6

one of them is invariant and the other is relativistic