Visualizing Mass Acceleration to Speed of Light: Is E=mc^2?

[bizzder]

A long time ago I visualized mass accelerated to the speed of light(or theoretical maximum to this speed) as an upside-down parabola touching the y=0 line.

Now, today I thought of the following:

if you would represent a certain parabola(equation according to ^2 of the mass/energy ratio required) in 3d (not a cone) (maximum at y=0), and place the surface of a circle ∏r^2 within that '3d parabola' (horizontally) and move this circle upward towards the y=0, until ∏r^2 'within' the 3d parabola reaches y=0 ( so, ∏r^2) 'within' the 3d parabola = 0 = maximum acceleration to the point of black hole formation = 'point of black hole maximum mass' = speed of light limit ).

And, ∏r^2 'within' 3d parabola moves downward so that ∏r^2 'within' 3d parabola = infinite = no mass = no acceleration (according to E=m(c)^2)

Is it so that these '2 infinite limits'(infinite energy required and infinite ∏r^2) define the E? so that the above explanation is equal to M(c)^2? If so, what would the formula be for this 'system? (non simplified, that is all possible positions of 'horizontal ∏r^2 within 3d parabola' equation)


I was intrigued when I read about Einsteins discovery that gravity is equal to acceleration (with equal consequences), so after some thinking I came up with the story above. Is it flawed?? as you can see, my math skills are VERY basic, but I think it should be simple to understand with some visualization.

 

[UltrafastPED]

I couldn't follow what you were saying ... so I suggest that _you_ provide the visualization.

I'm not even sure what your point is!

 

[bizzder]

My point is that this visualization is a kind of intuitive approach to E=mc^2.

Just like a sine wave can be represented in 3d. (like a spring stretched out, from the side it will look like a sine wave). By using trigonometry within this structure, it is easier/more intuitive doing sine calculations.

Similarly, I believe, E=mc^2 can be explained more intuitively with the explanation above, But I only have basic college math skills, so I suck at explaining it.

 

[UltrafastPED]

E=mc^2 isn't even the complete equation ... it is the special case of a mass at rest. If it is moving you need

E^2 = (pc)^2 + (mc^2)^2

You might this "Minute Physics" video:

 

[bizzder]

How come is it a 'special case'? Isn't E=mc^2 simply the acceleration and kinetic energy part taken out of E^2 = (pc)^2 + (mc^2)^2? It doesn't really change my question

 

[UltrafastPED]

Nope. For clarification, watch the video.

 

[bizzder]

The video only confuses things; The core issue is relativistic E=mc^2. Great video for unique hits (there's more to e=mc^2 guys!) but they don't seem to get it themselves.

E^2 = (pc)^2 + (mc^2)^2 is about mass @ certain speed, which adds extra mass into the equation that is arbitrary, it's a side track not important to the core E=mc^2. This must be about mass-issues of things like photons (mass or no mass) In that case, to clarify things, E^2 = (pc)^2 + (mc^2)^2 could be needed.

My question was about the interrelated-ness of energy/mass, not how it should be applied to objects.