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Wednesday, December 23, 2015

Einstein's Equivalence Principle and The Emerging Mass Idea


 

I'd like to again thank Astrophysics 101 contributor Larry Rasouliyan for providing calculus ideas associated with the F=ma idea. These calculus ideas inspired me to look at the F=ma idea from another perspective.

Essentially F (Force) can be thought of as a calculation of emerging mass. Instead of keeping mass constant, you can think of it as a variable changing in time. The emerging mass idea gives us a whole new perspective on the Force Idea and provides a considerable amount of insight on F=ma. This new perspective could pave the way for new thinking and new ideas related to energy, force, and momentum.

Emerging mass seems to come about through our perception of movement.

According to a strict interpretation of F=ma, movement can be thought of as a measurement by an observer of a changing velocity. Or, movement can be theoretically measured as the velocity derivative or the acceleration.

I think it's convenient to look at movement in terms of acceleration because classical mechanics and logical reasoning will suggest that everything is moving. Logic also suggests that there is no REAL zero velocity for any particular object. There is also no REAL constant velocity. Everything is constantly accelerating and decelerating. The assumption that everything is moving simplifies relativity ideas.

An object that is NOT accelerating relative to an observer can be thought of as moving at a CONSTANT theoretical velocity. An object that IS accelerating relative to an observer is moving with a CHANGING theoretical velocity.

What is really intriguing here is that objects that enter our vision window are accelerating based on our perception. In other words, was that object there when we were not looking at it? Did that car just show up moving at 50 miles an hour as soon as we turned our head to look both ways before crossing the street. You would say "I never saw it coming!'

The nature of the vision window always gives the observer the perception of accelerating objects as they enter the vision window and as they come into focus. This perception of accelerating objects may be a direct contributor to the emerging mass idea in F=ma.

If you look up the equivalence principle, you'll find that it basically asserts that the inertial mass idea that has to do with moving objects is equivalent to the gravitational mass idea that has to do with falling objects. If you do some digging, you also might find that Einstein said that the acceleration due to gravity is the result of the earth moving towards us.

While I agree with Einstein's calculation using F=ma, I don't feel comfortable with the idea of the earth moving towards us during free fall. Looking a little bit closer, ideas related to force and momentum are very ambiguous and might need to be re-addressed.

Although it is quite controversial, I would probably feel more comfortable with the idea that nothing is really moving. Hopefully,I will have a chance to get back to this a little bit later. This remarkable conclusion relates to some other ideas that I have been thinking about. In particular it raises more questions. Do we need physical space to create a reality? Or is it all just a dream?

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