The Best Logique Evidence of God Existence

[comet]

I don't think so.  The energy isn't a "fourth vector".  The different types of energy can be thought of as vectors and the total energy is the resultant vector.  the vector quantities themselves might change but the result's magnitude will always be the same.  

you are right and wrong with the car. The reaction force of the street is in response to the car.  Yeah, you can say the friction coming from the street is adding to the car but then look at the car and street surface as the system. we can do this all the way down or all the way up.   

I think your base claim that energy is a component vector is wrong.  "total energy" is the resultant vector, not a component vector.   and its magnitude will always be the same.  KE + PE.  the components that you are talking about are the components of KE and PE. 

I think your base understanding is incomplete.  are you trained in this stuff?

No, you misunderstood. Energy is NOT a vector. It is a *component of* a vector. More specifically, it is the time component of the energy-momentum 4-vector. So, in that sense, it has *exactly* the same 'reality as momentum. In other words, it is a *property* of the particles involved.

The PE and KE are not 'components in the vector sense. They are scalars that add up to be the total energy. But, you are working classically, and classical physics is ultimately wrong. When you get to relativistic physics, energy is one component of a four dimensional vector associated with the particle. And, in fact, the energy-momentum vector for a particle always has a (relativistic) length associated with the rest mass of the particle. That is where the equation E^2 = m^2 c^4 +p^2 c^2 comes from (the correct version of E=mc^2 to apply to moving and/or massless particles).

energy is a property that is used. as in "how much energy does it have?"   I think I get that. 

what type of energy is the time component of energy-momentum 4-vector?   what are its parts?