Where Does Energy Come from and Go to? — Time, Physically!
<p>“Nothing can be accelerated to the speed of light <strong>c</strong>” because it will require infinite energy to do so, even for a particle, even more so for a car, why? According to the <strong>mv²/2</strong> formula, the energy required for getting to <strong>c</strong>-speed is finite <strong>mc²/2</strong>. However, Einstein found that <strong>mv²/2</strong> formula is correct only for velocities much smaller than <strong>c</strong>. The energy formula changes with high velocities because time inside sped up objects slows down, and energy is very sensitive to time: even <strong>Joule</strong> energy unit strongly depends on time, <strong>Joule</strong>=kg×m<strong>²</strong>/<strong>sec²</strong>. If we denote rate of time dilation as <strong>D</strong>, meaning <strong>D=2</strong> if time slows down twice (for 1 second outside the object, 0.5 seconds pass inside the object), then the actual energy formula for any object, moving or stationary, is <strong>mc²(D+1/D)/2</strong>. How does time dilation <strong>D</strong> depend on velocity? Einstein’s formula for that is <strong>D=1/sqrt(1-v²/c²)</strong>, where <strong>sqrt</strong> denotes square root. By this formula, if velocity of the object is half the speed of light, then for 1 second outside this object,</p>
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