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Mr Nilak,Thank you for sharing,You have said:"Gravity actually doesn't reduce clocks rates by the strength of the gravitational field. Only if you travel from one height to another you will experience these effects, in a constant, gravitational field where all field lines are parallel. Therefore the gravitational potential causes a relative time dilation"Well, there is every need for us to have a clear idea on what exactly is gravity and how it influences things on the earth. Ok let us discuss about needle of the clock. Let us presume that its weight is 150 milli grams. In this, original weight or mass of the needle is just 25 milli grams only and its gravity weight is 125 milli grams. Originally the metal from which the needle was cut and designed also weighed similarly only. When the metal is cut into small pieces, each piece carried its own weight and gravity weight. From this we can understand that nothing can escape from the influence of gravity. When the gravity weight of a needle is 125 mg, in a total weight of 150 mg, how can we think that needle is not influenced by gravity. Suppose if the clock is in gravity well, its gravity weight naturally increases. When its gravity weight increases, it needs more energy to move the clock and tick rate slows down. Where as on high hill areas, where gravity is weak, weight of the needle also comes down and it is able to move more quickly.
Space time is not pulled or pushed by the matter but by the internal energy of the planet. At the centre of the Earth, where it is releasing lot of Energy, space time is pushed upward and is stretched. But at the poles, where internal energy is almost nil, space time is pulled towards Earth. Though presence of energy is high at the centre, but gravity is low as the fresh energy coming from Earth is pushing the existing energy waves.
"My concept says that if an atom travels from a height H1 to H0, the electron wavefront accelerates, and its wavelength increases. The wavelength increase is associated with a clock rate decrease. The frequency of the electron also increases relative to the initial frequency because the wavefront is faster".Here, your assumption is 100% correct. Keeping aside other things, gravity also mainly depends on the gap in between Earth and space time. The more the gap, pressure of hydrosphere increases on the gravity waves and thus gravity increases. If the gap is small, naturally pressure or force is low. This is the reason, why if we move to high hill areas, gravity weakens and if we move to plain areas gravity increases.