experiment
Einstein remarked that his biggest mistake was about a cosmological constant factor. This however is not true as he could have deduced himself. A more important failure made a hundred years ago still dominates a large part of the scientific world.
The american Feynman put the question whether E + U = 0, whether the total energy in the universe plus the gravitational potential of all its mass equals zero. Using the corresponding formula and simplifying a relation beween c, the speed of light and r, distance, results. Unknown is where the centre of the universe is situated with for mathematical purposes assuming there too the centre of all masses. Thus the quantity of r cannot be expressed. But near Earth a minimal change of gravitational potential by moving away from the planet causes change of local r and thus of c if Feynman's formula is right. The speed of light decreases going away from the Earth mass. This is in agreement with the fast processes in the early very concentrated universe. Einstein took in his early years constancy of c only as a working hypothesis. None acceptable proof supports this idea up today. From that supposed constancy result black holes and slower second near mass. In 2003 Vasily Yanchilin explained in his book The Quantum Theory of Gravitation how a photon obeys the principle of least action. Near mass it seeks a path with as big steps (oscillations of lower frequency) as possible and a minimum of these. Observed is not a route quite near mass but at some distance where then time must run slower to get those oscillations of lower frequencies. Such is confirmed by images from distant stars (as passing lenses). In the Canadian Journal of Pure and Applied Science Yanchilin refers to Poincaré, who suggested to use euclidian geometry with varying unit of length instead of the difficult Riemann method. Indeed near mass the unit of length can be interpreted as shrinking and causing more compact atoms. So emitted light needs more energy, will have higher frequencies. On his site top-formula.net Yanchilin proposes an experiment with two atomic clocks at different height, thus in environments with different g, the gravitational factor near Earth. NIST, the american research institute, maintains it has an atomic clock with only a second deviation in a billion years. Of course this must be precize to a billionth of a second because in the universe things change. Reading atomic clocks on Earth and in satelites the latter appeared to run faster, had more ticks per second. But a mistake was made: Starting from Feynman's supposed formula with as consequence shorter duration of the second on Earth than in planes or satelites an adjustment is necessary: To the number of ticks on the clock below have to be added the ticks in the period that the second above surpassses the one below.
So the experiment, which I think could be performed on the beach and on the nearby 700 m high vulcano of the quiet island Saba, consists of counting the number of ticks during a few weeks below at sea level and up on the mountain. After which both clocks are brought to a same spot to compare the readings. This should confirm that Einstein was wrong with constancy of the speed of electro-magnetic waves in time and space. By the way we see the stars shining very bright. If photons travel as particles (space must have enough room) no diffusion will occur. Of particles it is more readily accepted that speeds may change.
If somebody discerns hidden factors regarding the experiment then please report.
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