by crawler » Sat Mar 21, 2020 4:23 am
GRAVITATIONAL TIME DILATION. Einstein said that time dilated near mass. Dilation is proportional to the escape velocity (Ve=(2GM/r)^0.5).
At Earth Ve = say 11.2 km/s. We insert Ve into the equation for the Lorentz time dilation factor (1-VV/cc)^0.5 & we get 0.999 993 048 838 221, which means that an atomic clock ticking at 1,000,000,000,000,000 cps when well away from Earth loses 695,116.18 cps after being transported to our laboratory on Earth. Had our laboratory been 1 m higher then the clock would have lost only 695,116.07 cps, a "gain" of 0.11 cps, which amounts to a gain of 0.0943 nano seconds per day.
EXCEL 15 DIGIT LIMIT. The above calculations are partly beyond the limit of what excel can handle (15 digits), so to get accurate excel numbers i had to multiply the Earth's mass by 10,000, & in the end divide the results by 10,000.
AETHERIAN TIME DILATION. Aether is annihilated in Earth (no proof) & aether flows in to replace the lost aether (no proof), the inflow being at the escape velocity Ve (no proof). If so then the aetherwind (Ve) blowing through the atomic clock is slower when the clock is 1 m higher, & if using the same equations (for Ve)(& for the Lorentz factor) as the Einsteinians then the results are the same too. In which case any clock tests "proving" GTR equally support aetherian relativity. But this analysis is faulty. Keep reading.
70 DEG N & S. However aetherian time dilation isn’t that simple, the Ve aetherwind inflow happens in conjunction with the background etc aetherwind which might be briefly say 500 km/s vertically upwards at some time of day along latitude 70 deg N, or briefly say 500 km/s vertically downwards at some time of day along latitude 70 deg S.
20 DEG N & S. Locations between latitude 20 deg N & 20 deg S will at one time of day have an aetherwind of say 500 km/s that is briefly 100% horizontal.
UPWARDS. Take the case of a vertical aetherwind blowing through the clock at 500 – 11.2 = 488.8 km/s, & this becomes 500 – 11.1999991 = 488.8000009 km/s when 1 m higher, & the clock is then slower, & the clock loses 4.175 ns/day (contrary to Einstein's gain of 0.0943 ns/day).
DOWNWARDS. Take the case of a vertical wind of 511.2 km/s, & this becomes 511.1999991 km/s when 1 m higher, & the clock is then faster, & the clock gains 4.372 ns/day, which is 46.4 times Einstein's gain of 0.0943 ns/day.
SIDEWAYS. Take the case of the aetherwind blowing horizontally through the laboratory at 500 km/s, with an additional component down of 11.2 km/s, or 11.1999991 km/s at 1 m higher elevation. The vector addition is 500.125 104 826 km/s, & is 500.125 104 806 km/s at 1 m, which gives a gain of 0.0956 ns/day (a little more than Einstein's gain of 0.0943 ns/day), & this sideways gain is identical in both hemispheres.
MIXTURE. The background aetherwind blows at approx 500 km/s on some vertical angle tween up & down, together with some horizontal sideways angle from the south or north including up to say 20 deg of sideways angle from the east or west.
AETHERWIND. The aetherwind includes (1) 42 km/s of inflow towards the Sun (measured at Earth's orbit), (2) 30 km/s due to Earth's orbit, (3) 0.4 km/s due to Earth's spin, (4) 11.2 km/s due to Earth's inflow, & (5) a steady background S to N wind of almost 500 km/s.
CLOCK GAIN OR LOSS. Therefore the aetherian clock gain (or in places loss) with elevation (1 m) will vary depending on location & time of day & day of year, & varying tween a loss of approx 4.175 ns/day & a gain of approx 4.372 ns/day.
EINSTEIN. But according to Einstein it is always a gain (never a loss), & at any one location this gain (approx 0.0943 ns/day) never varies with time or date, & is much the same at every location.
TESTS. A number of tests (in the northern hemisphere)(using atomic clocks on hills)(or in the laboratory) have supposedly confirmed Einstein's GTR that clocks tick faster when higher. However aether theory says that in most locations in the northern hemisphere clocks must tick slower when higher. Something smells fishy.
20 DEG NORTH & SOUTH. Locations between latitude 20 deg N & 20 deg S will at one time of day have an aetherwind that is briefly 100% horizontal, at which time the aetherian gain (0.0956 ns/day) will briefly be nearly equal to the Einsteinian gain (0.0943 ns/day). But i think that the few tests that have been carried out have all been outside that zone. So something smells fishy.
FISHY. I will have to have a think about possible reasons why ticking tests might support Einstein & contradict aether theory, ie reasons why the tests are wrong.
[u][b]GRAVITATIONAL TIME DILATION. [/b][/u]Einstein said that time dilated near mass. Dilation is proportional to the escape velocity (Ve=(2GM/r)^0.5).
[u]At Earth Ve = say 11.2 km/s.[/u] We insert Ve into the equation for the Lorentz time dilation factor (1-VV/cc)^0.5 & we get [u]0.999 993 048 838 221[/u], which means that an atomic clock ticking at[u] 1,000,000,000,000,000 cps[/u] when well away from Earth loses [u]695,116.18 cps [/u]after being transported to our laboratory on Earth. Had our laboratory been 1 m higher then the clock would have lost only [u]695,116.07 cps[/u], a "gain" of [u]0.11 cps[/u], which amounts to a gain of [u]0.0943 nano seconds per day[/u].
[b][u]EXCEL 15 DIGIT LIMIT. [/u][/b] The above calculations are partly beyond the limit of what excel can handle (15 digits), so to get accurate excel numbers i had to multiply the Earth's mass by 10,000, & in the end divide the results by 10,000.
[b][u]AETHERIAN TIME DILATION. [/u][/b] Aether is annihilated in Earth (no proof) & aether flows in to replace the lost aether (no proof), the inflow being at the escape velocity Ve (no proof). If so then the aetherwind (Ve) blowing through the atomic clock is slower when the clock is 1 m higher, & if using the same equations (for Ve)(& for the Lorentz factor) as the Einsteinians then the results are the same too. In which case any clock tests "proving" GTR equally support aetherian relativity. But this analysis is faulty. Keep reading.
[b][u]70 DEG N & S.[/u][/b] However aetherian time dilation isn’t that simple, the Ve aetherwind inflow happens in conjunction with the background etc aetherwind which might be briefly say 500 km/s vertically upwards at some time of day along latitude 70 deg N, or briefly say 500 km/s vertically downwards at some time of day along latitude 70 deg S.
[b][u]20 DEG N & S.[/u][/b] Locations between latitude 20 deg N & 20 deg S will at one time of day have an aetherwind of say 500 km/s that is briefly 100% horizontal.
[b][u]UPWARDS.[/u][/b] Take the case of a vertical aetherwind blowing through the clock at 500 – 11.2 =[u] 488.8 km/s[/u], & this becomes 500 – 11.1999991 = [u]488.8000009 km/s[/u] when 1 m higher, & the clock is then slower, & the clock loses [u]4.175 ns/day[/u] (contrary to Einstein's gain of 0.0943 ns/day).
[b][u]DOWNWARDS.[/u][/b] Take the case of a vertical wind of 511.2 km/s, & this becomes [u]511.1999991 km/s[/u] when 1 m higher, & the clock is then faster, & the clock gains [u]4.372 ns/day[/u], which is 46.4 times Einstein's gain of 0.0943 ns/day.
[b][u]SIDEWAYS. [/u][/b] Take the case of the aetherwind blowing horizontally through the laboratory at 500 km/s, with an additional component down of 11.2 km/s, or [u]11.1999991 km/s[/u] at 1 m higher elevation. The vector addition is [u]500.125 104 826 km/s[/u], & is [u]500.125 104 806 km/s[/u] at 1 m, which gives a gain of [u]0.0956 ns/day[/u] (a little more than Einstein's gain of 0.0943 ns/day), & this sideways gain is identical in both hemispheres.
[b][u]MIXTURE.[/u][/b] The background aetherwind blows at approx 500 km/s on some vertical angle tween up & down, together with some horizontal sideways angle from the south or north including up to say 20 deg of sideways angle from the east or west.
[color=#0000FF][b][u]AETHERWIND.[/u][/b] The aetherwind includes (1) 42 km/s of inflow towards the Sun (measured at Earth's orbit), (2) 30 km/s due to Earth's orbit, (3) 0.4 km/s due to Earth's spin, (4) 11.2 km/s due to Earth's inflow, & (5) a steady background S to N wind of almost 500 km/s.
[/color][b][u]CLOCK GAIN OR LOSS. [/u][/b] Therefore the aetherian clock gain (or in places loss) with elevation (1 m) will vary depending on location & time of day & day of year, & varying tween a [u]loss of approx 4.175 ns/day & a gain of approx 4.372 ns/day[/u].
[b][u]EINSTEIN. [/u][/b] But according to Einstein it is always a gain (never a loss), & at any one location this gain ([u]approx 0.0943 ns/day[/u]) never varies with time or date, & is much the same at every location.
[b][u]TESTS. [/u][/b] A number of tests (in the northern hemisphere)(using atomic clocks on hills)(or in the laboratory) have supposedly confirmed Einstein's GTR that clocks tick faster when higher. However aether theory says that in most locations in the northern hemisphere clocks must tick slower when higher. Something smells fishy.
[b][u]20 DEG NORTH & SOUTH.[/u][/b] Locations between latitude 20 deg N & 20 deg S will at one time of day have an aetherwind that is briefly 100% horizontal, at which time the aetherian gain ([u]0.0956 ns/day[/u]) will briefly be nearly equal to the Einsteinian gain ([u]0.0943 ns/day[/u]). But i think that the few tests that have been carried out have all been outside that zone. So something smells fishy.
[b][u][color=#BF0000]FISHY. [/u][/b] I will have to have a think about possible reasons why ticking tests might support Einstein & contradict aether theory, ie reasons why the tests are wrong.[/color]