Special Relativity Entirely New Explanation

Transcription

1 Speial Relatiity Entirely New Eplanation Mourii Shahter ISRAEL, HOLON Introdution In this paper I orret a minor error in Einstein's theory of Speial Relatiity, and suggest a new approah to takle problems in this area of physis. Propose of this paper is to understand what is mass. I suggest, to read this paper arefully beause the minor error is in the foundation of physis. And a little part of the big struture that was built on those foundations is going to rash. Definitions m, m Rest mass and moing mass speed of light mass eloity relatie to the lab β slip L X Indutane 1///1 Speial Relatiity Entirely New Eplanation - Mourii Shahter mourii@gmail.om, mourii@walla.o.il Israel tel

2 Hidden Parameters in Speial Relatiity Aording to Speial Relatiity, when a partile with rest mass m (energy) moes, its energy (mass) m is growing aording to m 1] m 1 β If both side of Eq. 1 are multiplied by a onstant α and squared, and then the result is diided by jω we get an equation that still obey Einstein's Eq. 1 but look different. ] let define 3] α m 1 α m α m α m 1 α m jω jω 1 β jω jω jω 1 β 1+ β 1 α m 1 1 1, α m, α m, α m L L L L + + Eq is ombined with the definitions in Eq. 3 4] jω L jω L jω L jω (1 β ) L jω (1 + β ) L + From 3 it is well understood that 5] 1 1 jω L jω β L ( 1 ) 1 1 jω L jω β L ( 1+ ) + It is laimed that Eq 4 ontain an error aording to the laws of Eletriity he indutors impedanes is deried from Eq. 5 as follows 6] Z jω L ( 1 ) ( 1 ) Z jω L jω β L Z jω L jω + β L + + Z jω L Voltages and urrents must obey Ohm's law for alternating urrent, so; ///1 Speial Relatiity Entirely New Eplanation - Mourii Shahter mourii@gmail.om, mourii@walla.o.il Israel tel

3 7] I I I V V Ve ( ω t) j Z jωl jωl + ( ω (1 β ) t) j V V V Ve Z jω L jω (1 β ) L jω (1 β ) L ( ω (1 + β ) t) V+ V+ V+ Ve Z jω L jω (1 + β ) L jω (1 + β ) L + + j If we ombine Eq. 7 with the wrong Eq. 4 we get the physially orret equation and eliminate Einstein mistake 8] ( ω (1 β ) ) ( ω (1 + β ) ) j t j t V V+ V V+ Ve Ve I I + I Z Z jω L jω L jω (1 β ) L jω (1 + β ) L + + Eq 8 enable us to ompute also the power in eah impedane. Aording to Alternating urrent rules (for effetie oltage and urrent) the omple power is gien by 9] * S P+ jq V I herefore 1] S S + S jq jq + jq V I + V I * * S jq V I * Minimum power ours when β beause 11] S < S + S + So he eletrial iruit in the following piture desribe Speial Relatiity behaior for a single mass ill now we thought that mass is "partiles mass or graitation", a separate area in physi but now on "mass" is something that behae like "indutane" whih means that Speial Relatiity is an eletromagneti phenomena. 3///1 Speial Relatiity Entirely New Eplanation - Mourii Shahter mourii@gmail.om, mourii@walla.o.il Israel tel

4 V Ve ω β I + V Ve ω β + I j (1 ) t j (1 + ) t jω (1 β) L jω (1 + β ) L V Ve ω j t I jω L Suh a phenomena desribed aboe our in "wae guides", "transmission lines", and "aities". In the last setion of that paper I will eplain a bit more the eletri iruit in the piture and eplain why the unierse is a aity. Inside that aity all the waes moe with the same eloity in any diretion (Einstein assumption). And produe standing waes. When the mass try to moe through a standing wae we get Speial Relatiity (eplained in the last part of that paper) Mutual Indutane And Newton's theory of graitation Mutual indutane ours when the hange in urrent in one indutor indues a oltage in another nearby indutor. It is important as the mehanism by whih transformers work, but now I am going to show that graitation is mutual indutane between planets stars and galaies Mutual Indutane M I I V Ve ω j t L1 L Z L M κ L L 1 Aording to Newton's theory of graitation 4///1 Speial Relatiity Entirely New Eplanation - Mourii Shahter mourii@gmail.om, mourii@walla.o.il Israel tel

5 and from Eq. 3 far aboe m m F G r 1 m1 m α L α L 1 So the Newton fore between two slow moing stars is F G r α L 1 L if we define the mutual indutane of two planets to be hen Mˆ 1, α L L G 1 1 F Mˆ 1, r this is only an eample how to use mutual indution in planetary motion. he proess an be applied to Shwarzshild radius and blak holes if the terms with β are taking into aount the problem will be soled with relatiity. 5///1 Speial Relatiity Entirely New Eplanation - Mourii Shahter mourii@gmail.om, mourii@walla.o.il Israel tel

6 he unierse as a one big aity A short introdution to ransmission lines o understand what happens in a "transmission line" let eam; Relatie Galilean Moement Suppose a hopper fly aboe a highway. If the hopper eloity is to the right, the pilot laim that the eloity of the ars moing to the right is and ars moing to the left are at a higher eloity+. 6///1 Speial Relatiity Entirely New Eplanation - Mourii Shahter mourii@gmail.om, mourii@walla.o.il Israel tel

7 Wae Moing in Opposite Diretions and Standing Waes (hopper and Vehiles desribe mathematially) z y w( t, ) A os( k( t)) t z y w( t, ) A os( k( + t)) he following equation w t A k t al Ae j( k ( t )) (, ) os( ( )) Re ( ) Desribe a osine wae moing along the diretion from left to right While w( t, ) A os( k( + t)) Desribe a wae moing in the opposite diretion from right to left In order to find the wae diretion, we know that os( ϕ) 1 when ϕ So for the wae moing along the positie diretion w( t, ) A os( k( t)) ϕ means t or t For the wae moing along the negatie diretion w( t, ) A os( k( + t)) ϕ means + t or t 7///1 Speial Relatiity Entirely New Eplanation - Mourii Shahter mourii@gmail.om, mourii@walla.o.il Israel tel

8 A standing wae is a wae in whih its amplitude is formed by the superposition of two waes of the same frequeny propagating in opposite diretions. w( t, ) w( t, ) + w( t, ) w( t, ) A os( k( t)) + A os( k( + t)) Aos( k) os( kt) Aos( k) os( ωt) Waes under Galileans ransformation Now, suppose that an obserer O (the pilot of the hopper) is moing with eloity in the positie diretion of. his position relatie to the ais is gien by (look again on the piture aboe) he moing obserer + t O will see the osine wae as follow w ( t, ) A os( k t)) A os( k( + t) t)) A os( k k( ) t)) w ( t, ) A os( k+ t)) A os( k( + t) + t)) A os( k + k( + ) t)) ω Now, if and β we an write the aboe equation from the point of k iew of the obserer, as follow; w ( t, ) A os( k k( ) t)) A os( k k(1 ) t)) A os( k ω(1 β ) t)) w ( t, ) A os( k + k( + ) t)) A os( k + k(1 + ) t)) A os( k + ω(1 + β ) t)) he obserer sees another frequeny ω ω ( ± β ) he standing wae is the sum of the waes that moe to the right and to the left w( t, ) w( t, ) + w( t, ) w( t, ) A os( k ω (1 β ) t)) + A os( k + ω (1 + β ) t)) w( t, ) A os( k ω t+ ω βt) + A os( k + ω t+ ω βt) Aos( k + ω βt)os( ω t) w( t, ) Aos( k + kβt)os( ωt) Aos( k + kt)os( ωt) Aos( k( + t)os( ωt) But, + t herefore, w( t, ) Aos( k( + t) os( ω t) Aos( k)os( ω t) w( t, ) 1 What we see is that the obserer moes to the right, from his point of iew. he standing wae eists and moes to the left beause + t t 8///1 Speial Relatiity Entirely New Eplanation - Mourii Shahter mourii@gmail.om, mourii@walla.o.il Israel tel

9 he transmission line model of Speial Relatiity oaial ables are transmission lines, used to transmit eletrial information at ery high frequenies in able V and Internet he simplest transmission line is win-lead is a form of parallel-wire balaned transmission line. I use the twin lead transmission line to eplain S.R In the piture below (piture A) a transmission line is onneted to a sinusoidal oltage soure. he transmission line is terminated with an adequate resistor. And a standing wae is reated along the transmission line. It was proed that a standing wae is a superposition of two waes moing in opposite diretions, eah wae with eloity. So instead of one ransmission-line, I use two One for the wae going from left to right, (piture B) And one for the wae going from right to left. (piture ) Now I onnet an Indutor L to the transmission line In suh a way that the indutor an slide along the transmission line. he indutor an moe to the right with eloity while keeping an eletrial onnetion with the transmission line (see piture B and ). he indutor is the obserer O (the pilot of the hopper) When the indutor L whih desribe rest mass in the S.R model does not moe the ( t k) j oltage on its terminal is in piture B is Ve ω right ( ) ( ) ( ) and when the indutor moe to the j ωt k ( + t ) j ωt kt k j ω (1 β ) t k + t So Ve Ve Ve and the net oltage on he indutor terminals is Ve jω (1 β ) t In piture B and the indutors moe in the same diretion the indutors are onneted with the green line and represent one mass. But in piture the wae moe in the opposite diretion + t so ( ω + ( + )) ( ω + + ) ( ω (1 + β ) + ) j t k t j t kt k j t k Ve Ve Ve And the net oltage on the indutor terminals is Ve jω (1 + β ) t 9///1 Speial Relatiity Entirely New Eplanation - Mourii Shahter mourii@gmail.om, mourii@walla.o.il Israel tel

10 ( ω ) ( ω ) ( t, ) Ve + Ve j t k j t k L A ( t k) j ( t, ) Ve ω λ L B j( t k) ( t, ) Ve ω + L our unierse is a spherial aity with an alternating homogenous field j( ωt k) j( ωt k) ( t, ) Ve + Ve that moe in any diretion With many frequenies and the masses (partiles planets and galaies) moe in that field as desribed in this paper and what we measure is a behaior aording to speial Relatiity onlusions 1. he " ransmission Line" is what we all "Spae time". One dimension Unierse behae like a transmission line, in three dimensions the unierse behae like a spherial aity, all the stars and galaies are in that aity. 3. Our unierse is almost empty so it is almost homogenous. 4. For eample, In Quantum Mehanis Perturbation theory we sole perturbation in a bo. Planets, galaies et are perturbation in the unierse aity. So Quantum Mehanis and Relatiity are similar theories. 1///1 Speial Relatiity Entirely New Eplanation - Mourii Shahter mourii@gmail.om, mourii@walla.o.il Israel tel