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Relativity’s Mathematical Inconsistency. Constancy of light speed turns out to be a chaos so inevitably led by relativity. A quotation from the relativity’s paper of 1905:.
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Relativity’s Mathematical Inconsistency Constancy of light speed turns out to be a chaos so inevitably led by relativity.
A quotation from the relativity’s paper of 1905: • Let there be given a stationary rigid rod; and let its length be l as measured by a measuring-rod which is also stationary. We now imagine the axis of the rod lying along the axis of x of the stationary system of co-ordinates, and that a uniform motion of parallel translation with velocity v along the axis of x in the direction of increasing x is then imparted to the rod. • The word then must signify a time instant that allows us to give it a mathematical meaning, such as t=0.
Two Possible Views at exactly t=0 • Assuming v=0.8c, viewed by observer on the x axis
Inexplicable movements • Movement 1: At exactly t=0, how has the pointx’=3moved from x=3 to x=1.8? • Movement 2: How should speed be defined as origins change locations at different paces?
Two moving frames, three speeds An observer on x axis with his location unchanged on x, i.e., x1=x2, his movement on the x’ axis will result in
With which speed do frames pass each other? • Which of the above speed expression is more valid? • v’ can go to any value with the equation on the left as v approaches c; v has a limit of 0.5c at v’=0.707c if we take (dv/dv’) with the equation on the right.
Light’s Speed in Question • Let all l=1 l-s (light-second) as the rest length for all line segments, and let the view of movement be presented by an observer on frame A.
Speed of light = 2.77c • A point on B that shares the same light wave front with A1 (=-1 l-s) is -3 l-s, the other point at the other end is -0.3333… With 0.6 second of time lapse to cover this range, light must have a speed of 2.77c
Speed of light = 0.36c • With time interval of one second on the A frame but 0.6 second on the B frame, light sphere expands at speed of 0.36c on the A frame. With respect to the A frame, the light sphere just behaves like a sound sphere.
Two Possible Measurements An observer on frame A can be led to have different values for a length identified by A1 and B2 on his frame.
Equation Set in Textbooks • In the following set, all a’s are unknowns.
Another Quotation • Let a ray of light depart from A at the time t A, let it be reflected at B at the time t B, and reach A again at the time t’ A. Taking into consideration of the principle of the constancy of the velocity of light we find that • Eq. 1 and Eq. 2 • Where r AB denotes the length of the moving rod measured in the stationary system.
Eq. 1 is for c and v in the same direction; Eq. 2 is for c and v in opposite direction.
“Perfect sphere” of light • When an observer looks at how the sphere of light enveloping the x’ axis, eq. 1 from the quoted text enables him to get r+ and eq. 2 to get r- (all r’s in absolute values)
What the observer on x concludes Equation 1 must enable him to have t=r+ /(c -v) while, with the same amount of time, equation 2 must enable him to have t=r- /(c +v).Subsequently he must have
What both observers must agree • The observer on the x’ axis must see r+=r-, or (r+ /r-)=1. Even if the concept of length contraction is brought in to force the two observers to take different values for r+(orr-), it should not affect the ratio of (r+ /r-) because thecontraction factor must be canceled out in the ratio. So regarding such ratio, they must have
Only Good for No Movement • The above relationship can hold only if v=0. In other words, the perfect sphere of light that the textbooks introduce will restrict the equation set to be solved with the condition of v=0. Whatever this equation set leads to is only good for v=0 between the two “moving” frames.
Review (I) on Original Paper of (1905) Few essential equations in The Paper
Review (II) on Original Paper of (1905) • rAB has a rest length of L For observer on x axis For observer on ξ axis
Review (III) on Original Paper of (1905) • Observer on ξ axis says: • Observer on x axis says:
Review (IV) on Original Paper of (1905) • Using x2to settle argument
Review (V) on Original Paper of (1905) • The ξ observer sees light on rAB moving through a round trip distance of • The distances made by light back and forth are equal. • Light returns to the same point.
Review (VI) on Original Paper of (1905) • The xobserver sees the emitted light moving through a bigger distance than the reflected light. • Light will not return to the emitting point. • The use of coordinate x and x’=x+vt means that light has to return to where it starts.
Review (VII) on Original Paper of (1905) • The distance of x2 leads both observers to agree on one equation:
Review (VIII) on Original Paper of (1905) • Allowing c=nv, equation in Review (VII) evolves into
Review (IX) on Original Paper of (1905) • Relativity’s most fundamental equation enables all of the following interpretations, depending on one’s opinion, or faith:
Review (X) on Original Paper of (1905) A perplexity needs answer from the fundamental equation: He who summarizes the following equation from his observation is not with rAB, orξ axis: and In comparison, he who summarizes the following equation from his observation should not be found to be with the x axis: and Then, who else?
Review (XI) on Original Paper of (1905) • Could he be the observer on the ξ axis ? No. The right side of the fundamental equation portrays that he who is with the ξ axis must see the light to complete a round trip of two equal distances in his frame: or Now, the fundamental equation can only be jotted down by a nonexistent observer from a “ghost” frame.
Defining Straight Line (1) (A’~B’) is an exact duplicate of (A~B) In a 3-D space.
www.aquasoil.net • You are cordially invited to visit www.aquasoil.net • A third version of about 5 pages disagreeing relativity is found in the book Aqua Soil. • The book is free for current NPA members.
