Four special relativity formulas are commonly cited in the physics literature for . The particular theses propose that when spacetime events near the speed of light then mass increases, time dilates/increases, length contracts, and energy increases.relativistic energyOne thing is certain. The four formulas for special relativity, given the importance of motion (Lorentz Factor) propose a direct relationship not only between mass and velocity. But, they propose a direct relationship among time and velocity; length and velocity; and, energy and velocity. The very procedural division and multiplication of terms against motion (the Lorentz Factor) establishes this belief in said direct relationships.
-Albert Einstein in letter to Lincoln Barnett, 19 June 1948. (quote from L. B. Okun (1989). Cfr., L.B. Okun (1989), "The Concept of Mass", Physics Today, 42(6):31-36. [Source: Wikipedia.com, "Mass in special relativity".]
In that sense, it is not so much the correctness or incorrectness of the formulas that must be addressed, but rather an explanation is required as to why relativists perceive such a direct relationship on all levels of matter-energy in spacetime/motion. They offer no such admission in their work. *
* A mass
[Source: Relativity for Dummies.] When observing the four formulas for special relativity, one may think that the four symbolic formulas yield the same numerical results since they contain the same algebraic/mathematical procedure: a term divided by the Lorentz Factor. In the Lorentz Factor three terms refer to the [m, msame massο, v], and one term c refers to a , that of a photon.distinct massIt is generally stated that as the light photon approaches the speed of light, its mass increases. I find it suspect that relativistic mass, time dilation, length contraction and relativistic energy reflect the same relationship to the same denominator, the Lorentz Factor: (1 - v² /c²) . Note the changes to internal structure vary: increase mass (^{1/2}greater speed infinite mass increase); time dilation (slower/faster clocks); length contraction (greater velocity smaller length); relativistic energy (increase).A conceptual deficiency concerns the fact that length represents a feature of mass. The analysis of the word-concepts/terms to be used is the first step in carrying out a theoretical spacetime/motion analysis. The four concepts in terms of a spacetime/motion analysis relate in the following manner:Space = mass increase, length contraction [missing are width and
height dimensions]Time = time dilationMotion = relativistic energy motion/relationshipOne significant contradiction between the formulas and the theses proposed concerns that between mass and length increase. Why are the four formula the same mathematically, yet the numerical results are different. The mass formula produces incremental values and the length formula produces decremental values. contractionIf the mass of an electron/photon increases as it approaches the speed of light in vacuum, one would expect correspondingly that the time dilation, length, and energy values might increase as well --- given the presence of the same denominator in the different equations and similar terms in the formulae. Given the presence of the same denominator [Lorentz Factor], I would expect the number range for the unknown terms [m ο, tο, Eο, Lο], would necessarily be the same, the same numerical values being produced. For the four special-relativity formulae [mο, Δtο, Lο, mv] reflect the same basic design with the same denominator; each one divided by the Lorentz factor:[m, Δt, L, E] = [mο, Dtο, L Eο,ο]
Note about on-line relativistic calculators:: www.ultimate-theory.com [Special relativity; length
contraction calculator.]: http://Keisan.casio.com calculates the length contraction
of a body moving same relative velocity with
respect to the observer. L = Lογ : www.1728.org Relativistic calculator.: http://hyperphysics.phy-astr.gsu.edu/hbase/relativ/tdil.html©2014 Copyrighted. Charles William Johnson. All rights reserved. |