Science Journals

All truth passes through three stages. First, it is ridiculed. Second, it is violently opposed. Third, it is accepted as being self-evident: Arthur Schopenhauer -- In questions of science the authority of a thousand is not worth the humble reasoning of a single individual: Galileo Galilei -- Science is a wonderful thing if one does not have to earn one's living at it: Albert Einstein -- When you have eliminated the impossible, what ever remains, however improbable must be the truth: Sir Arthur Conan Doyle -- We all agree that your theory is crazy, but is it crazy enough? Niels Bohr -- Whenever a true theory appears, it will be its own evidence. Its test is that it will explain all phenomena: Ralph Waldo Emerson -- Since the mathematicians invaded Relativity, I do not understand it myself anymore: Albert Einstein -- I would say that the aether is a medium invented by man for the purpose of propagating his misconceptions from one place to another: W.F.G. Swann: -- Most of the fundamental ideas of science are essentially simple, and may, as a rule, be expressed in a language comprehensible to everyone: Albert Einstein -- Physics is mathematical not because we know so much about the physical world, but because we know so little: Bertrand Russell -- If I could explain it to the average person, I would not have been worth the Nobel Prize: R. P. Feynman -- I do not feel obliged to believe that the same God who has endowed us with sense, reason, and intellect has intended us to forgo their use: Galileo Galilei -- How dare we speak of the laws of chance? Is not chance the antithesis of all law?: Bertrand Russell -- Only two things are infinite, the universe and human stupidity, and I´m not sure about the former: Albert Einstein -- The glory of mathematics is that you don't have to say what you are talking about: Richard Feynman -- Anything is possible if you don´t know what you are talking about: Author Unknown -- In life, everything is relative - except Einstein´s theory: Leonid S. Sukhorukov -- Don´\'t worry about people stealing your ideas. If your ideas are any good, you´ll have to ram them down people´s throats: Howard Aiken --A day will come undoubtedly when the ether will be discarded as useless: H. Poincaré -- First they tell you you´re wrong and they can prove it; then they tell you you´re right but it isn´t important; then they tell you it´s important but they knew it all along: Charles Kettering -- It is not once nor twice but times without number that the same ideas make their appearance in the world: Aristotle -- The opposite of a true statement is a false statement. The opposite of a profound truth may well be another profound truth: Niels Bohr -- A new scientific truth does not triumph by convincing its opponents and making them see the light, but rather because its opponents eventually die, and a new generation grows up that is familiar with it: Max Planck -- Euclid taught me that without assumptions there is no proof. Therefore, in any argument, examine the assumptions: Eric Temple Bell -- Half this game is ninety percent mental: Yogi Berra

Implications of the ds Interval Under Lorentz Transformations

Author:

Mazzini, Jose Oreste

Category:

Research Papers

Sub-Category:

Relativity Theory

Language:

English

Date Published:

October 31, 2025

File:

/Research Papers-Relativity Theory/Download/10352

Downloads:

Keywords:

mass at rest, observed mass, proper mass, mass invariance, energy invariance, Lorentz transformation

Abstract:

This paper re-examines the invariance of energy and mass under Lorentz transformations by distinguishing between boosts — active transformations involving actual energy changes — and passive transformations, such as translations or rotations, which involve no physical energy ex- change. Building on the author’s previous work, which demonstrated that rest mass remains invariant under active boosts, this study shows that the spacetime interval ds is not invariant in active boosts. In contrast, for passive transformations, ds remains invariant, implying the invariance of proper time and relativistic mass. Additionally, the paper reinterprets electromagnetic waves as entities with non-zero ds corresponding to the wavelength λ = cτ , where τ is the proper time periodicity of energy. Furthermore, the relativistic Lagrangian is redefined, as well, restricting Minkowski’s metric to passive transformations. This interpretation supports the Theory of Space, where the fourth dimension cτ represents energy’s intrinsic wavelength, independent of the observer. Several implications for classical electrodynamics, relativity, quantum mechanics, field theory, and thermodynamics are discussed, suggesting that energy invariance under non-boosted conditions provides a unified four-dimensional (3+1) geometric foundation for modern physics.

<<< Back