Abstract:
The mass-energy relation E=mc2 has a dual origin, one grounded in the postulate of the existence of an aether made of "ultramondane particules" moving in space at the speed of light, c; the other, a consequence, first deduced by Henri Poincare, of John Poynting's electromagnetic Theorem.

Abstract:
It is shown that Einstein’s proof for E = mc2 is actually incomplete and therefore is not yet valid. A crucial step is his implicit assumption of treating the light as a bundle of massless particles. However, the energy-stress tensor of massless particles is incompatible with an electromagnetic energy-stress tensor. Thus, it is necessary to show that the total energy of a light ray includes also non-electromagnetic energy. It turns out, the existence of intrinsic difference between the photonic and the electromagnetic energy tensors is independent of the coupling of gravity. Nevertheless, their difference is the energy-stress tensor of the gravitational wave component that is accompanying the electromagnetic wave component. Concurrently, it is concluded that Einstein’s formula E = mc2 necessarily implies that the photons include nonelectromagneticenergy and that the Einstein equation of 1915 must be rectified.

Abstract:
in this work, we present four known deductions of the equation e = mc2, including the original. we relate the physical concepts and the mathematical tools in each case and compare the deductions. after the analysis, we verify that three deductions are accessible to the student of the secondary education.

We show that
Einstein’s famous formula E = mc^{2} is actually the sum of
two quantum parts, namely E = mc^{2}/22 of the quantum particle
and E = mc^{2} (21/22) of the quantum wave. We use first Magueijo-Smolin’s
VSL theory to derive the relevant equation and then validate our results using ’tHooft-Veltman’s
dimensional regularization. All in all our result confirms the COBE, WMAP,
Planck and super nova cosmic measurements with astonishing precision.

Abstract:
The equal headway instability phenomenon is pervasive in public transport systems. This instability is characterized by an aggregation of vehicles that causes inefficient service. While equal headway instability is common, it has not been studied independently of a particular scenario. However, the phenomenon is apparent in many transport systems and can be modeled and rectified in abstraction.

Abstract:
Present physics theory deems that the inertial mass characteristic of matter is the result of the interaction of that matter with a newly defined additional field called the Higgs Field after its principle researcher. Stated briefly, the Higgs field mechanism endows "gauge bosons" in a "gauge theory" with mass, through absorption of "Nambu-Goldstone bosons" arising in spontaneous "symmetry breaking". Present physics theory deems that the gravitational mass characteristic of matter is the result of that matter "curving" or "warping" space and time according to the matter's presence through a mechanism not yet discovered nor defined. Present physics recognizes that inertial mass and gravitational mass are equal as an empirical fact based on highly precise experiments. But, for example, the Earth in its orbit around the Sun experiences attraction toward the Sun involving its gravitational mass, mg, and simultaneously experiences that attraction balanced by Earth's orbital centripetal force involving its inertial mass, mi. G M mg / r^2 = mi v^2 / r That the matter of planet Earth is being endowed "gauge theory bosons with mass through absorption of Nambu-Goldstone bosons symmetry breaking in a Higgs Field" while simultaneously "warping or curving its region of space" is beyond the unreasonable and is simply inconceivable. The resolution of this issue and phenomenon is presented in the following.

Abstract:
The E\"{o}tv\"{o}s experiment on the verification of equivalence between inertial mass and gravitational mass of a body is famous for its accuracy. A question is, however, can these experimental results be applied to the case of a physical space in general relativity, where the space coordinates could be arbitrary? It is pointed out that it can be validly applied because it has been proven that Einstein's equivalence principle for a physical space must have a frame of reference with the Euclidean-like structure. Will claimed further that such an overall accuracy can be translated into an accuracy of the equivalence between inertial mass and each type of energy. It is shown that, according to general relativity, such a claim is incorrect. The root of this problem is due to an inadequate understanding of special relativity that produced the famous equation $E=mc^2$, which must be understood in terms of energy conservation. Concurrently, it is pointed out that this error is a problem in Will's book, `Theory and Experiment in Gravitational Physics'.

Abstract:
A search for the Higgsstrahlung process ${\rm e}^+{\rm e}^- \to {\rm HZ}$ is carried out, covering decays of the Higgs boson into any quark pair, a gluon pair or a tau pair. The analysis is based on the $630 {\rm pb}^{-1}$ of data collected by the ALEPH detector at LEP at centre-of-mass energies from 189 to 209 GeV. A 95% C.L. lower mass limit of 109.1\mc2 is obtained for a Higgs boson cross section equal to that expected from the Standard Model if the Higgs boson decays exclusively into hadrons and/or taus, irrespective of the relative branching fractions.