In this paper, we present an explicit derivation of the spin-precession frequency vector for relativistic charged particles moving in a planar orbit within a uniform magnetic field $\vec{B}$ under the framework of Alternative Relativistic Mechanics (ARM). Assuming that the kinematic Lorenz factor $\gamma$ of muon orbiting in a macroscopic storage ring does not modify its static rest-frame spin magnetic dipole moment, we formulate the modified relativistic equation of motion and evaluate the combined effect of Larmor precession, Thomas precession, and cyclotron orbital motion. Unlike the Standard Model---where the anomalous precession frequency is $\gamma$-independent in a purely magnetic field $\vec{B}$---ARM predicts an explicit Lorenz factor $\gamma$ dependence proportional to the non-dimensional coupling parameter $\alpha_{\mu}$. We provide concrete quantitative predictions for the upcoming J-PARC muon g-2 Experiment ($E=0$, $p=300\,\text{MeV}/c$, $B=3.0\, \text{T}$), demonstrating how J-PARC's distinct low-momentum regime serves as a definitive experimental test to distinguish ARM dynamics from standard Special Relativity dynamics.
It is commonly believed that QM and GR are incompatible as shown via few plausible arguments. What is not common however, is that the first papers on QM by Heisenberg (1925) and that on GR by Einstein (1915) start from the same premise- That is; particles experience force/acceleration resulting from the local gradient of energy density. The two theories diverge considerably afterwards using different mathematical tools to achieve their specific goals. This well based common origin is the very reason why these two monumental theories appeared to reproduce accurate practical results when applied to various physical problems. That is despite looking incompatible and even counterintuitive at times. The large number of correct results must also point to a further area of similarity. This comes from Tylor’s theorem of algebra which states that knowing the values of a function and its derivatives should point to the same functional form. In this work we first expose the common origin of QM and GR, then point at the different mathematical routes taken by each to make them look so different. We next examine the common reasons supporting the claims of incompatibility. But we also try to determine if these are unfounded or possibly misunderstood standpoints- supported by diagrams and algorithms. It is hoped that this work can divert mostly negative efforts to prove incompatibility, into positive efforts exploring the common grounds between the two theories and benefit from it.
Today’s understanding of the information relates information to elementary particles. Recent research suggests that there is around 6 × 1080 bits of information stored in all the particles of the observable universe. The open question is how this information stored in particles is related to space and time. We have experimental evidence that particles exist in space, and we do not have experimental proof that particles exist in some physical time that is the 4th dimension of space. Several studies deny the existence of physical time. Non-physicality of time opens a new perspective where time is only information that exists in the space, which itself is timeless, we can say time-invariant. Elementary particles move, and irreversible material change runs in the time-invariant space. On the micro and macro scale, there is no physical past, and there is no physical future. Time is only information of motion and the numerical order of changes. The model of time as an information unit quantum world with cosmology. Particles and stellar objects all move in the same time-invariant space, and time is the numerical order of their motion. The universe does not exist in some physical time; it exists in a time-invariant space. Linear time past-present-future exists only in the human mind.
In this paper, we examine the division of forces into internal and external components and explore their connection to the conservation of energy across various branches of physics, including classical mechanics, electromagnetism, quantum mechanics, and the theories of special and general relativity. While the partitioning of forces is a well-established concept in classical mechanics, it is often overlooked or inadequately addressed in other areas of physics. This oversight has significant implications for our understanding of fundamental physical principles and may influence the development of future technologies.
he study of the minimal coupling of scalar field with gravity in a general comoving spherically symmetric system is reconsidered. Spherical symmetry implies the independence of the field on the angular variables and the equivalence of the consistency of Einstein equation condition to the vanishing of the divergence of the energy momentum tensor of the scalar field. The explicit system of equations is reduced to the solution of a Kepler like equation coupled to the scalar field equation. The equations are studied in the special case in which the scalar field is massless and depends only on the time coordinate. As a consequence the complexity of the system of equations strongly reduces. The equations can be finally integrated by variable separation. By using the asymptotic behaviors of the explicit solution for the physical radius one can see that the the induced cosmological model shows an inflation at short time and a constant expansion velocity at large time.
