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[4] viXra:2610.0099 [pdf] submitted on 2026-10-27 03:12:20
Authors: Carlos Castro
Comments: 22 Pages.
We explore further the physical implications of Non-inertial Relativity. The spatial-force formalism of Non-inertial Relativity versus the proper-force description is analyzed. It is shown that contrary to what one would expect from the algebraic equation of an elliptic-hyperboloid, due to the constraint $ r = f v $ between the power $ r = { d E/d t }$ and the spatial force $ f = { d p/d t} $, the null-cone condition in phase space leads to the following bounds on the values of $ v $ and the Newtonian force $ f_N = m { d v/ dt} $ given by : $ 0 leq | v | leq c $, and $ 0 leq | f_N | leq b $. The fact that $ | f_N | leq b $ is bounded requires clear modifications to the Newtonian potential cite{Carlos-Newton}. We proceed to explore the group contractions of the pseudo-unitary group $ U(1,1)$ in the $ b ightarrow infty$ limit. After working with $dimensionless$ phase space coordinates one finds that it $does$ lead to Lorentz boosts transformations, in the $ b ightarrow infty$ limit, as expected. If, instead, one works with $dimensionful$ coordinates, the limit $ b ightarrow infty$ does $not$ lead to the standard Lorentz boosts transformations for the energy-momentum variables. There are extra terms that are associated with the semi-direct product of the Lorentz group with an Abelian group (which is not the Poincare group). Similar results were found by cite{Low}. We review the equivalence principle within the context of non-Milgromian modified Newtonian dynamics. An analysis is provided of how Non-inertial relativity points towards a space-time-matter unification. Finally, we conclude with some remarks about future avenues of research.
Category: Quantum Gravity and String Theory
[3] viXra:2610.0096 [pdf] submitted on 2026-10-27 20:36:31
Authors: Mykola Kosinov
Comments: 5 Pages.
A system of cosmological equations has been obtained that allows one to mathematically derive the values of the parameters of the observable Universe with unprecedented accuracy. The system of equations was formed by combining separate cosmological equations derived at different times by renowned scientists. The parameters of the observable Universe are the roots of the system of algebraic equations, which eliminates the ambiguity of their values. The solution to the inverse problem gives the entire package of parameters of the observable Universe with an accuracy close to the accuracy of the gravitational constant G. Mass of the observable Universe: Mu = 1.15348 u202210^53 kg; radius: Ru = 0.856594u202210^26 m; time: Tu = 2.85729 u202210^17 s; cosmological constant: Ʌ = 1.36285u202210^-52 m^-2; acceleration constant (new parameter of the Universe): Ao = 10.4922u202210^-10 m/s^2. All values of the derived parameters of the Universe are verified with high accuracy using fundamental constants well known in physics.
Category: Quantum Gravity and String Theory
[2] viXra:2610.0076 [pdf] submitted on 2026-10-19 12:43:31
Authors: Holger Döring
Comments: 11 Pages.
Developed is a theoretical framework for localized, dynamic spacetime configurations, the definingcharacteristic of which is not primarily a spatial concentration of energy, but rather a locally alteredproper-time structure. The starting point is a self-coupled real scalar field whose energy-momentumtensor generates a spherically symmetric spacetime curvature via the Einstein equations. The localproper time is determined by the time-dependent metric component (g tt ) .Examined then is bothstatic and oscillating configurations, demonstrating that a harmonic evolution of the scalar field—comprising odd harmonic s=s( ω ;3 ω ;5 ω ;...) —is naturally coupled to even harmonics ofh=h(0 ;2 ω ; 4 ω ;...) of the metric. This provides a mathematically precise foundation for anoscillating "time bubble." The frequently encountered ( N=2n+1) structure is identified here as aharmonic structure, rather than being interpreted as an established quantization of proper time.The resulting problem is a nonlinear, self-consistent eigenvalue problem for the scalar field and thespacetime metric. The existence, stability, lifespan, and potential discrete spectrum of such solutionsmust be investigated numerically. In particular, a possible Planck-scale quantization of proper timeis formulated as a testable spectral hypothesis.
Category: Quantum Gravity and String Theory
[1] viXra:2610.0022 [pdf] submitted on 2026-10-06 20:16:24
Authors: Charles Ba Oumar
Comments: 8 Pages.
This paper presents a Vector Gravitational Field Theory asymptotically equivalent to standard Minkowski spacetime in the limit of a classical vacuum. From such a theory we then derive a new definition of rest mass energy as well as an approximation of the quantum of gravitational action via a graviton particle of energy ℎ��proportional to the gravitational charge quantified by matter-energy density and compute solar system graviton energy ranges.
Category: Quantum Gravity and String Theory
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