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[7] viXra:2606.0090 [pdf] submitted on 2026-06-24 00:16:13
Authors: Nigel B. Cook
Comments: 77 Pages.
The purpose of these brief lecture notes is to provide the basic framework for a course in axiomatically-derived mechanistic quantum field theory, to teach the foundations needed to understand vixra paper 2606.0012. Problems and solutions will be developed for inclusion at a later date, after we have more experience in teaching this course to students.
Category: Quantum Gravity and String Theory
[6] viXra:2606.0089 [pdf] submitted on 2026-06-23 10:33:55
Authors: Holger A.W. Döring
Comments: 10 Pages.
This quantum induced warpdrive is featuring geometric unification of gravity and electro-magnetism in a four-dimensional cylindrical quantum spacetime as a corrugated spacetime-structure via sub-harmonic dilatonic resonance.Presented is a novel geometric framework for the unification of gravitation and electromagnetism strictly within a four-dimensional manifold . Rather than invoking higher spatial dimensions, proposed is, that the three macroscopic spatial axes possess intrinsic, periodic cylindrical degrees of freedom stabilized at the Planck scale . Under this topology, the standard metric tensor inherently encapsulates both gravitational and electromagnetic fields, where spacetime frame-dragging manifests macroscopically as the magnetic vector potential. Particle mass and charge emerge as localized, symmetric quantum wave configurations wrapped around the Planckian cylinders. Furthermore, introduced is a dynamic intermediate scalar field — derived from the local volume fluctuations of the cylindrical radius — which enables a non-linear, sub-harmonic resonance coupling between macroscopic laboratory-scale fields and the Planck-scale geometry. Demonstrated is then, that under precise phase-locked sub-harmonic frequencies, the effective gravitational coupling can be enhanced, leading to localized modulation of inertial mass, optical birefringence of the vacuum, and triggerable metric drift. Possibly this situation could lead to a form of local quantum induced warp-drive without ftl, which is called u201ethe Metagrav" or QUIW .
Category: Quantum Gravity and String Theory
[5] viXra:2606.0088 [pdf] submitted on 2026-06-24 00:12:41
Authors: Osama Haggag
Comments: 8 Pages. DOI: 10.5281/zenodo.20740142
Standard Special Relativity exhibits a fundamental geometric asymmetry: while the instantaneous velocity of a worldline is strictly bounded by the invariant speed of light ( ), its proper acceleration is permitted to diverge infinitely. This unconstrained upper bound introduces severe vulnerabilities into modern field theories, manifesting as divergent particle self-energies and zero-volume coordinate singularities at causal horizons. This framework proposes an operational resolution of this asymmetry by introducing a generally covariant kinematic framework featuring an impassable, invariant upper boundary on proper acceleration ( ) deduced from first principles. By modeling a massive particle’s internal state as a localized quantum wavepacket acting as an intrinsic clock, we demonstrate that uniform acceleration compresses the local Rindler horizon to its geometric saturation limit. To preserve this invariant ceiling across multi-body compound systems, we derive a velocity-independent, non-linear acceleration composition law based on a hyperbolic group structure. By equating the Rindler horizon with the particle's Compton wavelength, we extend the equivalence principle in quantum systems, Planck’s constant is directly inserted into spacetime kinematics. Finally, this framework offers a pure kinematic reinterpretation of the partonic cross-section flattening (gluon saturation) observed at the Large Hadron Collider (LHC) as an intrinsic, structural feature of a bounded quantum vacuum.
Category: Quantum Gravity and String Theory
[4] viXra:2606.0057 [pdf] submitted on 2026-06-15 10:05:00
Authors: Holger Döring
Comments: 8 Pages.
Investigated is a model of spacetime in which fundamental triangles possess not only geometric properties such as area and edge lengths but also internal degrees of freedom representing twist, which encodes their relative orientation with respect to neighboring triangles. While local triangles are flat and consistent, global misclosures can accumulate, acting analogously to holonomies in curved spacetimes. This approach enables the construction of a spin-network-like model in which gravity can be interpreted as a statistical emergent phenomenon arising from these accumulated twists. The concept is inspired by Penrose-triangles: local consistency combined with global twist. Therefore this description is called the Penrose-triangle-ansatz (PTA).
Category: Quantum Gravity and String Theory
[3] viXra:2606.0047 [pdf] submitted on 2026-06-12 23:00:15
Authors: Ruslan Yurkevich
Comments: 7 Pages. Distributed under the arXiv.org perpetual, non-exclusive license.
Context: In canonical quantum gravity, the Wheeler-DeWitt equation suffers from the notorious "problem of the frozen Universe," lacking an explicit time parameter. Methods: This paper introduces a novel pre-geometric quantum cosmological formalisation where the flow of time is an emergent property tracking microscopic transitions. We execute a canonical 3+1 ADM deparametrization of the gravitational constraint using a scalar clock-field (chi ), yielding a dynamic Schrödinger-type equation for quantum gravity. Results: We postulate a non-linear feedback loop where the local clock rate w slows down as the energy density (ho ) increases: (w(ho) = 1/(1 + xi ho)), where (xi > 0) is a universal coupling constant. Semi-classical WKB analysis of the homogeneous FRW mini-superspace reveals a singularity-free "bounce-plateau" state at the Big Bang and within black hole cores. In the low-density limit, this mechanism naturally acts as a dynamic negative pressure component, driving late-time cosmic acceleration without a cosmological constant (Lambda ). Significance: The modified Mukhanov-Sasaki equations predict explicit corrections for primordial perturbations ((n_{s}) and r) that fall precisely within the discovery thresholds of the upcoming CMB-S4 and DECIGO experiments, rendering the model fully falsifiable.
Category: Quantum Gravity and String Theory
[2] viXra:2606.0029 [pdf] submitted on 2026-06-08 00:56:25
Authors: Julinho Jorge Luís
Comments: 20 Pages.
This work proposes a complementary extension of the factorial function to the real line, based on the separation of the bilateral integral of e^(-Ax) into two disjoint domains. For A>0, the classical Gamma function Γ(z) emerges in the right half-plane; for A<0, we introduce the Symmetric Gamma Function Γ ˉ(z)=e^(-iπ(z+1)) Γ(-z), defined in the left half-plane, with poles at the positive integers. The duality between the integral kernels underlies a regularization mechanism for logarithmic divergences: Γ_R (z)=1/Γ ˉ(z-1) and Γ ˉ_R (z)=1/Γ(z+1), replacing each pole by an exact finite value. An alternative real representation B(x)=∫_0^∞e^(-u) u^(-x) du (convergent for x<1) is constructed, together with a trigonometric factor C(x)=2sinu2061(πx)+cosu2061(πx), defining F(x)=C(x)B(x) for x≤0, yielding F(-n)=(-1)^n n!, thereby unifying the complex branch, real regularization, and Laurent expansion formalisms. The relation F(-n)⋅Resu2061(Γ,-n)=1 establishes the fundamental duality, which emerges directly from the construction of the integral kernels. The method is validated in arithmetic progressions, QED, and QCD. The extension to k-loops is systematic via exponentiation: Γ_R^((k) ) (-n)=[(-1)^n/n!]^k. Distinct physical prediction: In d=5 dimensions, the vacuum energy density changes sign — a repulsive force where the MS-bar predicts attraction. This inversion has direct implications for the stability of extra dimensions in string theory and brane models.
Category: Quantum Gravity and String Theory
[1] viXra:2606.0012 [pdf] replaced on 2026-06-04 20:19:31
Authors: Nigel B. Cook
Comments: Corrected contents page links to sections and also a bibliography added.
We construct a complete quantum field theory in which all observed interactions - electromagnetic, weak, strong, gravitational, and cosmological - arise from a single mechanistic principle: energy conservation in vacuum polarization. The theory replaces the ad hoc structure of the Standard Model and the geometric assumptions of general relativity with a unified framework based on the group chain for Euclidean signature SO(3, 3) ~ SU(4) ⊃ SU(3) × U(1)G ⊃ U(2) ⊃ SU(2) × U(1)Y . Matter representations, gauge charges, running couplings, particle masses, gravity, and dark energy all emerge from this structure without arbitrary parameters. This paper is a new presentation of the ideas in vixra paper 1111.0111 dated 2011, with updates, a few corrections, and further development. That earlier paper should still be consulted for further references, graphics and details documenting the origins of the various nascent ideas.
Category: Quantum Gravity and String Theory
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