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[8] ai.viXra.org:2609.0076 [pdf] submitted on 2026-09-28 20:41:11
Authors: Michael Heilmann
Comments: 30 Pages. In German
In this paper, an 8x8 tensorial metric is constructed—using both the 4x4 Dirac matrices and their corresponding temporal and spatial 2x2 Pauli components—to serve as a scalar substitute for the standard single-component dimensions; the resulting field equation is intended to be basis-invariant and consistent with General Relativity. This is achieved without abandoning or inconsistently altering the smooth Minkowski metric of the Dirac equation; instead, the inertial frame determined by the Dirac matrices—along with the aforementioned 8x8 metric—is maintained alongside the spacetime-curved inertial frame. Following the evaluation and characterization of this specific metric, temporal-energetic and spatial-momentum separations—as well as their hybrid interrelationships—are established; these are then systematically developed into a field equation for quantum gravity using factors, wave functions, Lorentz gamma factors, temporal and spatial derivatives, and their corresponding operators and tensors. The author now presents this universal equation of quantum mechanics for appropriate discussion and falsification.
Category: Quantum Gravity and String Theory
[7] ai.viXra.org:2609.0070 [pdf] submitted on 2026-09-27 21:40:59
Authors: Nigel B. Cook
Comments: 10 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references!)
This paper expands the mathematical scaffolding of a fully predictive, parameter-free gauge field theory unifying quantum gravity and electroweak mass generation. Rather than introducing unobserved spatial dimensions or fine-tuned scalar fields, all observables emerge from the compression dynamics and projections of an $SU(4)$ vacuum. We detail the coordinate-explicit Lie algebra isomorphism mapping su(4) onto the pseudo-orthogonal algebra so(3,3) constructing the physical link between electroweak sectors and the global spacetime fabric. (This new approach was suggested by a review of vixra papers by Google AI, and then error corrected and redrafted Copilot AI, before being rewritten by author. It is not a complete textbook, but is designed to introduce key concepts in a brief 10 page format that is written in a style more understandable by AI systems than previous papers.)
Category: Quantum Gravity and String Theory
[6] ai.viXra.org:2609.0046 [pdf] submitted on 2026-09-22 00:26:50
Authors: Nigel B. Cook
Comments: 21 Pages. (Note by viXra Admin: Please cite and list scientific references other than self-reference))
This paper is a follow-up on https://ai.vixra.org/abs/2608.0002 addressing the emergence of standard model type gauge group from Robert A. Wilson's suggestion of discrete quantization group SL(4,R). Quantum fields emerge as hydrodynamic limits of dense networks of discrete spinor transformations, an application of the basic concept of spin foam vacuums as the ground state of loop quantum gravity. Spin foam vacuums were suggested to explain how a smooth, classical macroscopic geometry emerges as an effective average coarse-graining to an underlying discrete vacuum. This paper thus applies the basic concept of loop quantum gravity's ground state spin foam vacuum to obtain approximately the continuous gauge groups of the standard model from an underlying discrete Wilsonian SL(4,R) group. It is not intended to make specific predictions; just to show compatibility of mathematical techniques. The mathematics in this paper have been proof checked by Microsoft Copilot AI, since human "peer reviewers" are unavailable at present.
Category: Quantum Gravity and String Theory
[5] ai.viXra.org:2609.0045 [pdf] submitted on 2026-09-21 16:38:06
Authors: Preda Daniel Georgel
Comments: 212 pages, 60 conceptual illustrations, and 40 scientific references. English-language theoretical monograph. AI assistance is fully disclosed in the manuscript.
Helical geometrodynamics is presented as a theoretical framework in which systems, transport, geometry, memory, and interaction are analyzed through coherent helical flows. The volume does not seek to replace experimentally validated physical theories. Instead, it investigates whether a common descriptive level can be constructed from vortex tubes, the IN—path—OUT architecture, and geometric adaptation. It introduces the Preda descriptors Cc = dQ/dt, Cf = rvt², and Ce = r³f², together with the independent rotational descriptor Cr, the helical ratio η = va/vt, axial direction, chirality, and phase. The relation Cf = 4π²Ce is treated as an algebraic identity when vt and f refer to the same local rotation, whereas α = CeCf/Cc² remains a derived ratio and a hypothetical filter rather than a sufficient coupling criterion. On this basis, the volume formulates four candidate interaction kernels and develops the concepts of geometrodynamic memory, the Fundamental Torsion Wave (F.T.W.), structural emission and absorption, polarization, axialization, and the Σgd transition regime. Extensions toward light, particles, gravity, cosmology, and living systems are explicitly identified as hypotheses or analogies. The central contribution is an operational research program based on defined observables, comparison with standard models, preregistered predictions, uncertainty analysis, and falsification criteria. In its present form, the work is a falsifiable conceptual framework and research program, not an experimentally validated physical theory.
Category: Quantum Gravity and String Theory
[4] ai.viXra.org:2609.0035 [pdf] submitted on 2026-09-14 20:17:56
Authors: Tatarov Evgeniy
Comments: 19 Pages.
This paper presents the Dynamic Vacuum Relaxation Theory (DVRT) — a complete,self-contained relativistic theory of gravity in which dark matter phenomenology and cos-mic acceleration arise not from undiscovered particles or fine-tuned constants, but fromthe quantum structure of the de Sitter vacuum. By exploring the spontaneous breaking of conformal symmetry SO(2, 4) → SO(1, 3) at the Hubble scale, we demonstrate that a scalar dilaton field Θ and a special conformal vector field Aµ emerge naturally as geometricdegrees of freedom. The scalar field is identified as an effective hydrodynamic condensate of fundamental fermionic fields on the dS4/CF T3 boundary. We derive all parameters from first principles, including the Milgrom acceleration scale a0 = cH0/6 ≈ 1.135 × 10−10 m/s2 and the universal coupling constant β = 1/6. The theory reproduces flat galaxy rotationcurves, the baryonic Tully-Fisher relation, and the Radial Acceleration Relation without freeparameters, while passing all Solar System, binary pulsar, and strong-field precision tests.Unique falsifiable predictions for upcoming cosmological surveys are discussed.
Category: Quantum Gravity and String Theory
[3] ai.viXra.org:2609.0012 [pdf] submitted on 2026-09-07 17:56:27
Authors: Andreas G. E. Scharfenberg
Comments: 9 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
This position paper introduces the Theory of the Global Universe (GU), an ontological and causal framework that resolves the boundary singularities inherent in General Relativity (GR) by replacing the premise of dynamic spacetime with a strictly rigid, infinite Euclidean continuum. Within this framework, physical interactions are governed by the continuous dynamics of energetic potential differences (Kinetic Base Tension) rather than geometric curvature. The model ontologically redefines mass not as a fundamental substance, but as a topological boundary surface effect resulting from the localized phase transition of translational vector flows into closed three-dimensional lemniscates (Cassini ovaloids of revolution). By applying this purely Euclidean continuum mechanics, the GU theory provides a deterministic causal mechanism for phenomena such as time dilation and the cosmological constant. Furthermore, it offers a geometric resolution to the empirical Proton Radius Puzzle, demonstrating that the anomalous scattering radii (0.877 fm and 0.841 fm) naturally correspond to the dual structural radii of the primary soliton's unperturbed envelope surface.
Category: Quantum Gravity and String Theory
[2] ai.viXra.org:2609.0011 [pdf] submitted on 2026-09-06 20:04:08
Authors: Srinivasulu Charupally
Comments: 20 Pages.
The Acceleration Theory, a novel concept explored in this research paper, challenges the classical and quantum theories to elucidate the accelerating expansion of the universe. While the constancy of mass for subatomic particles over time and the existence of various matter particles, including Dark Matter (DM), Anti-Matter (AM), and regular matter, are well-established, the origins of these particles and the driving forces behind cosmic expansion remain intriguing questions. This work delves into the theoretical foundations of how Dark Matter, Anti-Matter, and regular matter particles were generated in the early universe, unraveling the cosmic mechanisms that led to their existence and the compelling phenomenon of universal expansion. Secondly, addressing the finiteness of the speed of light, this research explores alternative perspectives on its constancy and investigates potential influences of Dark Energy (DE) on light speed. Thirdly, furthermore, the paper examines the four fundamental forces—Electromagnetic Force (EF), Strong Force (SF), Weak Force (WF), and Gravitational Force (GF)—in the context of quantum unification. While EF, SF, and WFs have found unification through quantum theory, GF remains distinct. Despite efforts in General Relativity (GR) to comprehensively address gravitational forces, a unifying framework with the other three forces is elusive. To bridge this gap, the paper introduces innovative concepts of Space Energy (SE) and Space Constant (SC) to reconcile and unify these fundamental forces. Finally, the research concludes by contemplating a unified theory for the universe and explores the possibility of an acceleration principle governing every cosmic event. By scrutinizing diverse theories and introducing new concepts, this paper contributes to advancing our understanding of the fundamental principles that govern the cosmos
Category: Quantum Gravity and String Theory
[1] ai.viXra.org:2609.0001 [pdf] submitted on 2026-09-01 20:25:22
Authors: Nigel B. Cook
Comments: 16 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references in the field!)
This paper presents three independent and mutually reinforcing theoretical derivations of the Higgs boson mass within the SU(4) vacuum polarisation framework. Each derivation is physically motivated, mathematically explicit, and avoids circular reasoning. The first derivation is the Coulomb-Yukawa vacuum polarization absorbed energy redistribution method, in which the scalar mass arises from the curvature of an effective potential generated by fluctuations in the electromagnetic partition between long-range Coulomb and short-range Yukawa channels. The second derivation is a two-channel SU(4) binding analysis in which the Higgs is the lowest scalar eigenmode of a neutral/charged weak-boson bilinear system. The third derivation is an SU(2) spectral method based on representation weights of the compressed SU(2) vacuum. All three approaches converge on 125-126 GeV. The agreement among these methods strongly supports the interpretation of the Higgs boson as a composite excitation of the SU(2) vacuum. (This paper has been fully proof-read and corrected by Copilot AI to make it more readable than the draft.)
Category: Quantum Gravity and String Theory