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[8] viXra:2601.0125 [pdf] submitted on 2026-01-27 00:35:05
Authors: Holger Döring
Comments: 5 Pages.
Introduced is a discrete, algebraic polynom regulator for the functional reormalization-group (FRG) in quantum gravity. The regulator bases on projections of the Laplace-Beltrami-operators and integrates all modi below a discrete scala exactly. The generated discrete RG-steps produce natural log-periodic oscillations and a fractal UV-structure, which agrees qualitative with results from Causal Dynamic Triangulations (CDT). The procedure is first applied to Einstein-Hilbert-truncation and then to elaborated truncations with and . Fixed points and critical exponents are analyzed. The iteration shows stable UV-fixed points and log-periodic patterns in all couplings. The approach offers a diffeomorphism-compatible, exact and discrete alternative to standard regulators in FRG and opens up new possibilities for the study of fractal spacetime structures.
Category: Quantum Gravity and String Theory
[7] viXra:2601.0122 [pdf] submitted on 2026-01-27 00:25:37
Authors: Hao Shen, Qu Zhang, Ruipeng Ma
Comments: 26 Pages. (Note by viXra Admin: Please submit article written with AI assistance to ai.viXra.org)
This paper constructs a unified theoretical framework based on first principles—i.e.,how the universe generates from its most fundamental state—connecting quantum vacuum genesis, the origin of fundamental physical constants, the Standard Model of particlephysics, and cosmic dynamics. The core breakthrough of the theory lies in identifying amathematical-physical structure termed the "core constant cluster" from the physical mechanism of cosmic genesis. This structure consists of four mutually nested and constraining constants: the golden ratio ϕ ≈ 1.618, the core functional dimension n = 5, the fractal dimension Df ≈ 2.736, and the quantum error correction threshold pk ≈ 0.189. This paper demonstrates that these constants are inevitable products of the intrinsic holographic fractal geometry of the vacuum after spontaneous supersymmetry breaking, rather than being introduced through reverse artificial fitting. On the basis of clarifying the origin and fundamental principles of this constant cluster, this paper forwardly deduces the fundamental physical constants—the speed of light c, Planck’s constant h, and the gravitational constant G—mediated via a Nambu-Goldstone scalar field derived from conformal symmetry breaking. Research indicates that these three constants possess scale-dependence compatible with Lorentz covariance, their evolution regulated by the role density ρR and the fractal dimension Df , while the universality of the fine-structure constant α is strictly maintained. Within this theoretical framework, gravity is redefined as a "holographic tension field" emerging from the collective synergistic effects of quantum "role basis vectors" (mathematically represented as |Li⟩ = Γi ⊗ ˆψi, where Γi is an irreducible representation of the SO(10) group). The observational phenomena of dark matter and dark energy are naturally explained as gravitational enhancement effects of this tension field at low role density and fractal synergistic repulsion effects at cosmological scales. This explanation does not require introducing any unknown particles or a cosmological constant; dark matter and dark energy are viewed as normal manifestationsof gravity as defined herein under different scales and conditions, rather than being causedby undiscovered matter or energy. This theory exhibits a high degree of consistency across multiple key observational tests: fitting the rotation curves of 153 galaxies in the SPARC sample yields a root mean square error of only 4.7km/s, with the Bayesian Information Criterion significantly outperforming mainstream models such as SIDM, FDM, and f (R) gravity; combined constraints from baryon acoustic oscillations and Type Ia supernova data yield a predicted Hubble constant H0 = 67.9 ± 0.4km/s/Mpc, alleviating the current Hubble tension to the 2.1σ confidence level; the relative error of the predicted peak positions of the cosmic microwavebackground radiation power spectrum is less than 0.3%. Through research on quantum origins, this paper compatibly embeds the core constantcluster with the Standard Model of particle physics. The theory provides natural explana-tions for long-standing unresolved problems such as the origin of three fermion generations,neutrino mass and mixing angles, and the Higgs mechanism. Finally, under the premise of strictly rigid calculation without modifying specific experimental conditions, this pa-per proposes five experimentally verifiable predictions covering microscopic, mesoscopic,strong-field, and cosmological scales, each with its own defined 3σ statistical rejection line.This framework is mathematically self-consistent and complete, is in principle falsifiableby experiment, and provides a novel approach with a clear empirical path for exploring uni-fied theories beyond the current scope of the standard cosmological model and quantumfield theory. At the very least, even if this paper only serves to provide a new line of thought for related research, this work holds its own value.
Category: Quantum Gravity and String Theory
[6] viXra:2601.0119 [pdf] replaced on 2026-02-16 17:06:53
Authors: Malcolm McCoard
Comments: 24 Pages.
A new theory provides cause-and-effect explanations for dark energy, dark matter, universal gravity and the nature of time, based upon two simple justified propositions. Firstly, that spacetime being created from energy in the big bang, following the law of conservation of energy and demonstrated mathematical equivalences, is fundamentally energy. Secondly that the Einstein’s equivalence of mass and energy, can therefore be applied to Newton’s laws of motion, in relation to spacetime itself. In an expanding universe, this unconventional approach creates a force in proportion to spacetime energy momentum change, predicting universal gravity. Reciprocal forces created explain why mass bends proximate spacetime, potentially reconciling Newton’s and Einstein’s models of gravity. A consequential modification to the big bang, requires that inflation also creates simultaneous exponential uniform compression and therefore time dilation, in accordance with general relativity. Resultant continuous ongoing time dilated release and expansion of infinite spatial energy ‘moments’, along the temporal plane, creates the 4th dimension of Minkowski’s spacetime, aligning this theory with the mathematical framework describing general relativity. Time Dilated Spacetime Energy Release or TDSER has a perfect fit with dark energy and how we experience time, including special and general relativity. Unreleased spacetime compressed invisibly along the temporal plane is an excellent candidate for dark matter. This approach explains relativistic mass on a cause-and-effect basis and why nucleons have a greater mass than the sum of their parts. Consistent conjecture is presented on the first moment of creation; a big bang starting from nothing, creating familiar dimensions, all necessarily at 90 degrees. A contender for a single unifying force follows and is shown to match and indeed create equations describing Newton’s second law, the law of gravity and Plank’s force. Fundamental cause-and-effect mechanisms for quantum inertia, quantum gravity, force-carrying virtual particles and wave particle duality are presented. Proof is challenging and limited for such extensive claims, as TDSER does not modify the behaviour of spacetime, rather it is shown to align with and create existing frameworks. Hence this article, in attempting to describe an overall picture, falls between theoretical physics and science philosophy. It is a call to action to develop these ideas further; the potential, a consistent cause-and-effect basis for physics at all scales.
Category: Quantum Gravity and String Theory
[5] viXra:2601.0083 [pdf] submitted on 2026-01-22 00:43:42
Authors: Andrew W. Beckwith
Comments: 6 Pages. [a] part of a book Pathways to Quantum cosmology [to be released] in late March 2026
We consider if a generalized HUP set greater than or equal to Planck’s constant divided by the square of a scale factor as well as an inflation field, yield the result that Delta E times Delta t is embedded in a 5 dimensional field which is within a deterministic structure. Our proof ends with Delta t as of Planck time yielding an enormous potential energy. If that potential energy is induced by a repeating universe structure, we get for free a value of Delta E Delta t almost infinite in value which supports a prior conclusion.
Category: Quantum Gravity and String Theory
[4] viXra:2601.0074 [pdf] submitted on 2026-01-19 20:59:02
Authors: Holger Döring
Comments: 17 Pages.
Discussed is the possibility to overlap several temporal structures of events with time-difference on a timelike wordline or bundles/bunches of familar worldlines through a form of resonance process, which identifies the events on an eigenwert-scale with one another. This overlapping-effect of different timelike incidents on the same worldline or worldbundle will cause a form of "time travel" with several consequences. These consequences are discussed. May be, that by this process a form of information transport can occur over timelike distance-intervalls on the same global timelike wordline through a sort of identification folding resp. approximation of eigenvalue alignments of incidents without energy transport. Mathematically used for this description is a Super-Schroedinger-equation, which solutions are Schroedinger-equations for single and multiple resonance-states.
Category: Quantum Gravity and String Theory
[3] viXra:2601.0049 [pdf] submitted on 2026-01-13 01:21:15
Authors: Constantin Sandu
Comments: 8 Pages.
In two earlier studies, we demonstrated that due to the enormous accelerations arising during the perpendicular reflection of a photon by a mirror, the photon’s energy distribution behaves as a quadrupole, thereby generating a graviton (or gravitational wavelet) at the same frequency and direction as the reflected photon. The results shown that the energy Eg of a graviton is Eg=χ*ν^3 (where χ* in an universal constant) and not Eg=kν1 as it is hypothesized today in the quantum theories of gravity. For simplicity, in the early studies, only the contribution of the quadrupole component Q_xx at the reflection of a photon by a mirror was previously considered. Here, we extend the analysis to include all quadrupole components associated with perpendicular photon reflection in the case of a resonant cavity. By applying the standard Einstein quadrupole radiation formula, we demonstrate again in a more accurate manner that the energy of the emitted graviton scales as ν^3, revealing a direct coupling between electromagnetism and gravitation. This finding challenges the long-standing but unverified assumption that graviton energy depends linearly on frequency (ν^1). Our results establish that quantum theories of gravity must instead incorporate cubic frequency dependence. The proposed framework provides a new bridge between general relativity and quantum approaches, suggesting that confined electromagnetic radiation can act as a direct source of high-frequency gravitational wavelets.Keywords: gravitation, general relativity, quantum gravity, gravitational wavelets, Nordström—Einstein paradox, quadrupole radiation, graviton generation, resonant cavity.
Category: Quantum Gravity and String Theory
[2] viXra:2601.0035 [pdf] submitted on 2026-01-09 00:37:32
Authors: Le Zhang
Comments: 48 Pages. (Note by viXra Admin: Please submit article written with AI assistance to ai.viXra.org) DOI: 10.5281/zenodo.18144335
This paper proposes a framework for a unified Axiomatic Field Theory, establishing the logical closure of the geometric information system based on Information Geometry. By postulating the axiom of Maximum Information Efficiency, we derive the Ideal Planck Constant and demonstrate that physical reality emerges from Saturated Excitation within a constrained Phase Space Topology. Applying the Shannon Entropy Limit and Channel Capacity, we prove that the Fine Structure Constant is a geometric projection of the Vacuum Polarization Background.The framework utilizes the Paley-Wiener Theorem and Orthogonal Decomposition to identify the Deviation Field—manifesting as a Evanescent wave and radiating as Topological Radiation. We derive the Gravitational Constant from the Residue caused by the decay of Geometric Fidelity, explicitly defining gravity as a Recoil Force. Furthermore, the model introduces Field-Cavity Duality and Vacuum Breathing modes. Through Geometric Screening rooted in Measure Theory, we explain Momentum Asymmetry. The system's structural closure is secured via Quantum Phase Locking and Generalized Rabi Oscillation, confirming the G Efficiency Structure aligns closely with the CODATA 1986/1998 historical baseline, while discussing potential theoretical implications for the deviation observed in recent high-precision measurements.. Furthermore, the theory identifies a synchronized ~0.025% vacuum polarization shift across both G and a, suggesting a distinction between derived ‘Geometric Naked Values’ and experimentally screened effective values.
Category: Quantum Gravity and String Theory
[1] viXra:2601.0014 [pdf] submitted on 2026-01-04 00:56:13
Authors: Andrew W. Beckwith
Comments: 11 Pages. Essay written for the Gravity Research Foundation 2026 Awards for Essays on Gravitation
We consider if a generalized HUP set greater than or equal to Planck’s constant dividedby the square of a scale factor as well as an inflation field, yield the result that Delta Etimes Delta t is embedded in a 5 dimensional field which is within a deterministicstructure. Our proof ends with Delta t as of Planck time yielding an enormous potentialenergy, Second, we ��e this energy to black hole physics and the early universe. i.e ,Our ideafor black hole physics being used for GW generation , is using Torsion to form acosmological constant. Planck sized black holes allow for a spin density term linked toTorsion.
Category: Quantum Gravity and String Theory
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