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[8] viXra:2607.0132 [pdf] submitted on 2026-07-30 15:52:25
Authors: Andrew Evans
Comments: 27 Pages.
Dilating Loop Relativity (DLR) connects the Bern-Carrasco-Johansson double copytheory1 with Loop Quantum Gravity (LQG). The framework recognizes physical mass as the source of unconfined kinematic potential density operating on LQG spinfoam cells. At aspinfoam vertex, this potential triggers localized spatial loop dilations that emergemacroscopically as the Schwarzschild metric. At a black hole, vertex dilation increasescontinuously down to the black hole centre. The event horizon acts as a filter, where nodes havedilated sufficiently that shorter-wavelength photons cannot execute the discrete hops required for propagation, while ultra-long Hawking radiation wavelengths span the node gaps and escape. Dark matter is the frozen remnant of early fluctuations in the strong force, acting similarly on LGQ spacetime. Finally, we propose a laboratory test using polarized solid hydrogen to detect an anisotropic, equatorial time-dilation signature.
Category: Quantum Gravity and String Theory
[7] viXra:2607.0118 [pdf] submitted on 2026-07-28 21:48:15
Authors: Nigel B. Cook
Comments: 67 Pages. (Note by viXra Admin: Please cite and list scientific references and submit article written with AI assistance to ai.viXra.org)
SO(3,1) has the double cover SL(2,C), which is the symmetry for the pair of Weyl spinors in a Dirac spinor. Dirac gamma matrices contain two copies of SU(2), and this is exactly why the spin group of the Lorentz group is SL(2,C). SO(3,1) is the group of real 4 × 4 matrices, while SL(2,C) is the group of complex 2 × 2 matrices with determinant 1. They arise dynamically, then no gauge group is required to contain them as real forms. That is precisely why SU(4) is viable. Dirac gamma matrices are the SU(2) × SU(2) structure of the Lorentz algebra, because the Dirac’s spinor matrices content are two copies of SU(2). Dirac’s original antimatter prediction was too symmetric; Nature’s stable first generation is chiral and asymmetric; SU(4) vacuum-polarisation dynamics explain this asymmetry and yield the corrected Dirac equation. The writing of this paper is motivated by the kind critical discussion with mathematician Robert A Wilson, who very helpfully pointed out key problems in the mainstream physics approach, as well as critically clarifying the theoretical physics group and lie algebras underlying Dirac’s spinor. (However, any errors in this paper are not due to Dr Wilson, but to the author.)
Category: Quantum Gravity and String Theory
[6] viXra:2607.0096 [pdf] submitted on 2026-07-23 22:56:52
Authors: Nigel B. Cook
Comments: 48 Pages.
Quantum mechanics, as historically formulated, rests on a mathematical shortcut introduced by Weyl in 1918. Weyl attempted to quantize the gravitational metric by replacing it with Euler’s complex phase exp(iX), a move later adopted by Schrödinger in 1926 to model atomic spectra. Although Weyl’s unification of electromagnetism and gravity was physically incorrect and rejected by Einstein, its mathematical residue, the use of complex configuration space and a single complex wavefunction, became entrenched in quantum mechanics. This groupthink formalism obscures the true dynamical mechanism of quantum phenomena. Feynman’s path integral formulation reveals the correct relativistic structure: quantum behaviour arises from multipath interference, not from a single complex wavefunction: quantum mechanics and quantum field theory can be formulated entirely in Euclidean spacetime using real interference kernels. Euclidean Schrödinger equation emerges as a coarse-grained approximation to the double-path interference dynamics. The hydrogen atom spectrum is derived within this framework, demonstrating full equivalence with standard quantum mechanics. This paper compiles key objective evidence for a scientific revolution, and proves precisely where the errors in mainstream orthodoxy lie, and the benefits of correcting them (rather than attempting to "explain" them using spurious epicycle type inventions such as superstring).
Category: Quantum Gravity and String Theory
[5] viXra:2607.0091 [pdf] submitted on 2026-07-25 02:07:10
Authors: Wenhao Xiong
Comments: 2 Pages.
We derive a dimensionless gravitational state parameter R from a discrete U(1) lattice with Planck spacing. From H=J[sum][1−cos(Δφ)] with J=ℏc/ℓP, point defects interact via the 3D Coulomb potential, yielding Newton’s law with n=m/mP. The parameter R≡Fr2/FP(FP=c4/G) decomposes into a defect rigidity term Rm=n2r/ℓP and the lowest-order compact U(1) vacuum contribution 2πℓP/r: R={[m/(m^P)]^2}r/(ℓ^P)−2π(ℓ^P)/r.(1) [for] R larger than 0: classical attraction. R smaller than 0: repulsion. R=0 defines a critical line mr=2πℏ/c. The effective force F=FPR/r2 acquires a mass-independent r−4 correction. At laboratory scales this effective correction is estimated to be [about 10^(130) N.
Category: Quantum Gravity and String Theory
[4] viXra:2607.0063 [pdf] replaced on 2026-07-25 14:23:47
Authors: Warren D. Smith
Comments: 34 Pages.
We explore consequences of my previous discovery (http://vixra.org/abs/2605.0004 Smith 2026) that Einstein general relativity vacuum solutions are not necessarily real-analytic, and indeed can be (hence presumably generically are, since the analytically-smooth spacetime metrics form an infinitesimally tiny subset of the much wider class of permitted functions) nowhere-analytic. These consequences are hugely destructive for many former physics ideas that implicitly or explicitly assumed analyticity – such as "ER=EPR," "AdS-CFT," or "maximal analytic extensions" – and I will duly obliterate them! A Monte Carlo estimate is that 1-20 thousand general-relativity papers are invalidated. However, in an unexpected brief creative interlude during that apocalyptic demolition, I invented the promising new "mirror paradigm," which might be crazy, but if valid offers a simple nice way to resolve most or all famous "paradoxes" associated with black holes, and also provides a whole new mental picture of the entire universe. Amazingly, I found out soon after posting v1 that almost exactly the same idea (under the name "black mirror") was invented independently 1.5 years before by Tzanavaris, Boyle, and Turok (TBT) although mostly for different reasons. At the end I attempt to reconcile all Smith-versus-TBT discrepancies while showing all apparent obstacles to this picture are only apparent, to produce a mirroring hypothesis we hopefully all can agree is the right proposal and makes sense. I also, surprisingly, make new observations even about the hugely-studied Schwarzschild/Kruskal black hole, including proposing arguably-local metrical tests for event-horizons (a feat often claimed impossible by prior authors).
Category: Quantum Gravity and String Theory
[3] viXra:2607.0030 [pdf] submitted on 2026-07-08 08:34:27
Authors: Sutirtha Mukherjee
Comments: 292 Pages.
Perturbative string theory treats a moving string as a two-dimensional surface and studies the quantum field theory of the fields living on it. Removing the two gauge freedoms of that surface, the freedom to relabel its points and the freedom to rescale its metric, by the Faddeev--Popov method produces a nilpotent BRST charge $Q_B$, and its cohomology $H(Q_B)$ is the physical spectrum of the string. The condition $Q_B^2=0$ fixes the number of spacetime dimensions at twenty-six for the bosonic string and ten for the superstring. At one loop the surface is a torus, and its modular invariance chooses the allowed spectrum, the GSO projection of the superstring, and the charge lattices the theory can carry. The same degeneration limit gives unitarity, since the amplitude factorizes on physical intermediate states. When that intermediate state is a massless one emitted into the vacuum, its coefficient is a tadpole, and requiring the tadpole to vanish is what picks out an allowed background. For the unoriented open string, this condition, equivalently the cancellation of gauge anomalies, forces the gauge group $SO(32)$. These results, and the tree and loop amplitudes built from them, make up the perturbative theory. Perturbation theory is limited to weak coupling, and reaching strong coupling relies on a set of non-perturbative probes that supersymmetry protects. A single cylinder stretched between two D-branes can be understood in two ways, as a loop of open string and as a closed string exchanged across the gap, and equating the two fixes the tension of a D-brane and shows that its Ramond-Ramond charge is quantized in the smallest unit Dirac allows. The masses of the bound states the branes form, the $(p,q)$ strings, and the D0-brane threshold bound states are set exactly by the supersymmetry algebra. Because these tensions, charges, and masses do not move with the coupling, they can be compared across two descriptions of the physics. The $(p,q)$ strings fill out the $SL(2,mathbb Z)$ multiplet behind the S-duality of type~IIB, and the D0-branes become the momentum modes of an eleventh dimension that opens up in strongly coupled type~IIA. The same protected states count the microstates of a black hole and reproduce its Bekenstein-Hawking entropy, and D-branes sourcing a warped throat give a four-dimensional gauge theory that confines while keeping one massless particle.
Category: Quantum Gravity and String Theory
[2] viXra:2607.0012 [pdf] submitted on 2026-07-06 19:54:39
Authors: Sutirtha Mukherjee
Comments: 104 Pages. (Note by viXra Admin: Please cite listed scientific references)
This work presents a systematic development of conformal field theory from first principles in quantum field theory, emphasizing complete derivations of the conformal group in arbitrary dimensions from the conformal Killing equation, proving its isomorphism to $mathrm{SO}(d+1,1)$, and develop the embedding space formalism as a tool for constructing conformally covariant correlation functions constrained by Ward identities. In two dimensions, conformal symmetry enhances to an infinite-dimensional algebra: we derive the Virasoro algebra $[L_m, L_n] = (m-n)L_{m+n} + frac{c}{12}(m^3-m)delta_{m+n,0}$ from infinitesimal generators $ell_n = -z^{n+1}partial_z$, computing the central charge explicitly for free theories (boson $c=1$, Majorana fermion $c=1/2$, $bc$-ghosts $c = 1-3(2lambda-1)^2$) and demonstrating its physical interpretation as vacuum energy. Through radial quantization, we establish the operator-state correspondence and construct the Hilbert space via Virasoro descendants of primary states $|h,bar{h}angle$, deriving the transformation law $T'(w) = (dw/dz)^{-2}[T(z) - (c/12){w;z}]$ that reveals the geometric origin of the conformal anomaly. Unlike conventional treatments, we develop all mathematical machinery from standard QFT without relying on unexplained results from string theory or representation theory, exhibiting all intermediate steps explicitly to provide a detailed continuation beyond introductory QFT texts.
Category: Quantum Gravity and String Theory
[1] viXra:2607.0003 [pdf] submitted on 2026-07-01 08:20:09
Authors: Holger Döring
Comments: 26 Pages.
In a former paper a quantum induced warp-drive was introduced by assuming a model of microscopic cylinders as spacelike dimensions whereby the timelike dimension remains at its classical one-dimensional state. Described now is more detailed the underlying fundamental physical and mathematical spacetime structure than in the first paper , which is announced to feature this quantum induced warp-drive concept. Although there are certainly some new elements involved, everything is based on very classical GRT and QTH- descriptions. A more detailed description of the coupling dilaton-field is made, which connects the macroscopic sector of GRT with the microscopic sector of QFTH. This dilaton-field shall be named a "barytic -field".
Category: Quantum Gravity and String Theory
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