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[8] ai.viXra.org:2603.0083 [pdf] submitted on 2026-03-19 12:33:54
Authors: Bertrand Jarry
Comments: 28 Pages. Creative Commons Attribution 4.0 International (CC-BY 4.0)
We present Quantum Vacuum Geometry (QVG), a framework that unifies the four fundamental forces within a single spectral integral Z[D]=∫▒ [dD]expu2061(Tr[f(D^2/Λ^2 )]),D=D_ext⊗1+γ^5⊗D_F where D_F encodes matter and D_"ext " encodes geometry. The three Standard Model forces reside in D_F through the unique algebra A_F=C⊕H⊕M_3 (C) (derived from five axioms C1-C5); gravity emerges from D_"ext " as depletion of the spectral vacuum. All four force-carriers - photon, W^±/Z^0, gluons, and graviton - are residues of 1/q^2 poles of the same propagator.Four quantitative relations connect the forces without free parameters: (U1) sin^2u2061θ_W=3/8; (U2) G_N=2π^2 ℏc/(N_F Λ^2 ) with N_F=96, linking gravitational strength to the fermionic content of the SM; (U3) S_BH=8×A/4l_Pl^2 with factor 8=N_F/N_"bosons " ; (U4) S[D_"total " ]=∑_i▒u200a Z_F (λ_i ) exactly (no BCH corrections, since [D_"ext " ,D_F ]=0 ).The discretisation of geometry by E_0 is the gravitational analogue of Planck's discretisation of the electromagnetic field by ℏ : the equilibrium condition Z_(S^4 ) (E_0 )=N_F=96 plays the role of Planck's thermal equilibrium, and G_N is the coupling between the two discretisations. Gravity is weak because it is diluted over N_F=96 spectral modes, whereas electromagnetism couples through a single U(1) mode.All nineteen Standard Model parameters, T_CMB=2.709" " K ( 0.8% accord), and Λ_"cosmo " are derived from C1-C5 with one free dimensional input M_Pl. The number of fermion generations N_g=3 is derived from the intersection of CP-violation and BBN constraints on D_F. The most urgent experimental test is w=-1 exactly, now challenged at 2.8-4.2σ by DESI DR2; DESI DR3 and Euclid (2026-2027) will provide a near-definitive verdict.
Category: High Energy Particle Physics
[7] ai.viXra.org:2603.0067 [pdf] submitted on 2026-03-15 01:17:22
Authors: Bertrand Jarry
Comments: 14 Pages. Creative Commons Attribution 4.0 International (CC-BY 4.0)
We present the Quantum Vacuum Geometry (QVG) programme, an extension of the Chamseddine—Connes noncommutative geometry framework that derives the Standard Model parameters, the cosmological constant, and the CMB temperature from a single geometric principle.Starting from five algebraic axioms (C1—C5) on the finite spectral triple, the unique algebra of minimal dimension is AF = C ⊕ H ⊕ M3(C), generating gauge group SU(3) × SU(2) × U(1), three fermion generations (NF = 96 modes), and the exact hypercharge trace TrF Y 2 = 10.The original QVG contribution is a spectral free-energy functional Fρ[T ] =i ρiλi + E0 i ρi ln ρi whose unique fixed point ρ∗ = 1/NF determines all nineteen SM parameters. Numerical computation at N = 96 gives fermion masses to < 0.3%of PDG 2024 and the CKM matrix to < 2.5%; the Koide relation K = 2/3 is reproduced to 10−5.Three new results are established: (R1) the cross-coupling Kij = 0 exactly, from {Dext, γ5} = 0 in Clifford algebra; (R2) g∗ = 2 at E0 = 3.2 meV gives Λcosmo = 0.990 × 10−52 m−2 (9% of observed); (R3) TCMB = (E0/kB) × αTrF Y 2 = 2.709 K (0.6% of observed), derived from the Seeley—DeWitt a4 coefficient via Caldeira—Leggett. The quantum gravity propagator GE(r) = (Λ2GUT/16π2) exp(−Λ2GUTr2/4) is Gaussian and UV-finite. All residuals trace to a single source: the uncertainty in E0.
Category: High Energy Particle Physics
[6] ai.viXra.org:2603.0062 [pdf] submitted on 2026-03-14 16:42:49
Authors: Jason Merwin
Comments: 21 Pages.
We present Relational Mathematical Realism (RMR), a discrete framework in which physicalreality emerges from relational updates on a 137-element integer registry. Five structural primitives tetrahedral vacuum geometry, registry partition, graph resonance dynamics, sector mapping, and overflow-fission mechanics — are stated axiomatically and used to derive eight quantitative predictions with no tunable continuous parameters: three charged lepton mass ratios, one neutrino mass-squared splitting ratio, one baryon mass ratio, and three strange baryon mass predictions. All eight agree with experiment to better than 1.1%. The central finding is that the integer set {137, 136, 17, 3} — the registry total, its substrate factor, the substrate prime from 136 = 8 × 17,and the K3 graph order — appears without modification across every sector. We employ an honestthree-tier classification: five predictions [T1] follow strictly from the primitives; three [T2] require two structural postulates whose numerical content is fixed by the same integers but whose derivation from the base primitives remains open. The Gell-Mann—Okubo baryon octet relation emerges as a structural identity. We catalog eleven open questions by tractability and identify JUNO and DUNE as the decisive near-term falsification tests via the integer prediction R ≡ Δm2 32/Δm2 21 = 33.
Category: High Energy Particle Physics
[5] ai.viXra.org:2603.0048 [pdf] submitted on 2026-03-11 19:18:15
Authors: Alejandro Rivero
Comments: 17 Pages.
We provide a reference dataset and exhaustive analysis of Koide-type mass relations under Standard Model renormalization-group evolution from MZ to MPl. Using PyR@TE 3 two-loop SM beta functions and AHS (AntuschHinze Saad) multi-loop Yukawa data, we track the charge-lattice ratio signed Koide triples constructed from the 9 SM Yukawa couplings.
Category: High Energy Particle Physics
[4] ai.viXra.org:2603.0041 [pdf] submitted on 2026-03-09 08:13:19
Authors: Kobie Janse van Rensburg
Comments: 18 Pages.
We present a discrete kinematic model built from the three-strand braid group B3 with a local slot-based framed-transfer rule. The model cleanly separates coarse closure topology from path-dependent framed memory, allowing macroscopically trivial closures to retain quantized internal residual structure. A computational sweep over 118,096 admissible braid histories confirms large-scale topology-framing decoupling. Using a universal closure-scaled framing map, we show that the first-generation electroweak quantum numbers are reproduced exactly by linear functionals on the framing vector. We then define a bilinear vacuum-mass functional from a rank-two vacuum tensor acting on left/right framed data.The first-generation mass-area matrices satisfy the exact algebraic identity Mu = Md+3 Me, which holds unconditionally for any vacuum tensor K and implies the rigorous bound |mu−md| ≤ me on bare kinematic masses. Finally, we observe that residual framed memory in the topological identity sector provides a natural finite mechanism for nonzero vacuum energy density. The paper is scoped as a kinematic-combinatorial framework: exact algebraicidentities are proved inside the model, while larger physical mass splittings and radiativestructure are attributed to dynamical dressing beyond pure topology.
Category: High Energy Particle Physics
[3] ai.viXra.org:2603.0020 [pdf] replaced on 2026-03-23 17:28:02
Authors: Philippe Marcel Ndiaye
Comments: 56 Pages.
The charged lepton masses satisfy the Koide relation Q = 2/3 and are parametrizedby a single Brannen phase δexp = 0.22222(5) ≈ 2/9. We prove that this parametrizationis the exact eigenvalue structure of a democratic element of the exceptionalJordan algebra J3(O), with cos(3δ) = −φ(V ) where φ is the G2 3-form. Fromthe Sumino SU(3)F family gauge symmetry, we derive Q = 2/3 (equivalent to thequantum dimension d□ = 2 of SU(3)3 WZW) and the amplitude A = √2 (proven).The phase δ = 2/9 — formerly an open conjecture — is now conditionally derivedfrom WZW braiding: the antisymmetric braiding label in SU(N)N satisfies|h(Λ2□) − 2h(□)|/h(□) = 2/(N − 1), which equals unity if and only if N = 3. Thesame braiding structure gives the down-quark phase δd = 1/9 from the symmetricchannel, and a conjectured quantization relation yields δu = 2/39. All six Brannenparameters (Q, δ) for leptons, down quarks, and up quarks are functions of N = 3alone, predicting mc = 617 MeV (0.2σ), ms = 93.1 MeV (0.04σ), and four additionalmass ratios within 1.1σ. Twenty distinct algebraic conditions select N = 3;the neutrino extension is decisively falsified. One hundred and eight alternativeapproaches are cataloged.
Category: High Energy Particle Physics
[2] ai.viXra.org:2603.0011 [pdf] submitted on 2026-03-02 23:41:24
Authors: Alejandro Rivero
Comments: 18 Pages.
We investigate the internal structure of the meson mass spectrum within the sBootstrap framework, which interprets the six charged pseudoscalar mesons of the Standard Model as scalar superpartners of the three charged leptons in an emergent, spontaneously broken N= 1 supersymmetry realized à la Volkov-Akulov in the confined phase of QCD.
Category: High Energy Particle Physics
[1] ai.viXra.org:2603.0003 [pdf] submitted on 2026-03-02 01:15:57
Authors: Jason Merwin
Comments: 11 Pages.
We present a causal integer lattice simulation demonstrating that four qualitatively distinct force behaviors emerge from a single computational engine governed by a 137-element registry partitioned as 16 (gravitational) + 40 (electromagnetic) + 81 (color) elements. The simulation employs strictly discrete arithmetic, causal (sequential) propagation, and a universal overflow-fission mechanism governed by a single thermodynamic principle: the minimization of relational potential E = qΦ. Statistical validation across 20 independent random seeds (N = 20, T = 3000 ticks) confirms: (1) gravitational attraction via unsigned depletion gradients (net displacement toward = -20.9 ± 7.6, p < 10^-4); (2) electromagnetic charge differentiation via signed field annihilation (opposite charges: 1041 ± 49 annihilation events; like charges: exactly 0; t = +92.2, p < 10^-19); (3) strong force color confinement via high-capacity color annihilation (neutral triplet: 1824 ± 73 events; non-neutral: 0 ± 0; t = +70.4, p < 10^-19); and (4) weak decay via adjacency-triggered flavor change with probability 1/137 per mass tick (dense cluster: 1.3 ± 1.0 decays; isolated control: 0; p < 10^-4). Extended gravitational analysis on larger lattices (S = 51-65, T = 15,000) confirms emergent Newtonian potential Φ ∝ 1/r^1.32 (R^2 = 0.97), inverse-square force scaling F ∝ r^-1.80 at 3.4σ above null, and a hemisphere fission asymmetry ratio of 4.0:1 (p < 10^-6), while free-mass kinematic tests reveal that three-dimensional geometric entropy overwhelms single-node gravitational drift—deriving the physical origin of the gravitational hierarchy from first principles. All four mechanisms operate simultaneously within a unified tick loop. These results constitute the first demonstration that four distinct force behaviors can organically emerge from registry capacity constraints and a universal overflow mechanism applied to a partitioned element architecture.
Category: High Energy Particle Physics