Nuclear and Atomic Physics

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Recent submissions

Any replacements are listed farther down

[15] rxiVerse:2608.0052 [pdf] submitted on 2026-08-18 22:41:32

The Gauge Dynamics of the Standard Model of Physics

Authors: Anthony Vigh
Comments: 3 Pages.

In field theory, a fundamental distinction exists between invariant rest mass (the static scalar property endowed byinteraction with the Higgs condensate) and dynamic energy/momentum transport (mediated by vector gauge fieldsthat rearrange, excite, and move masses across space-time). Viewing the photon as the mechanical driver of kineticstate transitions while the Higgs field establishes the baseline rest mass aligns directly with how energy and momentumare structured in relativistic quantum field theories.
Category: Nuclear and Atomic Physics

[14] rxiVerse:2608.0039 [pdf] submitted on 2026-08-13 09:58:40

Double Helicoidal Fields and the Geometric Origin of Electron Rails (FCD-RB XXXI)

Authors: Ricardo J Miralles
Comments: 14 Pages.

Part XXX established the distinction between the electron's surface mode in the Y-gate throat and its delocalized orbital mode. The present paper proposes that the orbital mode is geometrically anchored by a double helicoidal electromagnetic field emitted by the two protonic A-ends of the triplet structure. The A-ends carry opposite helicities, share the periodic phase supplied through the B-end, and begin at opposite azimuthal angles. In the elementary circular-polarization approximation their superposition is not a rotating transverse vector: it is a linearly polarized, fixed two-rail structure with antipodal antinodes. The B-end determines the propagation period through the geometry of the synchronized distal protonic centers of mass, while the A-end separation determines the field amplitude.The same construction admits a variable vortex order. A counter-rotating pair of equal vortex order produces a stationary pattern with 2l azimuthal lobes. This supplies a direct qualitative correspondence with the 2|m| azimuthal lobes of real p, d, and f orbitals. The correspondence accounts only for azimuthal structure; the polar θ structure, radial nodes, exact relation between synchronized A-end pairs and l=|m|, derivation of ω_B, and derivation of the physical rail radius remain open. Two independently produced internal notes of August 2026 converge on this same mechanism. That convergence is a mild corroborating signal within the project archive, not an external proof or a completed derivation.
Category: Nuclear and Atomic Physics

[13] rxiVerse:2608.0037 [pdf] submitted on 2026-08-12 05:28:25

The Two-Scale Y-Gate Solver — Surface and Orbital Electron Modes (FCD-RB XXX)

Authors: Ricardo J Miralles
Comments: 13 Pages.

This Part develops a regularized, two-scale radial solver for the electron sector of the FCD-RB Y-gate. Its purpose is narrow: to test whether one self-adjoint multiscale Hamiltonian can host both a throat-localized electron resonance and a branch that approaches the usual hydrogenic orbital scale. The throat is regularized at the constituent-scale centrifugal floor R_0=0.6308 fm, while the numerical domain extends to 6×〖10〗^5 fm in order to accommodate the asymptotic 1s tail. A logarithmic grid and a metric-induced similarity transformation are used to preserve a real, self-adjoint discrete spectrum on the non-uniform mesh.The solver reports two separated eigenmodes. The surface mode is localized in the immediate neighbourhood of the Y-gate throat and has eigenvalue -0.511 MeV. This is the genuinely new numerical claim of the construction: a regularized throat calculation can contain a stable, rest-mass-scale surface resonance. Its interpretation remains conditional, however, because the required anchoring depth V_0≃800 MeV was adjusted a posteriori to obtain that level. No first-principles relation of V_0 to m_const, R_0, or σ has been identified.The orbital branch gives -13.605721 eV when the standard Bohr radius is used. This is not an independent prediction of hydrogen ionization, nor a derivation of α. It is exactly the conventional non-relativistic Bohr result written in reduced-Compton form. It therefore provides a valuable classical-limit recovery check for the far-from-throat branch of the solver, but it is not evidence for a new physical constant or a new derivation of atomic physics. Accordingly, this Part closes the leading-order structural question of coexistence of two numerical branches, while leaving the calibration question represented by V_0 explicitly open.
Category: Nuclear and Atomic Physics

[12] rxiVerse:2608.0031 [pdf] submitted on 2026-08-11 19:22:56

Shell Structure and Core/Edge Decomposition of the Nucleus (FCD-RB XXIX)

Authors: Ricardo J Miralles
Comments: 11 Pages.

This Part addresses a restricted nuclear-structure question in the FCD-RB ER/triplet scheme: how many triplets can be assigned to successive nucleon shells, and how can that capacity be decomposed once the observed magic closures depart from the unsplit isotropic-oscillator sequence? The parameter-free three-dimensional harmonic-oscillator capacity C(k)=(k+1)(k+2) reproduces the closures 2,8,20 but subsequently gives 40,70,112,168, rather than 28,50,82,126. The discrepancy is represented, for k≥3, by an exact partition of the same capacity,NEdge(k)=2k+2,Core(k)=k(k+1), with Core(k)+Edge(k)=C(k). The resulting increments reproduce the standard shell-model sequence through N,Z=126 and its 184 extrapolation. More importantly, the partition is shown term by term to be identical to the j_max-aligned sublevel and remainder used in Part XVIII as the FCD-RB topological analogue of Mayer--Jensen spin--orbit splitting. An independent August 2026 internal working note obtains the same partition from toroidal phase synchronization, providing a non-identical route to the same counting rule.The physical interpretation proposed here remains a working hypothesis: the Edge population is the candidate location of proton--proton interface cost, whereas the Core population may absorb deformation without that cost. The C and Fe examples exhibit the stated localization pattern for neutron excess. They do not derive the interface functional, establish a geometric ER shape, or prove a causal mechanism for the closures. Those missing steps remain open.
Category: Nuclear and Atomic Physics

[11] rxiVerse:2608.0010 [pdf] submitted on 2026-08-03 19:37:59

The Bi-stable ER Bridge: Flavor as a Double-Well Endpoint Configuration and the Electromagnetic Origin of the Neutron—Proton Gap (FCD-RB XXVI)

Authors: Ricardo J Miralles
Comments: 7 Pages.

This paper closes a mechanism le structurally open across Parts XIII, XIV, XV and XVIII of the FCD-RB series: how a single non-traversable Einstein—Rosen (ER) dipole realises two stable quark modes (up and down), and what physically drives the transition between them. We show that the two flavour modes are the two minima of a double-well configuration potential , where is the fraction of the endpoint's gravitational centre of mass residing in the visible brane. The double well is generated by the competition between the linear ER-string tension (fixed without free parameters in Parts XIX/XX) and the finite rigidity of the two-brane anchoring — a snap-through elastic bistability. Flavour is the occupied well; the weak interaction and beta decay are the well-to-well transition, executed as a repositioning of the endpoint centre of mass with the braid class le invariant (Part XX), so no strand is ever released. We demonstrate that a bias entering as a shi of the well centre (not as a linear term) preserves bistability robustly, whereas a naive linear bias destroys one well. Fitting the well to PDG values fixes the centre at by a conservation identity (the charge rule of Parts XIII/XIV emerges as a geometric consequence) and the half-separation at by the mass ratio, with zero free parameters for the three mass observables. The model reproduces and the crude strong-sector gap MeV. Most significantly, we resolve a quantitative failure hidden in Part XVIII: the neutron—proton mass gap is not minus the proton electromagnetic self-energy alone (which gives 1.90 MeV, a 47% error), but requires the neutron's own internal-charge self-energy. Because all dipoles are identical, the neutron self-energy equals the proton's in magnitude,MeV, yielding MeV against the observed 1.293 MeV — a 0.2% agreement with no adjustable parameter. We also revise Part XIII's exact 1:2 mass-mode split: the true minima sit at , (not ), with the observed 6% deviation of from 1:2 read as a genuine feature of the well geometry rather than a residual to be explained away.
Category: Nuclear and Atomic Physics

[10] rxiVerse:2607.0050 [pdf] submitted on 2026-07-25 17:37:50

Solar Fusion as Inter-Brane Mass-Asymmetry Rebalancing (FCD-RB XXV)

Authors: Ricardo J Miralles
Comments: 12 Pages.

The FC D-RB framework proposes that solar thermonuclear fusion — specifically the proton-proton chain — is not the union of point particles governed by a strong-plus-Coulomb potential well, but a reorganization of stored tension within the network of Einstein-Rosen (ER) bridges connecting the visible brane to its mirror. We show that the topological "3+3" veto — previously postulated to exclude imbalanced portion configurations — is the same rule, applied at a larger scale, that forbids a bound diproton, forcing the first step of the pp chain to proceed by a mode transition (AAB→ABB) rather than direct strong capture, in exact agreement with observed physics. Using constituent masses already fixed in earlier parts of the series, we derive a decomposition of the Q-value of p+p→d+eu207a+ν, Q = Bd − Δnp − me = 2.224 − 1.293 − 0.511 = 0.420 MeV, which reproduces the experimental value exactly, and show that the same formalism, with a sign flip dictated by leptonic bookkeeping, also reproduces the pep reaction value (Q = 1.442 MeV). We argue that, within FCD-RB, the deuteron binding energy is not a post-fusion surplus but the very source funding the mode transition, inverting the usual causal relation between weak interaction and nuclear binding. We extend the series' existing βu207b derivation (Parts XV and XX) by brane-mirror symmetry to construct, for the first time in the series, an explicit βu207a mechanism. We verify that the number of topological weak vertices required by the pp-I chain (two) matches exactly the number of observed positron-neutrino pairs, and show that the He-4 asymmetry "exact match" is the numerical signature of a deeper condition — balance of the endpoint bookkeeping across both branes — that follows naturally once charge itself is traced to that same trans-brane asymmetry. Finally, we propose that extreme gravitational compression can bias the direction of inter-brane dipolar flow, and develop this idea through two concrete cases already present in the working corpus — stellar neutronization by electron capture and the triton—helium-3 branch of the solar chain — presenting both as open, falsifiable avenues for future quantitative derivation rather than as closed results of the model.Keywords: solar fusion; proton-proton chain; mode transition; ER dipole; weak interaction; positron; neutrino; deuteron binding; entropic gravity; gravitational compression; neutronization; FCD-RB.
Category: Nuclear and Atomic Physics

[9] rxiVerse:2607.0021 [pdf] submitted on 2026-07-12 13:58:34

From Quark ER Dipoles to Emergent Gravity: Electroweak Mode Transitions, Entanglement, and the FCD-RB Framework

Authors: Ricardo J. Miralles
Comments: 7 Pages.

We propose a unified reading of the FCD-RB framework in which sub-hadronic structure, electroweak flavour change, and emergent gravity are successive effective descriptions of a single ER-dipole ontology. At the microscopic level, the up- and down-type quarks are interpreted not as distinct elementary particles but as two stable asymmetric mass-distribution modes of one fundamental dipole, with charge emerging from the partition of mass across the branes and the electron appearing as the leptonic resonance of the minority-mass endpoint. At the dynamical level, the weak interaction is reinterpreted as the operator that mediates transitions between these two dipole modes. At the gravitational level, the entanglement entropy of the closed dipole is projected onto the branes through the same mechanism that, in Jacobson’s thermodynamic picture, renders spacetime geometry an emergent equation of state. The result is a single geometric ontology in which flavour, charge, entanglement, and gravity are different effective faces of the same underlying structure.
Category: Nuclear and Atomic Physics

[8] rxiVerse:2606.0032 [pdf] submitted on 2026-06-10 20:11:38

High-statistics Neutronic Evaluation and Geometric Optimization of Compact Lipb Breeding Blankets Using Openmc

Authors: José Luis González Quintana
Comments: 7 Pages. This work evaluates the geometric limits of compact LiPb blankets using OpenMC (v0.15.3). By executing high-statistics transport simulations with 5.0 x 10u2077 source neutrons per configuration, Case 16 demonstrates that a severe thickness reduction down to 3

Neutron transport was modeled using the Monte Carlo code OpenMC (version 0.15.3) employing the evaluated nuclear data library ENDF/B-VII.1. All simulations were executed in a high-fidelity local virtualized environment using identical statistical parameters to isolate exclusively the effects derived from geometric modifications. Three distinct configurations were considered. The first (Case 06) corresponds to an oversized baseline geometry intended to approximate a regime close to maximum neutron containment. The second (Case 12) significantly reduces the outer radius of the blanket while keeping the axial dimensions unaltered, allowing the impact of radial compactness to be quantified. Finally, the third configuration (Case 16) represents an extreme minimization scenario in which both radial and axial dimensions are simultaneously reduced to identify the practical limits of compactness compatible with tritium self-sufficiency. The physical quantities of interest analyzed were the Tritium Breeding Ratio (TBR) and the global neutron leakage fraction, obtained via local collision estimators from simulations featuring 5.0 x 10u2077 source particle histories per configuration.
Category: Nuclear and Atomic Physics

[7] rxiVerse:2605.0053 [pdf] submitted on 2026-05-17 10:40:32

There Are no Independent Negatively Charged Charge Monomers on the Electron Surface

Authors: Zhaole Sun
Comments: 9 Pages.

AbstractModern physics has reached a clear consensus: electrons do not possess a "rigid physicalsurface" in the macroscopic sense. The classical electromagnetic model of a "uniformly chargedrigid sphere" is merely a mathematical approximation for macroscopic descriptions and lacksmicroscopic physical reality. Although quantum electrodynamics (QED) accurately fitsexperimental observations such as scattering experiments and the Lamb shift through "chargeprobability distributions," two core contradictions remain unresolved: first, the failure toexplain the dynamical mechanism by which charges smoothly distributed across the Comptonscale do not disintegrate due to electrostatic repulsion; Despite the theoretical unification ofelectromagnetic phenomena into a common origin, in the physical mechanisms and modelapplications of electron structure, charge and magnetic moment are still treated separately.This paper proposes the original Electromagnetic Homology Theory (ElectromagneticHomology Theory, EHT) , which posits "electricity and magnetism sharing the same originand being interdependent" as its core thesis. Combining experimental evidence such as thedynamic Casimir effect and the Schwinger limit, the model constructs an electromagnetichomology structure for electrons: all electric and magnetic manifestations are fundamentallythe result of interactions between electric and magnetic field components derived from the sameunderlying electromagnetic source. Based on this model, it can be directly deduced that noisolated, discrete charge monomers exist on the electron's surface, and its negative charge ismerely an external manifestation of the dynamic equilibrium effects within its internalelectromagnetic fields.Keywords: Electron surface charge distribution; Electron surface electrostatic repulsion;Electron disintegration; Origin of electron negativity; Electromagnetic waves; Nuclear physics;Electromagnetic homology
Category: Nuclear and Atomic Physics

[6] rxiVerse:2605.0042 [pdf] submitted on 2026-05-14 12:02:08

Electrons do not Continuously Emit Electromagnetic Waves —Misconceptions About Electron Energy Radiation

Authors: Zhaole Sun
Comments: 4 Pages.

AbstractThe classical electromagnetic radiation theory exhibits significant flaws when applied to themicroscopic atomic domain, with long-standing fundamental cognitive biases in academia. Thispaper addresses common misconceptions about energy radiation from electrons and othermicroscopic charged bodies, clarifying that electron energy release follows quantum rules, thatsteady-state motion of extranuclear electrons does not radiate energy outward, that energy-levelorbital transitions are the sole condition for photon generation, correcting erroneous views intraditional theories, and restoring the true operational mechanisms of microscopic energyradiation.Keywords: Classical radiation theory; Electron orbital radiation; Electron collapse into thenucleus; Energy-level transitions; Radiation quantization; Macroscopic continuity andmicroscopic quantum
Category: Nuclear and Atomic Physics

[5] rxiVerse:2605.0033 [pdf] submitted on 2026-05-10 21:40:52

Atom Formation from Topological Solitons in Elastic Quantum Spacetime

Authors: Yurii Gordienko
Comments: 18 Pages.

We develop a unified topological-elastic framework in which atoms, nuclei, nucleons, and quarks emerge as stable nonlinear excitations of a fundamental elastic quantum spacetime field. Matter is modeled as localized topological solitons, vortices, and Hopf configurations ofa nonlinear field embedded in an elastic spacetime medium. Electromagnetism emerges fromthe Berry connection of the underlying field, while gravity is generated by the stress-energytensor of the topological deformations themselves.We provide a minimal quantitative core: a variational three-quark soliton ansatz, a Yshaped flux-tube energy, a calibrated baryon energy curve, relaxation diagnostics, a neutron—proton splitting framework, a self-consistent soliton—Dirac iteration scheme, and soliton profile calculations. The present model should be regarded as an effective exploratory framework whose open predictions include the neutron—proton splitting, zero-mode spectrum, and full lattice-level baryon profiles.
Category: Nuclear and Atomic Physics

[4] rxiVerse:2601.0028 [pdf] submitted on 2026-01-10 00:34:39

Muon g-2 Resolved: Geometric QED Beats Standard Model

Authors: Brian O'Shields
Comments: 46 Pages. DOI 10.5281/zenodo.18202164

The muon anomalous magnetic moment discrepancy between Standard Model predictions and Fermilab measurements has persisted as a 4.2σ tension. We resolve this using Aperture-Well Unification Theory (AWUT), achieving < 0.01σ agreement with zero free parameters. From the single axiom time leads space by π/2, we derive the complete muon g-2 anomaly through geometric Planck-Stop misalignment:∆aAWUT µ = (3.81 ±0.20) ×10−10 versus experimental 3.75 ×10−10. This represents a 420Ö improvement over Standard Model while unifying quantum and cosmic scales through pure geometry.
Category: Nuclear and Atomic Physics

[3] rxiVerse:2512.0036 [pdf] submitted on 2025-12-14 17:15:55

Directional Asymmetry in Nature: Counterclockwise Motion and Neutrino Chirality

Authors: Daniel Robert Izzo
Comments: 5 Pages.

Across physics, astronomy, biology, and chemistry, nature displays a persistent dominance of counterclockwise motion and left-handed chirality. While individual instances are often dismissed as reference-frame conventions or historical artifacts, the recurrence of this asymmetry across unrelated domains suggests a deeper organizing principle. This paper surveys well-established examples of left-handed dominance and argues that only one known phenomenon—neutrino chirality—imposes handedness as a fundamental law rather than convention. Cultural artifacts may reflect this asymmetry, but they do not establish it; the origin lies in physics.
Category: Nuclear and Atomic Physics

[2] rxiVerse:2512.0030 [pdf] submitted on 2025-12-11 22:51:22

The Dimensionless Universe: An Ab Initio Derivation of Fundamental Constants and Grand Unification from Geometric Axioms

Authors: Jan Šági
Comments: 4 Pages.

The Standard Model of particle physics relies on approximately 26 free parameters—specificallyparticle masses and coupling constants—whose values are determined empirically and lack atheoretical derivation from first principles. This paper presents a phenomenological frame-work where these constants emerge ab initio from a deterministic geometric lattice definedsolely by the mathematical constant π and the natural energy scale of the vacuum (PlanckMass). Under a strict Zero-Parameter Hypothesis, we analytically derive the Fine-Structure Constant (α), the Electron Mass (me ), and the Proton Mass (mp ). Furthermore,we resolve the Hierarchy Problem by deriving the Gravitational Constant (G) with highprecision. Computational auditing confirms that this geometric model reproduces CODATA2018 fundamental constants with a global system error of < 0.009%, suggesting that physicalreality is an emergent property of a fractally structured geometric manifold.
Category: Nuclear and Atomic Physics

[1] rxiVerse:2509.0026 [pdf] submitted on 2025-09-21 15:33:39

Quantum-Mechanical Framework for Sub-Ground Hydrogen States: United-Atom Limits and Wu-Wei Geodesics

Authors: Ben Goertzel
Comments: 16 Pages.

We present a quantum-mechanical framework for understanding reported sub-ground hydrogen states with 40-50 eV binding energies. The approach combines three established mechanisms: (1) united-atom limits in catalyst-induced nanogaps where H2 approaches Z=2 hydrogenic electronic structure, (2) Feshbach coupled-channel formalism providing rig- orous energy-dependent boundary conditions, and (3) Auger/interatomic Coulombic decay processes enabling efficient energy dissipation. These mechanisms are organized through the principle of wu-wei geodesics -- quantum evolution as a boundary value problem seeking paths of least effort between initial and final constraints. The framework yields E = -54.4 eV as the natural energy scale from Z=2 hydrogenic ground state, explaining observed 40.8 and 51.0 eV transitions without invoking exotic physics. We provide specific experimental tests including correlated photon-electron detection, isotope effects, and pressure-dependent spectral features.
Category: Nuclear and Atomic Physics

Replacements of recent Submissions

[10] rxiVerse:2608.0039 [pdf] replaced on 2026-08-24 13:46:36

Double Helicoidal Fields and the Geometric Origin of Electron Rails (FCD-RB XXX v4I)

Authors: Ricardo J. Miralles
Comments: 6 Pages.

Part XXX established the distinction between the electron’s surface-localized mode in the Y-gatethroat (E = −0.511 MeV) and its delocalized, extended orbital mode (E = −13.6 eV). This papersupplies a proposed pregeometric anchoring mechanism for the latter: radiative, opposite-helicity A-end fields whose electromagnetic superposition fixes transverse, non-radiating "electron rails" in the atomic co-volume. The A-ends inherit opposite helicities (h A1 = +1, h A2 = −1) and share the temporal phase clock supplied by the common B-end (∆ ϕ = 0) but start at antipodal azimuthal angles (∆θ = π). In the circular-polarization approximation and the elementary vortex order ℓ = 1, their superposition yields a linearly polarized, stationary two-rail structure with antipodal antinodes, rather than a rotating transverse vector, preventing classical synchrotron collapse. We extend this construction to variable vortex orders ℓ = | m | , showing that counter-rotating optical vortices of equal order produce stationary patterns with 2 | m | azimuthal lobes. This matches the azimuthal multiplicity of real p, d, and f atomic orbitals exactly, providing a unified pregeometric mechanism for chemical subshell morphology. We discuss the limits of this mapping, noting that the polar θ structure, radial nodes, and the physical rail radius currently remain open, and explicitly outline the required mathematical program for future derivation.
Category: Nuclear and Atomic Physics

[9] rxiVerse:2608.0037 [pdf] replaced on 2026-08-24 13:53:01

The Two-Scale Y-Gate Solver: Surface and Orbital Electron Modes (FCD-RB XXX v4)

Authors: Ricardo J. Miralles
Comments: 5 Pages.

Within the FCD-RB (Folded Crunch Dipole — Reversed Big Bang) pregeometric framework, every massive fermion is modeled as a trans-brane dipole connected by a microscopic EinsteinRosen (ER) bridge. The electron is not an independent particle, but the inseparable leptonic resonance localized at the minority-mass endpoint of the quark ER dipole at the visible-brane interface. This paper develops a regularized, two-scale radial solver for the electron sector of the FCD-RB Y-gate to address the quantitative transition from throat-scale confinement to delocalized atomic phase (originally posed as "Open Problem 2" in Part XV). The throat is regularized at the constituent-scale centrifugal floor R 0 = 0.6308 fm, while the numerical domain extends to 6×10 5 fm in order to accommodate the asymptotic 1s tail. Using a logarithmic grid and a metric-induced similarity transformation, we solve the self-adjoint radial Hamiltonian on the non-uniform mesh. The solver reports two widely separated eigenmodes: (i) a deep, throat-localized surface mode with an eigenvalue of −0.511 MeV, representing the electron rest mass, and (ii) an extended, delocalized orbital mode with an eigenvalue of −13.605721 eV, which exactly recovers the conventional hydrogen 1s ground-state Bohr limit. While this numerical coexistence closes the leading-order structural question, the required anchoring potential depth of V 0 ≈ 800 MeV remains fitted a posteriori with no first-principles origin yet identified, which is kept as an open problem.
Category: Nuclear and Atomic Physics

[8] rxiVerse:2608.0031 [pdf] replaced on 2026-08-23 19:30:48

Shell Structure and Core/Edge Decomposition of the Nucleus FCD-RB XXIX v4

Authors: Ricardo J. Miralles
Comments: 5 Pages.

Within the pregeometric FCD-RB (Folded Crunch Dipole — Reversed Big Bang) framework, the atomic nucleus is reinterpreted not as a collection of pointlike nucleons fighting Coulomb repulsion, but as a phase-synchronized toroidal coupled-mode network of Einstein-Rosen (ER) dipoles. This paper formalizes the elasto-dynamic decomposition of the nucleus into two distinct structural regions: a coherent, non-radiative central Core and an elastically coupled boundary Edge (valence region). Protons and neutrons inside the closed shells form the Core, achieving perfect phase synchronization (∆ ϕ = π) that cancels Coulomb repulsion at their interfaces and minimizes bulk elastic strain. The Edge contains open-shell or valence nucleons whose uncancelled phase residuals and precessing throats couple to standard fields, generating observable nuclear magnetic moments and quadrupole moments. We derive the seven nuclear magic numbers (2, 8, 20, 28, 50, 82, and 126, with 184 predicted) as phase-closure conditions of the helical toroidal lattice without adjustable parameters, and express the Mayer-Jensen spin-orbit term as a geometric consequence of the throat’s helical inclination. Spin quenching is derived analytically as the geometric occupancy fraction of the shell’s phase-surface (ϵ = n core /∆ k ), yielding exactly ϵ = 0.75 for the 1f 7/2 shell, in outstanding agreement with empirical values. Finally, we bridge this nuclear partition to the atomic scale, formalizing the double helicoidal electromagnetic fields emitted by the A-ends of the Core/Edge boundary as the physical origin of the non-rotating electron rails.
Category: Nuclear and Atomic Physics

[7] rxiVerse:2608.0010 [pdf] replaced on 2026-08-21 20:56:29

The bi-Stable er Bridge: Flavor as a Double-Well Endpoint Con Guration FCD-RB Xxvi v4

Authors: Ricardo J. Miralles
Comments: 6 Pages.

This paper closes a mechanism left structurally open across Parts XIII, XIV, XV, and XVIII of the FCD-RB (Folded Crunch Dipole — Reversed Big Bang) series: how a single non-traversable Einstein—Rosen (ER) dipole realizes two stable quark modes (up and down), and what physically drives the transition between them. We show that the two light flavor modes are the two stable minima of a double-well configuration potential E(λ) = E 0 [(λ − λ c ) 2 − d 2 ] 2 , where λ is the fraction of the endpoint’s gravitational center of mass residing in the visible brane and λ c = 1/2 is the symmetric barrier maximum. The double well is generated naturally by the competition between the linear ER-string tension (fixed without free parameters in Parts XIX and XX at σ ≈ 0.99 GeV/fm) and the finite rigidity of the two-brane anchoring, exhibiting a classic snap-through elastic bistability. Flavour is thus identified with the occupied well, while the weak interaction and beta decay correspond to the discrete well-to-well transition executed as a global repositioning of the endpoint center of mass with the B 3 braid class held invariant. Fitting the well to PDG values fixes the center at λ c = 1/2 by a topological conservation identity (from which the Trans-Brane Mass-Asymmetry Rule emerges as a geometric consequence) and the well half-separation at d = 0.1837, yielding real minima at λ − = 0.3163 and λ + = 0.6837. This accounts for the 6% deviation of the mass ratio m u m d 0 46 from the ideal 1:2 split as a genuine geometric feature rather than an unresolved tension. Most signi cantly, we resolve a quantitative failure latent in Part XVIII: the neutron proton mass gap is not (m d − m u ) − Ep (which left a 47% error), but requires the neutron s own internal-charge electromagnetic selfenergy E n . Because all fundamental dipoles are identical, we establish E n = E p 0 61 MeV, yielding an exact emergent mass gap of gap n−p = (m d − m u ) − E p − E n = 1.290 MeV, inoutstanding agreement (0.2%) with the observed value of 1.293 MeV with zero free parameters in the mass sector. Semiclassical WKB tunneling across this barrier is presented, showing how the colosal collective transition mass of the tripolo M eff ≈ 2.91 × 10 6 MeV suppresses decay to stabilize the free neutron.
Category: Nuclear and Atomic Physics

[6] rxiVerse:2607.0050 [pdf] replaced on 2026-08-21 20:51:32

Solar Fusion as Inter-Brane Mass-Asymmetry Rebalancing FCD-RB XXV v4

Authors: Ricardo J. Miralles
Comments: 6 Pages.

The FCD-RB (Folded Crunch Dipole — Reversed Big Bang) framework proposes that solar thermonuclear fusion, specifically the proton-proton (pp) chain, is not a collision of point-like particles governed by a phenomenological strong-plus-Coulomb potential, but a dynamic reorganization of stored tension in the five-dimensional network of Einstein-Rosen (ER) bridges connecting our visible brane with its conjugate mirror brane. This paper develops three major results. First, we show that the topological "3+3" portion capacity rule, which forbids imbalanced baryon states, is the same principle that prevents the existence of a bound diproton (2 He) or dineutron, naturally forcing the first step of the pp chain to proceed via a weak mode transition (AAB → ABB) en route to the balanced 3 + 3 deuteron (2 H). Second, using constituent masses previously established in the FCD-RBv4 sub-hadronic corpus, we derive a parameter-free decomposition of the Q-value for the primary pp reaction (Q pp = B d − ∆ np − m e = 2.224 − 1.293 − 0.511 = 0.420 MeV) and the pep reaction (Q pep = B d − ∆ np + m e = 1.442 MeV), matching experimental values to sub-keV precision and showing that the deuteron’s binding energy funds, rather than follows, the mode transition. Third, we establish that Helium-4 (4 He) acts as a terminal fusion attractor because its N=Z composition achieves a perfect cross-brane endpoint balance (total trans-brane asymmetry A = 0 exactly), minimizing the geometric strain of the collective dipole network. We also confront an explicit, unresolved tension in the current FCD-RB series: while standard brane-mirror symmetry suggests that the emitted positron of the pp transition should reside on the visible brane, the corpus’s only end-to-end traced A → B transition (stellar neutronization by electron capture) places the leptonic emission on the mirror brane. We formulate this discrepancy as an open problem, proposing that its resolution requires an explicit ER inversion trigger. Finally, we propose a Le Chatelier-like mechanism of gravitational compression that biases the direction of inter-brane dipolar flow, applying it qualitatively to stellar neutronization and mass-3 isobar exchanges.
Category: Nuclear and Atomic Physics

[5] rxiVerse:2607.0050 [pdf] replaced on 2026-07-29 11:54:03

Solar Fusion as Inter-Brane Mass-Asymmetry Rebalancing (FCD-RB XXV)

Authors: Ricardo J Miralles
Comments: 17 Pages.

The FCD-RB framework proposes that solar thermonuclear fusion — specifically the proton-proton chain — is not the union of point particles governed by a strong-plus-Coulomb potential well, but a reorganization of stored tension within the network of Einstein-Rosen (ER) bridges connecting the visible brane to its mirror. We show that the topological "3+3" veto — previously postulated to exclude imbalanced portion configurations — is the same rule, applied at a larger scale, that forbids a bound diproton, forcing the first step of the pp chain to proceed by a mode transition (AAB→ABB) rather than direct strong capture, in exact agreement with observed physics. Using constituent masses already fixed in earlier parts of the series, we derive a decomposition of the Q-value of p+p→d+eu207a+ν, Q = B − Δ − m = 2.224 − 1.293 − d np 0.511 = 0.420 MeV, which reproduces the experimental value exactly, and show that the same formalism, with a sign flip dictated by leptonic bookkeeping, also reproduces the pep reaction value (Q = 1.442 MeV). We identify an unresolved tension between the corpus's one explicitly-traced mapping of an A→B transition — which places the leptonic emission on the mirror brane (stellar neutronization working note) — and what the experimentally-observed, visible-brane fusion positron would require; absent an ER inversion mechanism not yet described anywhere in the model, this discrepancy remains an open problem rather than a derived result. We nonetheless verify that the number of topological weak vertices required by the pp-I chain (two) matches exactly the number of observed positron-neutrino pairs, read as a count of mode-transition events rather than an independent derivation of the emitted lepton's brane of origin. We show that the He-4 asymmetry "exact match" is the numerical signature of a deeper condition — balance of the endpoint bookkeeping across both branes — that follows naturally once charge itself is traced to that same trans-brane asymmetry. Finally, we propose that extreme gravitational compression can bias the direction of inter-brane dipolar flow, and develop this idea through two concrete cases already present in the working corpus — stellar neutronization by electron capture and the triton—helium-3 branch of the solar chain — presenting both as open, falsifiable avenues for future quantitative derivation rather than as closed results of the model.
Category: Nuclear and Atomic Physics

[4] rxiVerse:2607.0021 [pdf] replaced on 2026-08-21 13:24:54

From Quark er Dipoles to Emergent Gravity FCD-RB XXI v4

Authors: Ricardo J. Miralles
Comments: 7 Pages.

Within the pregeometric FCD-RB (Folded Crunch Dipole — Reversed Big Bang) framework, we propose a unified, self-consistent ontology that bridges the sub-hadronic, leptonic, electroweak, and gravitational sectors without introducing disjoint conceptual layers or independent fundamental fields. We demonstrate that the light quark flavours (up and down) are not distinct elementary particles but rather two stable, quantized asymmetric massdistribution modes of a single fundamental Einstein-Rosen (ER) dipole, corresponding to the robust minima (λ − ≈ 0.3163 and λ + ≈ 0.6837) of a snap-through double-well potential. Electric charge is shown to be non-intrinsic, emerging as the geometric signature of the dipole’s mass asymmetry across the visible and mirror branes (the Trans-Brane Mass-Asymmetry Rule, TBMAR), while the electron emerges as the localized leptonic Rayleigh-type resonance of the minority-mass endpoint. The weak interaction is reinterpreted as the transition operator mediating well-to-well mass redistribution without altering the baryon’s topological B3 braid protection. At the macroscopic scale, the collective entanglement entropy of the closed dipole network is projected onto each brane through the Ryu-Takayanagi relation, providing the microscopic complement required by Jacobson’s thermodynamic emergent gravity. The global uniformity of Newton’s constant G emerges naturally because all dipoles are immersed in the unique, shared bulk temperature T bulk , while a single small parameter ϵ(z) governs the cosmic thermal asymmetry, predicting a testable dynamical G(z) and unifying gravity with dark energy as two distinct ports of the same bulk. Semiclassical limitations and precise observational pointers for Euclid/DESI-2 are explicitly catalogued.
Category: Nuclear and Atomic Physics

[3] rxiVerse:2607.0021 [pdf] replaced on 2026-07-21 10:39:19

From Quark ER Dipoles to Emergent Gravity (FCD-RB XXI)

Authors: Ricardo J Miralles
Comments: Pages.

We propose a unified reading of the FCD-RB framework in which sub-hadronic structure, electroweak flavour change,and emergent gravity are successive effective descriptions of a single ER-dipole ontology. At the microscopic level, theup- and down-type quarks are interpreted not as distinct elementary particles but as two stable asymmetricmass-distribution modes of one fundamental dipole, with charge emerging from the partition of mass across thebranes and the electron appearing as the leptonic resonance of the minority-mass endpoint. At the dynamical level, theweak interaction is reinterpreted as the operator that mediates transitions between these two dipole modes. At thegravitational level, the entanglement entropy of the closed dipole is projected onto the branes through the samemechanism that, in Jacobson’s thermodynamic picture, renders spacetime geometry an emergent equation of state.The result is a single geometric ontology in which flavour, charge, entanglement, and gravity are different effective facesof the same underlying structure.Keywords: ER dipole; emergent gravity; electroweak mode transition; entanglement entropy; Jacobson thermodynamics;Ryu-Takayanagi; leptonic resonance; gravitational screening; FCD-RB.
Category: Nuclear and Atomic Physics

[2] rxiVerse:2603.0048 [pdf] replaced on 2026-03-23 05:09:00

A Euclidean Framework Called the e-RSR Model: Nucleon Structure, Beta Decay, and Pilot Wave Dynamics

Authors: John Moodie
Comments: 14 Pages.

This paper presents a rigorous Euclidean framework called the E-RSR model, mapping relativistic kinematics directly onto the internal geometry of nucleons.By parametrising dimensional velocity (B) and length contraction (L) within a foundational unit circle (c=1), protons and neutrons are modelled as distinct, highly symmetrical hexagram structures defined by a 60° separation of their intrinsic spin axes.This framework introduces a precise mechanical engine for beta decay, localising the charge transition entirely to the 90° blue quark coordinate. Beta decay products are ejected along specific, horizontal trajectories that act as physical thrusters, generating a synchronised kinematic 3D torque. This torque actively drives a Dzhanibekov-style structural flip—a continuous 90° rotation of the real axis into the imaginary axis—unifying charge conservation with physical Euclidean kinematics and the spatial inversion of spin-1u20442 fermions.Furthermore, the model geometrically isolates the strong nuclear force from the strong residual force.While internal nucleon stability is maintained by perfectly orthogonal diagonal gluon exchanges, an inherently unbalanced lateral gluon exchange (0°/180°) creates an internal geometric tension.This tension mechanically drives 2L pion spokes outward, physically bridging the spatial gap to bind adjacent nucleons.The specific rotational mechanics of fermions are preserved by establishing structurally independent real axes for the fermion phasor (PFf) and the interference phasor (PWf). Finally, the framework bridges these Euclidean internal kinematics directly to deterministic Pilot Wave dynamics.It defines the nucleon boundary as an optical cavity governed by Brewster's angle, proving that continuous internal quantum transitions generate the macroscopic guiding wave without violating energy conservation, while structural decoherence mathematically triggers terminal beta emission.Together, these geometric derivations offer a cohesive, fully spatial visualisation of quantum transitions, nuclear binding, wave-particle duality, and relativistic kinematics.
Category: Nuclear and Atomic Physics

[1] rxiVerse:2601.0048 [pdf] replaced on 2026-02-10 06:51:34

Pathfinder Reforged: A Design Study for Proton--Boron-11 Lattice Confinement Fusion Experiments with Rigorous Energy-Balance Diagnostics

Authors: Jake Adam Todd
Comments: 14 Pages.

The Pathfinder Reforged design study is conservative in its promises and ambitious in its diagnostics. [3, 18, 19] It does not claim that p—11B LCF will reach reactor-level performance or imminently power electric propulsion systems; recent analyses and NASA statements emphasize that current LCF reaction rates and understanding are far from enabling practical engines or power plants. [3, 19, 33, 39] Instead, the contribution of this work is to define an experiment that can decisively clarify whether a metal lattice environment provides significant, experimentally observable enhancement to p—11B fusion rates at accessible driver energies. [6, 9, 11] If such enhancement is verified and can be scaled, the most realistic terrestrial applications are not near-term grid baseload, but rather compact neutron and gamma sources for hybrid fusion—fission systems, decentralized radioisotope production for medical imaging and cancer therapy, and specialized industrial or remote power where small, robust units are more valuable than very large central plants. [33,34,37,38,40,42,43] If, instead, the experiment finds no measurable enhancement beyond updated nuclear data and modest screening, that null result still performs an important service by closing off a large design space of implausible solid-state aneutronic reactors and by refocusingfusion research on approaches better aligned with established physics. [3, 18, 19, 35]By combining enriched 11B targets, ultrafast lasers, and modern nuclear diagnostics and energy-balance tools, the experiment can deliver either positive evidence for such enhancement or strong constraints that limit how much enhancement is possible. [1, 2, 4, 13] This information is valuable regardless of the outcome: if large enhancements are ruled out, LCF-based p—11B concepts can be deprioritized; if modest or large enhancements are observed, new directions for aneutronic fusion research open up. [3, 18, 19]
Category: Nuclear and Atomic Physics