Coronal Lepton Fusion: Hydrogen Catalysed Baryon Creation from Electron-Positron Triples in Diverging Magnetic Fields

Coronal Lepton Fusion: Hydrogen Catalysed Baryon Creation from Electron-Positron Triples in Diverging Magnetic Fields Dr David A. Sinclair Cambridge. [email protected] October 8, 2025 Abstract This paper proposes a novel mechanism for baryon creation through lepton fusion in diverging magnetic fields, potentially explaining the temperature anomalies observed in Jupiter’s polar auroral regions. Building on the half-photon electron model, we demonstrate that electron-positron-electron triples can facilitate protonto-neutron conversion through half-photon transfer, producing free neutrons with subsequent beta decay. This mechanism provides a natural explanation for the observed electron-proton temperature asymmetry, quasi-periodic auroral pulsations with characteristic timescales matching neutron decay lifetimes, and the excess energy radiation from planetary magnetospheric cusps. The process requires three essential components: hydrogen molecules to provide spatially-localized electron pairs, thermal positrons from pair production, and diverging magnetic field gradients to induce spin-flip transitions. We derive the energy budget showing available electromagnetic potential energy of approximately 1.44 GeV at quark length scales, substantially exceeding the neutron rest mass of 0.94 GeV. The predicted spatialtemporal signature consists of expanding emission rings propagating at neutron thermal velocities with exponential brightness decay matching the neutron halflife of 880 seconds. This work establishes testable predictions for both laboratory beam-line experiments and astronomical observations, potentially revealing a new pathway for nuclear transformation mediated by electromagnetic field structures in curved spacetime. 1 Introduction The polar regions of Jupiter exhibit persistent temperature anomalies that remain unexplained by conventional magnetospheric heating models. Observations reveal electron temperatures of approximately 105K while protons simultaneously reach temperatures exceeding 106K, creating a systematic energy asymmetry that challenges standard plasma physics [1]. Additionally, auroral emissions display quasi-periodic intensity variations and expanding spatial structures that suggest an underlying physical mechanism operating on characteristic timescales. 1 Standard models attribute jovian auroral heating to particle precipitation from the magnetosphere and Joule heating from field-aligned currents [1]. However, these mechanisms fail to account for the observed temperature ratio between electrons and protons, the total energy budget, and the distinctive spatial-temporal morphology of the emissions. This paper proposes that coronal lepton fusion, a process whereby electron-positron triples interact with hydrogen nuclei in strongly diverging magnetic fields, provides the missing physical mechanism. The process relies on the half-photon electron model [2], in which electrons and positrons possess internal temporal loop structure that enables half-photon transfer between lepton and baryon configurations. The key insight is that hydrogen molecules provide pre-organized electron pairs held in place by protons, creating optimal geometry for positron interaction. When thermal positrons encounter these electron pairs within regions of strong magnetic field divergence, spin-flip transitions enable the formation of stable triples. These triples can then facilitate proton-to-neutron conversion through half-photon transfer, releasing substantial energy and producing free neutrons that subsequently decay with characteristic lifetime of 880 seconds. This mechanism naturally explains the observed phenomenology: the two-stage energy release accounts for the temperature asymmetry, the neutron decay timescale matches observed periodicities, and the diffusive neutron transport creates expanding emission patterns. Moreover, the process provides a testable framework for laboratory experiments and astronomical observations. 2 Theoretical Framework 2.1 The Half-Photon Electron Model The foundation of this mechanism rests on the electromagnetic structure of leptons as developed in previous work [2]. In this model, an electron consists of two half-photons trapped in a temporal loop, propagating alternately forward and backward in time between two temporal poles separated by time interval ∆t. The electron’s temporal structure can be represented as: ψe−= (ϕf(tf), ϕb(tb)) ,∆t=tf−tb(1) where ϕfand ϕbrepresent the forward and backward propagating electromagnetic potentials. Each temporal pole possesses magnetic dipole moment orientation: Configuration A: N pole at tf,S pole at tb(2) Configuration B: S pole at tf,N pole at tb(3) These configurations correspond to the two spin states of the electron. Critically, the magnetic dipole can flip through spin-flip transitions induced by strong magnetic field gradients, reorienting which temporal pole carries which magnetic polarity. 2.2 Diverging Magnetic Field Effects In a spatially varying magnetic field with gradient ∇B, a magnetic moment µexperiences a force: F=∇(µ·B) (4) 2 For diverging field geometries characteristic of magnetic cusps, the gradient induces spin precession and facilitates transitions between spin states. The transition rate scales as: Γflip ∝µ2 B ℏ2|∇B|2τcollision (5) where µBis the Bohr magneton and τcollision is the collision time. The spin-flip transition reorients the temporal pole structure without altering the total angular momentum. This reorientation is essential for enabling temporal pole pairs from different particles to approach each other in time. 2.3 Hydrogen Molecule as Electron Pair Scaffold The H2molecule provides crucial spatial organization for the lepton fusion process. The two electrons occupy a bonding molecular orbital: ψH2=c1ϕ(1) 1s+c2ϕ(2) 1s(6) The protons maintain the electron pair separation at approximately 0.74 Angstroms, creating a stable geometric configuration. Importantly, the electrons in the molecular orbital are: •Spatially localized within ∼1 Angstrom •Phase-correlated through bonding •Held in position by electrostatic attraction to protons •Unable to escape independently This pre-organization dramatically enhances the probability of triple formation when a thermal positron approaches, as the electron pair geometry is already optimal for simultaneous interaction. 3 The Lepton Fusion Mechanism 3.1 Triple Formation Process The complete mechanism proceeds through the following stages: Stage 1: Pair Production High-energy gamma rays interact with matter (typically through pair production in heavy nuclei) to create electron-positron pairs: γ+Z→e++e−+Z(7) For gamma energies in the range 1-10 MeV, the pair production cross-section is approximately: σpair ≈7 9 Z2r2 e 137 ln 2Eγ mec2(8) where reis the classical electron radius and Zis the atomic number of the converter material. 3 Stage 2: Positron Thermalization The created positron, initially at MeV energies, loses energy through ionization and elastic scattering, thermalizing on timescales of 1-10 nanoseconds in hydrogen gas at pressures of 0.1-1 mbar. The thermalization length in H2is approximately: λtherm ∼10 −50 cm at P= 0.1−0.5 mbar (9) Stage 3: Encounter with H2Molecule The thermal positron drifts through the diverging magnetic field and encounters an H2molecule. The collision rate is: νcollision =nH2σinteractionvthermal (10) where nH2is the molecular density, σinteraction ≈10−15 cm2, and vthermal ≈107cm/s at 300 K. Stage 4: Triple Formation When the positron approaches the H2molecule, the configuration [e−, e+, e−] forms, with the positron positioned between the two molecular electrons. The protons maintain the spatial structure, preventing the electrons from reconfiguring. Crucially, the diverging magnetic field has induced spin-flip transitions such that the temporal poles align in the configuration: [e−forward pole] −[e+backward pole] −[e−forward pole] (11) This temporal alignment allows the electron forward poles and positron backward pole to approach each other in time without immediate annihilation, as they exist at different temporal coordinates. 3.2 Half-Photon Transfer and Neutron Creation Once the stable triple forms, half-photon transfer can occur between the leptons and the adjacent protons. The mechanism proceeds as: Proton Structure: In the half-photon model, a proton consists of quark structures, where each quark is itself a lepton pole pair separated in time: p={u, u, d}(12) The up and down quarks differ in their temporal pole separations and half-photon content. Half-Photon Transfer: An electron in the triple transfers its half-photon to an adjacent proton: e−−(half-photon) →u(bound neutrino) (13) p+ (half-photon) →n(proton to neutron conversion) (14) This conversion changes a proton’s quark structure from uud to udd (or equivalently modifies the temporal pole configuration), creating a neutron. Complete Reaction: The full process can be written as: [p, e−, e−] + e+→p+n+n+ν(15) or alternatively: 2p+ 2e−+e+→p+ 2n+ 2ν(16) where νrepresents the bound neutrino structures (electrons without their half-photons). 4 3.3 Energy Budget The energy available for this process derives from the electromagnetic potential energy released when bringing opposite charges to quark length scales. At separation distance r∼10−18 m (quark scale), the Coulomb potential energy between electron and positron is: Eavailable =e2 4πε0r≈1.44 GeV (17) The energy budget for neutron creation: Input: 2 ×mec2+me+c2= 1.533 MeV (18) Available: Eavailable ≈1440 MeV (19) Neutron mass: mnc2= 939.6 MeV (20) Energy excess: ∆E≈500 MeV per neutron (21) This substantial energy excess appears as: •High-energy gamma rays (10-500 MeV) •Kinetic energy of reaction products •Excitation of surrounding hydrogen For two neutron creation, the total excess energy is approximately 1 GeV, providing ample energy for heating the surrounding plasma. 4 Neutron Decay and Aurora Dynamics 4.1 Free Neutron Beta Decay The created neutrons are electrically neutral and thus do not immediately contribute to auroral emissions. However, free neutrons undergo beta decay with half-life: τ1/2= 879.4±0.6 seconds (22) The decay process: n→p+e−+ ¯νe(23) releases: •Proton with kinetic energy ∼750 keV (average) •Electron with kinetic energy up to 782 keV •Anti-neutrino (escapes without interaction) 5 4.2 Spatial Propagation of Emission The neutral neutrons diffuse away from their creation sites with thermal velocity: vthermal =r3kT mn (24) For coronal temperatures T∼105−106K: vthermal ∼2−10 km/s (25) The neutrons propagate with mean free path: λmfp =1 nH2σscatter ∼100 −1000 km at Jupiter coronal densities (26) As the neutron cloud expands from creation sites, individual neutrons decay stochastically according to: N(t) = N0exp −t τ, τ =τ1/2 ln 2 ≈880 s (27) 4.3 Expanding Ring Emission Pattern The decay products are charged and immediately spiral in the magnetic field, exciting local hydrogen atoms and molecules. This creates a characteristic emission pattern: At time tafter creation, the neutron cloud has expanded to radius: R(t) = vthermal ×t(28) The brightness of emission at radius Rand time tfollows: I(R, t)∝dN dt δ(R−vthermal ·t) = N0 τexp −t τδ(R−vthermal ·t) (29) This produces an expanding ring of emission with: •Ring radius growing linearly: R(t)∝t •Ring brightness decaying exponentially: I∝exp(−t/τ) •Maximum radius: Rmax ∼vthermal ×τ∼2000 −9000 km Multiple creation sites produce overlapping expanding rings, creating complex interference patterns in the aurora morphology. 4.4 Temperature Asymmetry Explanation The observed electron-proton temperature asymmetry arises naturally from the two-stage energy release: Electrons: •Initial population: from pair production at ∼MeV energies 6 •Thermalize rapidly through collisions •Final temperature: ∼105K Protons: •Created from neutron decay with ∼750 keV average energy •Experience magnetic moment coupling to field gradients •Additional heating from decay energy •Final temperature: ∼106K The characteristic energy ratio: Eproton Eelectron ∼750 keV 75 keV ∼10 (30) matches the observed temperature ratio. 5 Application to Jupiter’s Polar Regions 5.1 Jovian Magnetospheric Conditions Jupiter’s polar magnetosphere provides ideal conditions for coronal lepton fusion: Magnetic Field: •Surface field: ∼4-14 Gauss at poles •Strong divergence at magnetic cusps •Gradient: ∇B∼10−5−10−4T/m Plasma Environment: •Hydrogen density: nH2∼104−107cm−3 •Electron temperature: ∼105K (observed) •Proton temperature: ∼106K (observed) Energetic Particle Source: •Magnetospheric electrons: MeV energies •Can produce gamma rays through bremsstrahlung •Gamma rays produce electron-positron pairs •Continuous positron source 7 5.2 Observable Predictions for Jupiter The coronal lepton fusion mechanism makes specific, testable predictions: 1. Expanding Ring Structures: Auroral emissions should display expanding ring patterns with: dR dt =vthermal ∼2−10 km/s (31) Observed expansion velocity directly measures neutron thermal velocity and thus coronal temperature. 2. Brightness Decay Timescale: Individual emission features should decay with characteristic lifetime: τobs = 880 ±10 seconds (32) Deviation from this value would indicate additional physics or magnetic field effects on neutron propagation. 3. Spatial Correlation with Magnetic Cusps: Creation sites (bright initiation points for expanding rings) should correlate strongly with regions of maximum field divergence, particularly at magnetic cusps and polar field line convergence zones. 4. Energy Budget: Total power radiated from polar regions should be consistent with: Ptotal ∼Φe+×ϵfusion ×Eexcess (33) where Φe+is the positron flux, ϵfusion is the fusion efficiency (unknown), and Eexcess ∼500 MeV per event. 5. Isotopic Signatures: If produced neutrons capture on hydrogen before decay: •Deuterium enhancement: elevated D/H ratio near poles •Tritium presence: 3H created from n + n + p binding •These isotopes would slowly diffuse away from creation sites 6 Laboratory Experimental Test 6.1 Experimental Requirements A beam-line experiment to test the coronal lepton fusion mechanism requires: 1. Gamma Ray Source: •Energy: 2-10 MeV •Source: Linear accelerator (LINAC) with bremsstrahlung converter •Flux: ∼1013 photons/s 2. Reaction Chamber: 8 •Volume: ∼0.5 m3 •Pressure: 0.2-0.5 mbar H2 •Temperature: 300 K (room temperature acceptable) 3. Diverging Magnetic Field: •Peak field: 0.5-1 Tesla •Gradient: ∇B∼5−10 T/m •Geometry: Cusp or magnetic mirror configuration 4. Detection Systems: •Prompt neutron detectors (He-3 proportional counters) •Delayed beta/proton detectors (plastic scintillators) •High-energy gamma spectroscopy (HPGe detector) •Residual gas analyzer (mass spectrometry) •Precision timing electronics 6.2 Key Experimental Signatures 1. Neutron Production: Prompt detection of neutrons correlated with beam pulses, occurring only when H2 and diverging magnetic field are both present. 2. Exponential Decay Signature: Following beam shut-off, delayed detection of decay products (electrons and protons) with exponential time dependence: Ndecay(t)∝exp(−t/880 s) (34) This is the definitive signature proving neutron creation. 3. 511 keV Suppression: Reduction in positron annihilation gamma rays (511 keV line) when fusion conditions are met, indicating positrons are participating in fusion rather than annihilating. 4. High-Energy Gamma Excess: Appearance of gamma rays with energies 10-500 MeV, indicating energy release from the fusion process far exceeding simple annihilation energy. 5. Magnetic Field Dependence: Systematic variation of neutron production with magnetic field strength and gradient, with clear threshold behavior and optimal conditions. 6.3 Control Experiments Essential control measurements include: Only when both hydrogen and diverging field are present should neutron production occur, proving the mechanism requires both components. 9