Analogies and Differences Between the Particle' Model Used in a Cold
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Physics & Astronomy International Journal Opinion Open Access Analogies and differences between the particle’ model used in a Cold Genesis Theory and those used in the Standard Model Abstract Volume 5 Issue 2 - 2021 The main particularities of the vortexial model of particles resulted in a cold genesis Arghirescu Marius theory of the author (CGT) are compared by those corresponding to the Standard Model State Office for Inventions and Trademarks, Patents Department, of particles. It is argued that the interaction mechanism by intermediary Z–boson and Romania respective– by ‘color’ charges and gluons, considered by the Standard Model for the weak and the strong and nuclear interactions, is semi–formal, a more natural explanation for these Correspondence: Arghirescu Marius, State Office for interactions being given in CGT by a multi–vortexial model of proton– resulted in CGT as Inventions and Trademarks, Patents Department, Romania, −+ non– destructive collapsed clusters of paired quasi electrons ( ee**) and by its resulted Tel 0040745795507, Email vortexial field, which imply also a specific “bag” model of inter–quarks interaction, a Received: June 27, 2021 | Published: August 16, 2021 “dynamide” model of neutron, with degenerate negatron rotated around the protonic center and a preonic model of quark, with quasi–crystalline kernel formed by kerneloids of me –preons of 34 me . A vortexial potential with repulsive kernel of ‘sombrero’ type can be proposed as general genesic potential, which can explain also the cold genesis by chiral quantum fluctuations. Keywords: elementary particle, vortexial field, cold genesis, standard model, sombrero potential Introduction volume, in the de confinement phase they are much suppressed.2 Also it has been shown that the string tension vanished upon removal of In the quantum mechanics, if ψ j is the complete set of eigen center vortices from the simulations.3 functions of the Hamiltonian, determined by the potential and boundary In a Cold genesis theory of the author, (CGT4–6), it is argued the conditions, the field operator can be defined asψψ=∑× c jj, where vortexial nature of the particles’ intrinsic energy E= mc2 , which– in c are destruction operators and ψ are field modes or eigen functions p j j the electron’s case, results as bosonic condensate of ‘cold’ photons, of the Hamiltonian. If | n〉 is the state of n particles in mode ψ , − j j with a super dense centroid m with the radius of ~ 1018 m – the single–particle state is reduced to its wave function ψψ:|1〉= 0 jj jfor the electron, which sustain a stable etherono–quantonic vortex: Operating on a one–particle state with a destruction operator, we Γ (r) = 2π rc = ΓΓ( r)() + r> r , of ‚heavy’ etherons (m ≈ obtain the vacuum: c .1〉=| 0. 〉 Operating on the vacuum with a µ µ µµ B µ s i i 10–60 kg)– generating the magnetic potential A and of quantons creation operator: c † |0〉=〉 |1 results in a particle in mode j , i.e.–if ij ()m=×= h1/ c2 7.37 x 10−51 kg − generating the particle’s magnetic 〉 † h the single–particle state | a is empty, the creation operator c j will moment ξ and vortex–tubes ξ that ‘materializes’ the B–field lines ψ B B fill the state with a fermion. The eigen function j for this particle, is of the magnetic induction, but also the particle’s spin S = ½ħ given obtained from the field operator Ψ :0 〈|| Ψ 1 〉=y i i by a spinorial mass mmµ ≈ p of light photons vortexed with the light’ The second quantization approach exposes the fact that there is speed in the volume of Compton radius rl= ħ / mc pm = r,which do not contribute to the electron’s mass m – which results in CGT from zero–point energy for every field mode jψ , by writing a symmetric e † Hamiltonian in terms of field operators : H =∑+ii E( cci. i ½), 0 confining ‘cold’ photons with rest mass m f –half of their relativist where E is the eigen value of the eigen function Ψ , the second i j mass (m02= ½ m = ½/ hn c ) ,6 as saturation value given by the term showing that even in the absence of particles there is an energy ff ½E associate with every field mode ψ , forming the ‘zero point’ i j relations: m c22≈≈½ εε E dV( r) ½ µ H 2 dV( r) = e 2/ 8. a ; energy of the vacuum, confirmed by effects as the Casimir’s effect, e ∫∫00 0 the Lamb’s shift and the spontaneous emission, which consists also of 2 E = c. B = cµ H; (r <= r r; a =1.41 fm) (1) intrinsic energies mc of virtual particles that have a brief existence, 0 m λ called ‘vacuum fluctuations’, which may be related also to the so– s = ½ħ = ½m cr .≈ π ½ mcr .; r= ħ / mc (2) called ‘cosmological constant’, used in cosmology.1 ml el λ e It is known that in the quantum vacuum, at specific energies of Γ which show that without µ –vortex, the me–particle cannot be excitation, particle–like states can be generated as chiral (spinorial) created. It may be argued that this model of electron is compatible with excitations, individually or in pairs. It was argued also that the vortices the interpretation given by Giovanni S., Erasmo R. and co–workers7,8 play a crucial role in the confinement process, and that condensation 2 of such vortices may be the long–sought confinement mechanism: to the Bohm’squantum potential9: Qm = (ħ /2 )( ∆ ρρ/ ) in the confinement phase vortices percolate and fill the space time identified with the kinetic energy Submit Manuscript | http://medcraveonline.com Phys Astron Int J. 2021;5(2):60‒71. 60 ©2021 Marius. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and build upon your work non-commercially. Copyright: Analogies and differences between the particle’ model used in a Cold Genesis Theory and those used in 61 the Standard Model ©2021 Marius of the internal motion (“zitterbewegung“) associated with Conform to eqns. (1)+(4), the inertial mass of a lepton like the the spin S of a spin −½ particle, (ρ = R2* =ψψ ; ψ = Re. −iS /ħ ; electron is formed around a material center of a quantum (etherono– Γ S = m cx. ; x ⊥ r ) , in accordance with the Schrodinger’s equation, quantonic) vortex µ only by attraction of lighter leptons (photons) µ Γ written in the form: with non–null volume, i.e–with inertial mass, the µ –vortex without the mass of attracted leptons being the classic equivalent of a so– 2 2s -S/ named ‘virtual particle’. - ∆Ψ=E Ψ; Ψ=R ⋅ e ; s = (3) m2 In CGT is possible also to deduce a quark model of cold formed particles with effective (constituent) mass of quarks, which gives the The CGT’s generalization of the relations (1), (2) for the case of the particle’s mass by the sum rule, considering as fundamental stable sub– vector photons4–6 is in accordance with the Esposito’s generalization 0* * of the Giovanni’s interpretation of the Bohm’s potential from matter constituent the basic preon z= 42 mmee≅ 34 , (mmee≅ 0.81 – the particles to gauge particles, in particular– to photons.10 mass of quasi electrons), which can form derived “zerons”, (preonic neutral bosons: zz3 0 ; zz4 0 ; zz6 0 , etc.) and two preonic The attractive interaction potential VΓ given by the vortexial field 1 ( ) 2 ( ) m ( ) of superposed vortexes: Γ=Σ(Γµ (r) results in CGT by the quantum 0 0 bosons: zz2 (4) = 136 me ; zzπ (7) = 238 me , which form the light 2 dynamic pressure Pcdc= ½ρ , in an eulerian expression: 2 and semi–light quarks (mq c< 1 GeV ) . V ( r) =−=− uP ½ uρ c2 ( 4) Γ kd k c According to the model, the quasi–crystalline structure of the in which: ρc –the density of vortexed quanta, given by a single preonic kernel of the quark is given by electronic centroids and vortex– for the vector photon and for electron and by superposed ‘naked’ heavy photons (corresponding to X–rays and γ–rays– which * can be emitted at nucleon’s vibration) and can explain the values of vortexes Γ of quasi electrons (degenerate electrons with degenerate m the masses of cold formed quarks, mesons and baryons by a quasi– * *2 * mass mmee≈ 0.81 , charge ee= ± /3 and magnetic moment µ ) − crystalline model of quark, with its current mass with quasi–crystalline for particles heavier than the electron, uk being the impenetrable arrangement of preonic kernels and with the electronic centroids inter– quantum volume of the attracted particle, named ‘kerneloid’ in CGT.11 distanced by a small repulsive field generated by internal photons’ destruction by zero–point vibrations of the electronic centroids. −1 The equation (4) results from the Euler equation: ωω=ρ fs.P ( − The particle’s mass results in the approximation of the sum rule, as ρ − the thermodynamic work per unit mass; f the fluid’s density; Ps consequence of the quantum fields’ superposition principle applied to –the static pressure of the fluid) by the Bernoulli’s law considered in the the particle’s cold forming as sum of degenerate electrons, whose total simplest form: 12 vortexial field Γv can explain also the nuclear force. 0 02 Prsd( ) += Pr( ) Prvc d( ; ===) ½ρc( rcct) ., (5) –The particles cold forming by clusterizing may result– according to CGT, in a “step–by–step” process13 consisting in: ∇=∇VΓ ( w.ρ f .) u k =∇=∇ L f (.) uP ks =×∇ u k P s; –quark pre–cluster forming, as quasi–crystalline Bose–Einstein ∇ = −∇ ⇒ =− =− ρ 2 2 Ps P d; VΓ uPkd.