Nendele, kes huvituvad vaakumi probleemist…

Tänapäeva füüsika üheks alustalaks oleva kvantmehaanika järgi on olemas rida erinevaid panuseid vaakumi energia tihedusse ρ_vac. Võrreldamatult suurim nende seas on fundamentaal bosonite nullseisundi kvantfluktuatsioonide panus. Vastav energia tihedus on hiigelsuur ja on Plancki energia tiheduse  ρ_{vac =}4.63 .10¹¹³ J/m³ suurusjärku, mis ületab ligikaudu 10¹²⁰ korda vaadeldavat vaakumi energiatihedust. Kõik teised panused vaakumi energiatihedusse ρ_vac on võrreldamatult väiksemad, mis ei võimalda seletada tegelikku väga väikest summaarset  ρ_vac väärtust.

On ilmunud arXiv’is V. Hižnjakovi publikatsioon [1], kus muuseas on käsitletud vaakumi energia tihedust (Appendix I). Autor vaatleb võimalust hiigelsuure fundamentaalbosonite nullseisundi kvantfluktuatsioonide energia kompenseerimist teiste Plancki mastaabiga aga negatiivse energiaga fluktuatsioonidega. Pakutud mudel võimaldab ka anda Higgsi bosoni massi väärtuse heas kooskõlas viimaste mõõtmistega (Appendix II).

Joonisel on näidatud vaakumi energia tiheduse ρ_vac sõltuvuses negatiivse energiaga fluktuatsioonide kontsentratsioonist ; l₀ on fluktuiatsioonide kaugus, l_p =1.616*10^-35 m on Plancki pikkus (joonis on tehtud artikli Fig. 1 alusel). Konsentratsioon 0.29 vastab Tryoni eeldusele [2], et universum on tekkinud null-energiaga kvantfluktuatsioonist.

Allikad:

1. V. Hizhnyakov, Plasmon-supported emission of entangled photons and zero-point energy, arXiv:1311.6824v1 [physics.optics] 14 Nov 2013.

2. E. P Tryon, Universe a Vacuum Fluctuation?, Nature, vol 246, pp 396-7, 1973.

For those who are interested in the problem of vacuum

The modern quantum theory states that there is a number of different contributions to the energy density of vacuum ρ_vac. By far the greatest of them is given by the zero-point quantum fluctuations of fundamental bosons. Corresponding energy density is huge and is of the order of the Planck energy density ρ_vac = 4.63 .10¹¹³ J/m³ , which exceeds ca 10¹²⁰ times the observed energy density of vacuum. All other contributions to  ρ_vac are incomparably smaller which does not allow one to explain the actual very small net value of ρ_vac .

In arXiv a publication [1] by V. Hizhnyakov has appeared, which among other things considers the vacuum energy density (Appendix I). The author examines the possibility of compensating the huge energy of fundamental bosons’ zero-point fluctuations by other Blanck-scale fluctuations which are with negative energy. The proposed model allows also to give the value of the Higgs boson mass in good agreement with the recent measurements (Appendix II).

The Figure shows the density of vacuum energy ρ_vac in dependence of the concentration of the fluctuations with a negative energy; l₀ is the fluctuations’ distance, l_p=1.616* 10^-35 m is the Planck length, (the Figure is based on Fig.1 of the article). Concentration 0.29 corresponds to Tryons assumption [2] that the Universe has arisen from zero-energy quantum fluctuation.

Reference:

1. V. Hizhnyakov, Plasmon-supported emission of entangled photons and zero-point energy, arXiv:1311.6824v1 [physics.optics] 14 Nov 2013.

2. E. P Tryon, Universe a Vacuum Fluctuation?, Nature, vol 246, pp 396-7, 1973.