Planck Area

Terms: Planck Area (1,630), planck length (170,000), planck volume (1,230), planck temperature (9,750), planck pressure (230), planck's constant (1,320,000),

NIST - Planck Length, Gravitational Constant, Planck's Constant, Unruh Effect Unruh Temperature,

Terms: planck energy (30,200), planck force (597), planck time (105,000), planck mass (59,000), planck density (2,900), planck current (400), planck voltage (194), planck momentum (400), planck impedance (159),

Boolean: "vacuum breakdown" +magnetic (1,040), "vacuum breakdown" +electric (1,450), "vacuum breakdown" +tesla (62), "vacuum breakdown" +volts (166),

Boolean: vacuum +"critical magnetic field" (2,400), "critical field" +vacuum +electrodynamic (237), "qed vacuum" +critical +tesla (34),

Terms: vacuum temperature (26,000), temperature of the vacuum (1,040), unruh temperature (977), qed critical field (74), schwinger field (921), schwinger critical field (112), magnetars (197,000),

Terms: quantum electrodynamics of strong fields (683), vacuum instability (1,750), supercritical external fields (5), supercritical magnetic (155), vacuum polarization (63,000), vacuum polarization (63,000), birefringence of the vacuum (196), ultrastrong field physics (97), sokolov-ternov (1,210), unruh effect (20,800), unruh temperature (977), unruh radiation (3,080),

Terms: vacuum birefringence (796), schwinger's limit (3), schwinger limit (311), laser wakefield accelerator (10,200),

Fundamental Physics with Strong Fields -  Approaching the Schwinger Limit - In an oscillating field the Schwinger mechanism requires that E.B and E2-B2 should both be non-zero and so it does not apply to a single plane wave. Strongly converging or colliding beam geometry is required.  Unruh Radiation - Chen and Tajima have suggested that Unruh radiation is detectable at much lower irradiances, around 1024Wcm-2, since the Unruh radiation has a different polar pattern compared with the orbital (Larmor) radiation of the electrons.

[For converging waves which create matter, the intensities are comparable.]

Thermalizing the Vacuum - more intense lasers, more Unruh radiation, more schwinger limit

Interaction of Electromagnetic Radiation with Supercritical Magnetic Field

Positron Production by Laser Light - QED Critical field = mc^2/(e*lambabarc) = 4.3E9 Tesla.  Also covers Unruh Temperature and critical fields. 

Zettawatt-Exawatt Lasers and Their Applications in Ultrastrong-Field Physics

Dispersion relation for electromagnetic wave propagation in a strongly magnetized plasma

Ecrit = m^2*c^3/e*hbar ~ 10E18 V/m

T = \frac{\hbar a}{2\pi c k} 

T = (hbar/2 pi c k) * a = 4.055008884E-21 kelvin/(m/s2)

The temperature of the vacuum, seen by an isolated observer accelerated at the Earth's gravitational acceleration of g = 9.81 m/s², is only 4×10-20 Kelvin

Planck area - Lp^2 = hbar*G/c^3 = 6.62606896E-34 * 6.67428E-11/(2pi*(2.99792458E8)^3) = 2.612272007E-70 m2

Lp = 1.616252458E-35 m

6.67428x10-11 m3 kg-1 s-2

\ell_P =\sqrt\frac{\hbar G}{c^3} \thickapprox 1.616 252 (81) \times 10^{-35} \mbox{ meters}

$ m_{\rm P} = (\hbar c/G)^{1/2}$= 2.17644x10^-8 kg

m_P = \sqrt\frac{\hbar c}{G}˜ 1.2209 × 1019 GeV/c2 = 2.17644(11) × 10-8 kg

R_{\mu \nu} - {1 \over 2}g_{\mu \nu}\,R + g_{\mu \nu} \Lambda = {8 \pi G \over c^4} T_{\mu \nu}

8*pi*G/c^4  = Lp^2 * (8*pi/hbar*c) = 2.07664122E-43 (m2/(kg*m/s))

G_{\mu \nu} = {8 \pi G \over c^4} T_{\mu \nu},

T_{\mu \nu}^{\mathrm{(vac)}} = - \frac{\Lambda c^4}{8 \pi G} g_{\mu \nu} \,.

\rho_{\mathrm{vac}} = \frac{\Lambda c^2}{8 \pi G}  is called the vacuum energy.