Planck energy

EP=1,956,081,637 JE_{\mathrm{P}} = 1,956,081,637\ \text{J}
Value1,956,081,637 J
StatusMeasured: ± 22,000 J (0.000011 relative)
SourceCODATA 2022 (derived from ħ, c and G; uncertainty inherited from G)
CategoriesUniversal & AtomicQuantum
Planck energy in every energy unit
electron volt1.2208901e+28 eV
hartree4.4866885e+26 Eh
kiloelectron volt1.2208901e+25 keV
megaelectron volt1.2208901e+22 MeV
gigaelectron volt1.2208901e+19 GeV
nanojoule1.9560816e+18 nJ
erg1.9560816e+16 erg
teraelectron volt1.2208901e+16 TeV
microjoule1.9560816e+15 µJ
millijoule1,956,081,600,000 mJ
inch-pound17,312,781,000 in·lb
joule1,956,081,600 J
foot-pound1,442,731,800 ft⋅lb
calorie467,514,730 cal
calorie (International Table)467,202,070 cal IT
kilojoule1,956,081.6 kJ
BTU (thermochemical)1,855,248.4 BTU th
British thermal unit1,854,007.7 BTU
watt-hour543,356.01 Wh
kilocalorie467,514.73 kcal
megajoule1,956.0816 MJ
horsepower-hour728.65241 hp·h
kilowatt-hour543.35601 kWh
therm18.540077 therm
gigajoule1.9560816 GJ
million BTU1.8540077 MMBTU
megawatt-hour0.54335601 MWh
ton of TNT0.46751473 t TNT
tonne of oil equivalent0.046720207 toe
terajoule0.0019560816 TJ
gigawatt-hour0.00054335601 GWh
kiloton of TNT0.00046751473 kt TNT
petajoule0.0000019560816 PJ
terawatt-hour5.4335601e-07 TWh
megaton of TNT4.6751473e-07 Mt TNT
quad1.8540077e-09 quad

Learning zone

Two ways of reading the same number make the Planck scale vivid. In particle terms it is 1.22 × 10¹⁹ GeV, a quadrillion times the LHC's 13.6 TeV, unreachable by any accelerator that fits in a solar system. In everyday terms it is 1.96 gigajoules — the kinetic energy of a 1.4-tonne car at about 190 km/h, or roughly half a tonne of TNT. The difference is that the Planck energy is concentrated on a single particle.

This is where the four forces are conjectured to unify and where a graviton exchange becomes as strong as a photon exchange. Nature does get close: the highest-energy cosmic ray ever recorded, the 1991 "Oh-My-God" particle, carried 3 × 10²⁰ eV — a single proton with the energy of a well-struck baseball, yet still eight orders of magnitude below E_P. Some quantum-gravity models predict tiny energy-dependent delays in gamma-ray bursts suppressed by E_P; none has been seen.