pith. sign in
def

lamb_shift_ueV

definition
show as:
module
IndisputableMonolith.QFT.LambShift
domain
QFT
line
112 · github
papers citing
none yet

plain-language theorem explainer

The definition supplies the numerical value of the Lamb shift energy difference as 4.4 microelectronvolts for Recognition Science QFT calculations. Physicists comparing vacuum fluctuation models to hydrogen level splittings would cite it when checking consistency with the 1057 MHz experimental shift. It is introduced as a direct rational constant assignment.

Claim. The Lamb shift energy difference equals $4.4$ μeV.

background

The module QFT.LambShift targets derivation of the Lamb shift from vacuum J-cost fluctuations. The Lamb shift is the small energy difference between the 2S₁/₂ and 2P₁/₂ levels of hydrogen; without QED these levels are degenerate, while vacuum fluctuations raise the 2S level. In Recognition Science these fluctuations are ledger J-cost variations that modify orbital J-cost and produce the observed shift.

proof idea

Direct constant definition that assigns the rational value 44/10.

why it matters

This definition supplies the numerical input for the downstream theorem s_higher_than_p_by_lamb_shift that proves the 2S level lies above the 2P level. It fills the QFT-012 target of obtaining the Lamb shift from J-cost fluctuations and connects to the Recognition Science framework where vacuum J-cost drives level shifts. The value is chosen to match the experimental scale once converted to frequency units.

Switch to Lean above to see the machine-checked source, dependencies, and usage graph.