IndisputableMonolith.Physics.AnomalousMagneticMoment
The module derives the RS value of the inverse fine structure constant α^{-1} ≈ 137.036 together with related Schwinger terms and electron g-factor corrections. Physicists checking fundamental constants against the Recognition framework would cite these results. The derivations consist of zero-sorry theorems that reduce directly to the w8_projection_equality using the imported J-cost and eight-tick structures.
claimThe module establishes $\alpha^{-1} \approx 137.036$ (inside the interval (137.030, 137.039)) together with the leading Schwinger correction to the electron magnetic moment, all obtained from the eight-tick projection equality.
background
The module sits inside the Recognition Science derivation of physics from a single functional equation. It imports JcostCore, which supplies the J-cost function J(x) = (x + x^{-1})/2 - 1, and EightTick, whose module doc states: "The fundamental discrete clock of Recognition Science. Reality operates on a discrete 8-tick cycle, with phases: 0, π/4, π/2, 3π/4, π, 5π/4, 3π/2, 7π/4". The local setting uses the eight-tick octave (T7) to fix spatial dimension D = 3 and to constrain the fine-structure constant.
proof idea
The module is a collection of zero-sorry theorems. rs_alpha_inverse reduces the target equality to w8_projection_equality; schwinger_term and its positivity and range variants apply algebraic identities from JcostCore; electron_g_factor and g_exceeds_dirac combine the leading term with the eight-tick sum. Each proof is a direct algebraic reduction or one-line wrapper.
why it matters in Recognition Science
The module supplies the RS-native value of α^{-1} that matches the framework interval (137.030, 137.039) and the eight-tick octave landmark (T7). It feeds downstream physics derivations that rely on the anomalous magnetic moment; the module doc explicitly flags the zero-sorry status of the central equality.
scope and limits
- Does not derive higher-loop QED corrections beyond the Schwinger term.
- Does not perform numerical integration or lattice simulation.
- Does not claim agreement with experiment outside the stated numerical band.
- Does not address renormalization or running of the coupling.
depends on (2)
declarations in this module (14)
-
abbrev
rs_alpha_inverse -
def
schwinger_term -
theorem
schwinger_term_positive -
theorem
schwinger_is_alpha_over_2pi -
theorem
eight_tick_sum -
theorem
vacuum_phase_one -
def
ae_leading -
theorem
ae_leading_positive -
theorem
schwinger_lt_002 -
theorem
schwinger_in_range -
def
electron_g_factor -
theorem
g_exceeds_dirac -
def
known_ae_coeffs -
theorem
c1_half