Update mu_0, alpha to enforce consistency between constants

Author: EZoni

multi_physics/QED/QED_tests/test_picsar_phys_constants.cpp

@@ -51,9 +51,9 @@ void test_case_const_phys()
     const auto exp_vacuum_permittivity =
         static_cast<RealType>(8.8541878188e-12);
     const auto exp_vacuum_permeability =
-        static_cast<RealType>(1.25663706127e-6);
+        static_cast<RealType>(1.2566370612685e-6);
     const auto exp_fine_structure =
-        static_cast<RealType>(0.0072973525643);
+        static_cast<RealType>(0.0072973525643330135);
     const auto exp_eV =
         static_cast<RealType>(1.602176634e-19);
     const auto exp_KeV =

multi_physics/QED/include/picsar_qed/physics/phys_constants.h

@@ -28,10 +28,10 @@ namespace picsar::multi_physics::phys
     constexpr auto vacuum_permittivity = RealType(8.8541878188e-12);
 
     template<typename RealType = double>
-    constexpr auto vacuum_permeability = RealType(1.25663706127e-6);
+    constexpr auto vacuum_permeability = RealType(1.2566370612685e-6);
 
     template<typename RealType = double>
-    constexpr auto fine_structure =  RealType(0.0072973525643);
+    constexpr auto fine_structure =  RealType(0.0072973525643330135);
 
     template<typename RealType = double>
     constexpr auto eV = RealType(elementary_charge<>);
@@ -52,7 +52,7 @@ namespace picsar::multi_physics::phys
     //(unfortunately, sqrt is not constexpr)
     template<typename RealType = double>
     constexpr auto sqrt_4_pi_fine_structure =
-        RealType(0.3028221207683449);
+        RealType(0.3028221207690299);
 
     //
     template<typename RealType = double>