const:
  c = 2.998e+08
  G = 6.674e-11
  mu0 = 1.257e-06
  e = 1.602e-19
  me = 9.109e-31
  me_c2_MeV = 0.511
  hbar = 1.055e-34
  kB = 1.381e-23
  c4_over_G = 1.210e+44
  kappa_8piG_c4 = 2.077e-43
outer:
  R_free = 8
  D_free = 16
  R_outer = 11
  D_outer = 22
  layers:
    Wsteel:
      r_in = 8
      r_out = 8.9
      V = 808.3
      rho = 1.350e+04
      m = 1.091e+07
    water:
      r_in = 8.9
      r_out = 9.4
      V = 526.2
      rho = 1000
      m = 5.262e+05
    SiC:
      r_in = 9.4
      r_out = 10.9
      V = 1945
      rho = 2650
      m = 5.155e+06
    boro:
      r_in = 10.9
      r_out = 11
      V = 150.7
      rho = 2230
      m = 3.360e+05
  M_total = 1.693e+07
  inner_surface_area = 804.2
  free_volume = 2145
inner:
  a_out = 6
  b_out = 5
  pole_to_pole = 12
  equatorial_diam = 10
  layers:
    SiC:
      a_out = 6
      b_out = 5
      a_in = 5.1
      b_in = 4.1
      V = 269.2
      rho = 2650
      m = 7.134e+05
    Wsteel:
      a_out = 5.1
      b_out = 4.1
      a_in = 4.2
      b_in = 3.2
      V = 179
      rho = 1.350e+04
      m = 2.416e+06
    Pb:
      a_out = 4.2
      b_out = 3.2
      a_in = 3.2
      b_in = 2.2
      V = 115.3
      rho = 1.134e+04
      m = 1.307e+06
    water:
      a_out = 3.2
      b_out = 2.2
      a_in = 2.9
      b_in = 1.9
      V = 21.02
      rho = 1000
      m = 2.102e+04
  a_cav = 2.9
  b_cav = 1.9
  cavity_height = 5.8
  cavity_width = 3.8
  V_cavity = 43.85
  M_total = 4.458e+06
  outer_surface_area = 356.8
  V_outer = 628.3
  gap_pole = 2
  gap_equator = 3
  wall_thickness = 3.1
masses_stated_by_author:
  outer_t = 150
  inner_t = 90
electrons:
  V_arc = 2.500e+07
  I_nom = 0.002
  I_ranges:
    start_min = 5.000e-05
    start_max = 2.000e-04
    run_min = 5.000e-04
    run_max = 0.002
  E_kin_MeV = 25
  gamma = 49.92
  beta = 0.9998
  one_minus_beta = 2.006e-04
  v_mps = 2.997e+08
  p_MeV_c = 25.51
  L_path = 18.88
  t_transit = 6.300e-08
  N_in_flight = 7.864e+08
  E_in_flight_J = 0.003214
  KE_in_flight_J = 0.00315
  sheath_area = 427
  sheath_volume = 128.1
  n_e_m3 = 6.139e+06
  n_e_cm3 = 6.139
  u_J_m3 = 2.509e-05
  plasma_freq_Hz = 2.225e+04
  P_beam_W = 5.000e+04
  electrons_per_s = 1.248e+16
  electrons_per_day = 1.079e+21
  B_guide_assumed = 0.1
  larmor_radius_m = 0.8508
  B_self_T = 3.636e-11
  proper_time_per_lab_day_s = 1731
  proper_time_per_lab_day_min = 28.84
laser:
  P = 2.000e+04
  wavelength = 1.070e-06
  photon_eV = 1.159
  E_in_flight_J = 0.00126
  u_J_m3 = 9.834e-06
  I_focus_W_cm2 = 2.546e+10
  inverse_compton_max_keV = 11.55
  a0_focused = 1.460e-04
  radiation_force_N = 6.671e-05
  energy_per_day_J = 1.728e+09
magnet:
  B0 = 2
  u_B_J_m3 = 1.592e+06
  E_cavity_J = 6.979e+07
  E_total_J = 1.396e+08
  B_at_outer_pole_est = 0.2258
  magnetic_pressure_Pa = 1.592e+06
electrodes:
  r = 0.05
  h = 0.2
  m = 30.94
  I = 0.03868
  rpm = 700
  omega = 73.3
  KE_rot_J = 103.9
  J_kg_m2_s = 2.835
  v_rim = 3.665
  f_vib = 100
  A_vib_assumed = 0.001
  v_vib = 0.6283
  acc_vib_g = 40.24
  KE_vib_J = 6.108
  P_GW_W = 3.464e-45
  P_GW_antiphase_W = 6.875e-38
  E_GW_day_J = 2.993e-40
  area = 0.07854
  heating_rate_K_s = 11.54
  T_equilibrium_K = 2302
  T_melt_WRe_K = 3393
gas:
  P_Pa = 2.026e+04
  P_Torr = 152
  T = 300
  x_CH4 = 0.03
  n_m3 = 4.893e+24
  rho_kg_m3 = 0.0198
  L_jet = 1
  X0_mix_gcm2 = 58.89
  thickness_gcm2 = 0.00198
  t_over_X0 = 3.362e-05
  dE_MeV = 0.008117
  pair_yield_per_e = 1.807e-09
  positrons_per_s_gas = 2.255e+07
  positrons_per_day_gas = 1.948e+12
  T_sublimation_carbon_1atm_K = 3900
  T_carbon_vapour_0p2atm_K = 3650
positrons:
  Y_rad = 0.441
  X0_W_cm = 0.3504
  Y_thin = 0.023
  Y_thick = 0.001
  Y_created = 0.5
  per_current:
    I_2mA:
      I = 0.002
      e_per_s = 1.248e+16
      fast_thin_per_s = 2.871e+14
      fast_thin_per_day = 2.481e+19
      mass_thin_ng = 22.6
      fast_thick_per_s = 1.248e+13
      fast_thick_per_day = 1.079e+18
      mass_thick_ng = 0.9825
      created_per_s = 6.242e+15
      created_per_day = 5.393e+20
    I_0p5mA:
      I = 5.000e-04
      e_per_s = 3.121e+15
      fast_thin_per_s = 7.178e+13
      fast_thin_per_day = 6.202e+18
      mass_thin_ng = 5.649
      fast_thick_per_s = 3.121e+12
      fast_thick_per_day = 2.696e+17
      mass_thick_ng = 0.2456
      created_per_s = 1.560e+15
      created_per_day = 1.348e+20
    I_200uA:
      I = 2.000e-04
      e_per_s = 1.248e+15
      fast_thin_per_s = 2.871e+13
      fast_thin_per_day = 2.481e+18
      mass_thin_ng = 2.26
      fast_thick_per_s = 1.248e+12
      fast_thick_per_day = 1.079e+17
      mass_thick_ng = 0.09825
      created_per_s = 6.242e+14
      created_per_day = 5.393e+19
  mod_eff = 0.001
  trap_eff = 0.2
  slow_per_s = 2.871e+11
  trapped_per_s = 5.742e+10
  N_traps = 100
  cap_per_trap = 1.000e+11
  N_store_max = 1.000e+13
  store_mass_fg = 9.109
  t_fill_s = 174.1
  annihilation_energy_day_J = 4.062e+06
  annihilation_energy_day_kWh = 1.128
  beam_energy_day_kWh = 1200
  energy_ratio = 9.402e-04
  threshold_pair_MeV = 1.022
  threshold_muon_pair_MeV = 211.3
  threshold_antiproton_fixed_target_GeV = 5.628
  price_positron_per_g = 2.500e+10
  price_antiproton_per_g = 6.250e+13
  value_positrons_2mA_usd = 564.9
  value_if_priced_as_antiprotons_usd = 1.412e+06
  photons_511keV_per_day = 1.079e+21
radiation:
  n_yield_per_kW = 1.500e+12
  n_rate = 7.500e+13
  n_per_day = 6.480e+18
  attenuation_inner = 3.824e-16
  flux_cavity_cm2_s = 6.340e-09
  dose_cavity_Sv_day = 2.191e-13
  gamma_attenuation_inner = 2.859e-38
  dose_outside_12m_Sv_day = 1.481e-11
  LD50_minipig_Gy = 1.73
  occupational_limit_mSv_yr = 20
  brems_power_W = 2.205e+04
entanglement:
  pairs_created_per_day = 5.393e+20
  entangled_photon_pairs_per_day = 5.393e+20
  photon_mfp_W_cm = 1
  decoherence_time_s = 3.336e-11
diamond:
  area_sub = 1
  rates:
    low:
      rate_um_h = 1
      thickness_um = 24
      mass_kg = 0.08424
      carats = 421.2
    nominal:
      rate_um_h = 3
      thickness_um = 72
      mass_kg = 0.2527
      carats = 1264
    high:
      rate_um_h = 5
      thickness_um = 120
      mass_kg = 0.4212
      carats = 2106
  price_rough_ct = (20, 25)
  price_plate_mm2 = 9
  value_rough_nominal_usd = 2.843e+04
  value_plate_optimistic_usd = 1.000e+06
diamond_fop:
  area_in = 1
  area_out = 1
  rate_nom = 3
  m_poly_set_kg = 0.2527
  m_poly_total_kg = 0.5054
  ct_poly_total = 2527
  N_seeds = 1000
  seed_mm = 7
  rate_sc = 20
  m_sc_day_kg = 0.08256
  ct_sc_rough = 412.8
  ct_sc_polished = 165.1
  days_per_1ct_stone = 7.292
  value_sc_rough_usd = 9081
  value_sc_polished_usd = 7.430e+04
  value_poly_low_usd = 3.000e+05
  value_poly_high_usd = 3.000e+06
  market_heat_spreaders_2025_busd = 0.35
  market_heat_spreaders_2035_busd = 0.75
life_support:
  V_cavity = 43.85
  O2_m3 = 9.187
  O2_used_day_m3 = 0.1728
  O2_fraction_used = 0.01881
  CO2_end_percent = 0.394
  pig_mass_kg = 9
  metabolic_W = 35
gr_walls:
  Phi_inner_walls = -7.974e-05
  Phi_outer_walls = -1.258e-04
  Phi_ref_12m = -1.190e-04
  dPhi = -8.662e-05
  dPhi_over_c2 = -9.638e-22
  dt_per_day_s = -8.327e-17
  earth_GM_Rc2 = 6.961e-10
  gh_c2_per_m = 1.092e-16
gr_components:
  electron_sheath:
    E_J = 0.003214
    f = 2
    M_active_kg = 7.153e-20
    R_eff_m = 5.8
    Phi = -8.231e-31
    Phi_over_c2 = -9.158e-48
    note = electrons in flight, 2 mA (f=2 upper bound; compensating stresses sit in anode/supports)
  laser_in_flight:
    E_J = 0.00126
    f = 2
    M_active_kg = 2.803e-20
    R_eff_m = 5.8
    Phi = -3.226e-31
    Phi_over_c2 = -3.589e-48
    note = 20 kW photons in flight over 19 m
  magnet_field:
    E_J = 1.396e+08
    f = 1
    M_active_kg = 1.553e-09
    R_eff_m = 2
    Phi = -5.183e-20
    Phi_over_c2 = -5.767e-37
    note = 2 T field energy incl. coil/structure stresses (Laue: f=1 for a bound static system)
  electrode_rotation:
    E_J = 207.8
    f = 1
    M_active_kg = 2.313e-15
    R_eff_m = 6.5
    Phi = -2.375e-26
    Phi_over_c2 = -2.642e-43
    note = two W-Re electrodes 700 rpm
  electrode_vibration:
    E_J = 12.22
    f = 1
    M_active_kg = 1.359e-16
    R_eff_m = 6.5
    Phi = -1.396e-27
    Phi_over_c2 = -1.553e-44
    note = 100 Hz, 1 mm
  gas_jet:
    E_J = 2149
    f = 1
    M_active_kg = 2.391e-14
    R_eff_m = 6
    Phi = -2.659e-25
    Phi_over_c2 = -2.959e-42
    note = thermal energy of jet gas
  heat_retained_1day:
    E_J = 6.048e+09
    f = 1
    M_active_kg = 6.729e-08
    R_eff_m = 4
    Phi = -1.123e-18
    Phi_over_c2 = -1.249e-35
    note = if all 24 h beam+laser energy were retained as heat (cooling off)
gr_field_sum:
  Phi = -5.183e-20
  Phi_over_c2 = -5.767e-37
  dt_per_day_s = -4.983e-32
  mass_equiv_heat_day_kg = 6.729e-08
compactness:
  shell_GM_Rc2 = 5.767e-37
  sheath_only = 1.275e-47
  walls = 9.638e-22
  E_needed_for_1em12_J = 3.631e+32
  E_needed_for_1em18_J = 3.631e+26
  E_needed_order_unity_J = 3.631e+44
  M_needed_order_unity_solar = 0.002031
  planck_energy_J = 1.956e+09
  world_electricity_year_J = 1.100e+20
gr_split:
  Phi_sheath = -1.146e-30
  Phi_sheath_over_c2 = -1.275e-47
  Phi_static = -5.183e-20
  Phi_static_over_c2 = -5.767e-37
  dt_sheath_day_s = -1.101e-42
  dt_static_day_s = -4.983e-32
xi:
  phi_sheath = 1.275e-47
  phi_static = 5.767e-37
  thresholds:
    CSAC_1e-11 = 1.000e-11
    CSAC_1e-12 = 1.000e-12
    Cs_fountain_1e-16 = 1.000e-16
    optical_1e-18 = 1.000e-18
    Bothwell_1e-20 = 1.000e-20
  xi_needed:
    CSAC_1e-11 = 7.845e+35
    CSAC_1e-12 = 7.845e+34
    Cs_fountain_1e-16 = 7.845e+30
    optical_1e-18 = 7.845e+28
    Bothwell_1e-20 = 7.845e+26
  xi_L1 = 3.921e+46
  Gamma_L1 = 49.92
  interior_min_per_lab_day_L1 = 28.84
  Gamma_L2_minus1 = 9.638e-22
  Gamma_L2_onoff_minus1 = 5.767e-37
  kappa_L1 = 8.014e+44
xi_bounds:
  kreuzer = 5.000e-05
  bartlett = 4.000e-12
  microscope_eta = 1.500e-15
  note = ξ−1 for static EM energy bounded ≲5e-2 (Kreuzer) to ≲4e-9 (Bartlett–Van Buren; EM binding fraction ~1e-3 of nuclear mass)
three_conditions:
  u_sheath = 2.509e-05
  u_laser = 9.834e-06
  u_magnet = 1.592e+06
  rest_energy_density:
    air = 1.079e+17
    Wsteel = 1.213e+21
    Pb = 1.019e+21
    SiC = 2.382e+20
  ratio_sheath_air = 2.327e-22
  ratio_magnet_air = 1.476e-11
  ratio_magnet_Wsteel = 1.312e-15
  total_volume_m3 = 5575
  GW_power_W = 3.464e-45
  quadrupole_note = steady CW operation: no time-varying quadrupole except electrode vibration
lorentz:
  gamma_electron = 49.92
  beta_electron = 0.9998
  gamma_laser = ∞ (null)
  gamma_capsule_kinematic = 1
  Gamma_interior_L2 = 1
  Gamma_interior_L2_minus1 = 9.638e-22
  Gamma_interior_L1 = 49.92
  electron_day_proper_min = 28.84
  interior_offset_L2_s_per_day = 8.327e-17
frame_dragging:
  J_electrodes = 5.671
  gm_electrodes = 3.325e-37
  J_sheath = 6.554e-21
  gm_sheath = 4.826e-58
  earth_J = 5.860e+33
  gm_earth_surface = 3.576e-16
  GPB_mas_yr = 39.2
screening:
  sheath_plasma_freq_Hz = 2.225e+04
  skin_depth_m = 2144
  sheath_n_cm3 = 6.139
  solar_wind_n_cm3 = 5
  casimir_u_J_m3 = -2.709e-29
  faraday_cage = 0.9 m W–steel wall
  gravity_screening = impossible (positive mass theorem; Le Floch & LeFloch 2024)
cosmology:
  H0 = 70
  hubble_radius_Gly = 13.97
  hubble_radius_Gpc = 4.283
  r_obs_Gly = 46.5
  v_rec_edge_over_c = 3.329
  diameter_growth_km_h = 7.186e+09
  author_figure_km_h = 7.200e+09
economics:
  unit_costs:
    Wsteel_per_kg = 50
    SiC_CMC_per_kg = 1000
    SiC_sintered_per_kg = 50
    Pb_per_kg = 1.87
    boro_per_kg = 5
  capex_items_CMC:
    Wsteel = 6.664e+08
    Pb = 2.445e+06
    boro = 1.680e+06
    magnets = 1.000e+08
    accelerator_25MV_50kW = 2.000e+07
    laser_20kW = 5.000e+05
    positron_traps_100 = 1.000e+08
    cavern = 2.000e+08
    clocks_instrumentation = 1.000e+07
    cameras_controls = 5.000e+06
    SiC = 5.869e+09
  capex_items_sintered:
    Wsteel = 6.664e+08
    Pb = 2.445e+06
    boro = 1.680e+06
    magnets = 1.000e+08
    accelerator_25MV_50kW = 2.000e+07
    laser_20kW = 5.000e+05
    positron_traps_100 = 1.000e+08
    cavern = 2.000e+08
    clocks_instrumentation = 1.000e+07
    cameras_controls = 5.000e+06
    SiC = 2.934e+08
  capex_total_CMC = 9.067e+09
  capex_total_sintered = 1.819e+09
  power_wall:
    beam_wallplug = 1.000e+05
    laser_wallplug = 5.000e+04
    cryogenics = 1.500e+05
    pumps_cooling_controls = 1.000e+05
  P_total_W = 4.000e+05
  kWh_per_day = 9600
  price_kWh = 0.12
  opex:
    electricity = 1152
    cryogens_gases = 5000
    staff = 1.000e+04
    maintenance_per_day = 4.984e+04
  opex_day = 6.600e+04
  depreciation_day_365runs = 2.492e+05
  depreciation_per_run_10runs = 9.097e+06
  revenue:
    fee_pig = 5.000e+06
    positrons = 564.9
    diamond_low = 2.843e+04
    diamond_high = 1.000e+06
  profit_run_with_fee_365 = 4.714e+06
  profit_run_with_fee_10 = -4.134e+06
  profit_run_no_fee_365 = -2.862e+05
  energy_in_kWh = 9600
  energy_out_positrons_kWh = 1.128
falcone_conti:
  E_pulse_J = 524
  pulses = 3.600e+07
  E_total_J = 1.886e+10
  dr_m = 7.000e-18
  BEF_laser_energy_day_J = 1.728e+09
chem_clock:
  delta_r = 0.001
  xi_bound = 7.845e+43
  xi_L1 = 3.921e+46
  ratio_L1 = 0.02003
  m_in_L1_g = 5.062
  margin_L1_over_bound = 499.8
  rows = [{'xi': 1, 'Gamma': 1.0, 'ratio': 1.0, 'm_in_g': 252.72, 'm_out_g': 252.72, 'm_total_g': 505.44}, {'xi': 10000000000.0, 'Gamma': 1.0, 'ratio': 1.0, 'm_in_g': 252.72, 'm_out_g': 252.72, 'm_total_g': 505.44}, {'xi': 1e+20, 'Gamma': 1.0, 'ratio': 1.0, 'm_in_g': 252.72, 'm_out_g': 252.72, 'm_total_g': 505.44}, {'xi': 1e+30, 'Gamma': 1.0, 'ratio': 1.0, 'm_in_g': 252.72, 'm_out_g': 252.72, 'm_total_g': 505.44}, {'xi': 1e+40, 'Gamma': 1.0000001274719306, 'ratio': 0.9999998725280856, 'm_in_g': 252.71996778529783, 'm_out_g': 252.72, 'm_total_g': 505.4399677852978}, {'xi': 1e+43, 'Gamma': 1.0001274962850069, 'ratio': 0.9998725199682236, 'm_in_g': 252.68778324636946, 'm_out_g': 252.72, 'm_total_g': 505.40778324636943}, {'xi': 1e+44, 'Gamma': 1.0012771616148344, 'ratio': 0.9987244674463815, 'm_in_g': 252.39764741304955, 'm_out_g': 252.72, 'm_total_g': 505.11764741304955}, {'xi': 1e+45, 'Gamma': 1.0129962234062173, 'ratio': 0.9871705114926121, 'm_in_g': 249.47773166441294, 'm_out_g': 252.72, 'm_total_g': 502.1977316644129}, {'xi': 1e+46, 'Gamma': 1.1585252057938773, 'ratio': 0.8631663730740773, 'm_in_g': 218.1394058032808, 'm_out_g': 252.72, 'm_total_g': 470.8594058032808}, {'xi': 3.9208591426173437e+46, 'Gamma': 49.92377959740412, 'ratio': 0.02003053470839369, 'm_in_g': 5.062116731505253, 'm_out_g': 252.72, 'm_total_g': 257.78211673150525}]
  xi_for_1pct = 7.845e+44
  xi_for_10pct = 7.845e+45
