New code for TFP particle Zoo
So a derivation has shown that K could be described directly from dimensional closure. This doesn't change much other then its a different converging explanation. This added more details to the mixing angles so I added them here as well. Current version of my theory is 12.15 but this is taking closed statements form 12.12. I am working on closing all the open derivations to advance to version 13. This however keeps pulling me further and further into my section work as I'm now approaching the framework of sections 9-15. Much refinement is needed to clean these up before version 13. I just found this extremely pleasing and wanted to share the current work. Yet really the work in sections 9-19 are detailed explanations of the work I've already done in sections 1-8. We will see what I decide to do.
Code;
import numpy as np
import pandas as pd
# ============================================================
# TEMPORAL FLOW PHYSICS — PARTICLE ZOO SIMULATION
# Version: v12.12 (Pure Dimensional Derivation Update)
#
# Single empirical anchor: proton mass = 938.272 MeV
# Zero free parameters beyond pure dimensional substrate rules
#
# Upgrades:
# - Eliminated hardcoded K=12 in favor of K = pi2 * pi3
# - Handshake budget (H) and faces (F) derived dimensionally
# - Reactor Angle (theta_13) scale correction fully integrated
# ============================================================
# ============================================================
# SECTION 1: DIMENSIONAL DERIVATION SUBSTRATE CONSTANTS
# ============================================================
D = 3.0 # Spatial dimensions
pi2 = 3.0 # 2D simplex closure constant (triangle vertices)
pi3 = 4.0 # 3D simplex closure constant (tetrahedron vertices)
# Structural parameters derived purely from dimensional boundaries
K = pi2 * pi3 # Coordination number = 3 * 4 = 12
V = K # Total vertices dictated by boundary closure = 12
H = (pi2 * pi3) * (pi2 * pi3 - 1.0) # Handshake budget K*(K-1) = 132
# F = 20 derived from the topological restriction capacity of the 3D shell
F = pi2 * pi3 + pi3 * (pi3 / 2.0) # 12 + 8 = 20 faces
E = (pi2 * F) / 2.0 # Edge budget via 2D face sharing = 30
Phi = (1.0 + np.sqrt(5)) / 2.0 # Golden ratio phi_1 = 1.618034
phi3 = Phi / 2.0 # 3D coupling phi_3 = phi_1/2 = 0.809017
mu2 = np.sqrt(5.0) # T1 adjacency eigenvalue
# Laplacian eigenvalues
lambda1 = 5.0 - np.sqrt(5.0) # T1 gravity
lambda2 = 6.0 # H electromagnetism
lambda3 = 5.0 + np.sqrt(5.0) # T2 strong/weak
# Isoperimetric ratio Psi_sph derived via unit simplex constraints
VOL_ICO = (5.0/12.0) * (3.0 + np.sqrt(5.0))
AREA_ICO = 5.0 * np.sqrt(3.0)
PSI = (np.pi**(1.0/3.0) * (6.0 * VOL_ICO)**(2.0/3.0)) / AREA_ICO
delta = 1.0 - PSI # non-spatializable fraction
# SIMPLEX structural power ratio = (F/V) * (D/pi3)
# Reduces to: (20/12) * (3/4) = 5/4
SIMPLEX = (F / V) * (D / pi3)
# Shell closure constant pi_eff(12) = 3(sqrt(6) - sqrt(2))
pi_eff_12 = 3.0 * (np.sqrt(6.0) - np.sqrt(2.0))
Delta_pi = pi_eff_12 - pi2
# Routing phase parameter omega
omega_routing = H * PSI / (K * SIMPLEX)
# Proton-electron mass ratio OMEGA_OBJ
OMEGA_OBJ = (H**2 * K**2) / (F * omega_routing**2)
# Boson scale
BOSON_SCALE = H * PSI * Phi
# ============================================================
# SECTION 2: EMPIRICAL ANCHOR
# ============================================================
M_P = 938.272 # MeV — proton mass, single empirical input (§5.2.2)
# ============================================================
# SECTION 3: ROUTING COSTS (§4.5, §4.7)
# ============================================================
U_COST = 1.0 # CW helix, direct adjacency
D_COST = 1.0 + 1.0/H # CCW helix, parity residual +1/H
S_COST = Phi * (1.0 - 1.0/(2.0*H)) # strange quark, phi1 routing level
route_p = 2.0*U_COST + D_COST # proton route = 3 + 1/H
# Parity correction factor
PARITY = 1.0 - 1.0/(2.0*H) # = 1 - 1/264
# Shared-edge parity correction for Lambda (§4.7)
EPSILON_LAMBDA = 1.0 / (pi2 * K) # = 1/36
# ============================================================
# SECTION 4: LEPTON MASSES (§4L)
# ============================================================
# --- Electron ---
# Extended-shell four-orbit restriction formula (§4L.3, §4L.4)
# Denominator = pi3 * [ (pi2 * pi3)^2 + (pi2 * pi3 - 1) ] = 4 * 155 = 620
# Derivation: Core Volume Capacity (144) + Boundary Self-Exclusion Tax (11)
# scaled by the 3D linear traversal cost (pi3 = 4)
extended_shell_pairs = (pi2 * pi3)**2 + (pi2 * pi3 - 1.0) # 144 + 11 = 155
lepton_denom = pi3 * extended_shell_pairs # 4 * 155 = 620
route_e = (1.0 + 2.0/H) / lepton_denom # = 0.0016373
M_E = route_e * M_P / route_p
# --- Generation ladder exponents (§4L.5) ---
# e->mu: (pi2 * pi3) - 1 = 11 (T2 axial self-exclusion boundary tax)
# mu->tau: pi2 * (pi3 / 2) = 6 (H EM Laplacian uniform scaling)
E_total = ((pi2 * pi3) - 1.0) + pi2 * (pi3 / 2.0) # = 17.0
# Routing hierarchy corrections (§3.11.3, §4L.6)
delta_emu = +mu2 / (Phi * E_total) # site B, DIFFER condition
delta_mutau = -mu2 / E_total # terminal C, AGREE condition
E_mu_exp = ((pi2 * pi3) - 1.0) + delta_emu # 11 + delta
E_step_exp = pi2 * (pi3 / 2.0) + delta_mutau # 6 + delta
M_MU = M_E * Phi**E_mu_exp
M_TAU = M_MU * Phi**E_step_exp
# --- Neutrino mass scale (§4L.7) ---
M_NUE_EV = M_E * (1.0/H)**2 * (1.0/(2.0*H)) * 1.0e6 # eV
# ============================================================
# SECTION 5: BARYON MASSES (§4.7)
# ============================================================
def baryon_mass(n_u, n_d, n_s):
"""
Baryon mass (MeV) from routing costs and proton anchor.
M = M_p x route / route_p
"""
if (n_u, n_d, n_s) == (2, 1, 0): # Proton (uud)
route = 2.0*U_COST + D_COST
elif (n_u, n_d, n_s) == (1, 2, 0): # Neutron (udd)
route = U_COST + 2.0*D_COST
elif (n_u, n_d, n_s) == (1, 1, 1): # Lambda (uds)
s_eff = S_COST * (1.0 - EPSILON_LAMBDA)
route = U_COST + D_COST + s_eff
elif (n_u, n_d, n_s) == (1, 0, 2): # Xi0 (uss)
route = U_COST + 2.0*S_COST
elif (n_u, n_d, n_s) == (0, 0, 3): # Omega- (sss)
spin_align = 2.0*np.pi / K # spin-3/2 alignment cost (§4.6.3)
route = 3.0*S_COST + spin_align
else:
raise ValueError(f"Unsupported quark content (u={n_u}, d={n_d}, s={n_s})")
return M_P * route / route_p
# ============================================================
# SECTION 6: MESON MASSES (§4.8)
# ============================================================
# Pion: dual suppression by pi2 and mu2 (§4.8.2)
M_PI = M_P / (pi2 * mu2)
# Kaon: strange quark extension with phi3 = phi1/2 (§4.8.3)
M_K = M_PI * Phi * (pi2 - phi3)
# Vector mesons: phi3 alignment factor (§4.8.4)
M_RHO = M_P * phi3
M_KST = M_K * (1.0 + phi3)
# ============================================================
# SECTION 6a: ISOSPIN PARTNERS — pi0, K0 (§4.8.8)
# ============================================================
mu1 = 5.0 # uniform-mode (A-irrep) adjacency eigenvalue (§3.5.1)
# CCW parity residual (§4Q.2a)
DELTA_CCW = M_P / (H * route_p)
# Symmetric-channel EM cost: one-tick projection onto uniform mode
delta_EM_pi = DELTA_CCW * (mu1 / np.sqrt(K))
# Pion: quantum interference factor I_pi = 1/2
I_PI = 0.5
DELTA_M_PI = delta_EM_pi + (1.0 - I_PI) * DELTA_CCW # M(pi+) - M(pi0)
M_PI0 = M_PI - DELTA_M_PI
# Kaon: Level-1 inversion, conversion fraction (D-1)/D = 2/3 (§3.13)
delta_EM_K = -(D - 1.0)/D * DELTA_CCW
I_K = 1.0
DELTA_M_K = delta_EM_K - I_K * DELTA_CCW # M(K+) - M(K0)
M_K0 = M_K - DELTA_M_K
# ============================================================
# SECTION 7: BOSON MASSES (§4.10)
# ============================================================
# --- W boson (§4.10.1) ---
tau_W = Phi**2 / 2.0 # = 1.309017
M_W = (BOSON_SCALE / (2.0**tau_W)) * PARITY # GeV
# --- Z boson (§4.10.1a) ---
tau_Z = pi2 + (K - 1.0)/H + Delta_pi/Phi**2 # = 3.123756
sin2_thetaW = Phi**(-tau_Z) # = 0.22242
M_Z = M_W / np.sqrt(1.0 - sin2_thetaW) # GeV
# --- Higgs boson (§4.10.2) ---
D_seq = pi2**(Phi**2 / (2.0*pi2)) # = 1.615052
D_H = D_seq - 2.0/H # = 1.599901
M_H = BOSON_SCALE / D_H # GeV
# ============================================================
# SECTION 8: QUANTUM NUMBERS (§4.6)
# ============================================================
def quark_charge(winding):
if winding == "CW":
return +2.0/3.0
elif winding == "CCW":
return -1.0/3.0
return 0.0
def particle_charge(name):
table = {
"Electron": -1.0, "Muon": -1.0, "Tau": -1.0,
"nu_e": 0.0,
"pi+": +1.0, "K+": +1.0,
"rho+": +1.0, "K*+": +1.0,
"pi0": 0.0, "K0": 0.0,
"W+": +1.0, "Z0": 0.0, "H0": 0.0,
}
if name in table:
return table[name]
quark_map = {
"Proton": (2,1,0), "Neutron": (1,2,0),
"Lambda": (1,1,1), "Xi0": (1,0,2),
"Omega-": (0,0,3),
}
if name in quark_map:
n_u, n_d, n_s = quark_map[name]
return (n_u * quark_charge("CW")
+ (n_d + n_s) * quark_charge("CCW"))
return 0.0
def particle_spin(name):
if name in ["H0", "pi+", "K+", "pi0", "K0"]:
return 0.0
if name in ["W+", "Z0", "rho+", "K*+"]:
return 1.0
return 0.5
# Sanity checks
assert abs(particle_charge("Proton") - (+1.0)) < 1e-12
assert abs(particle_charge("Neutron") - ( 0.0)) < 1e-12
assert abs(particle_charge("Lambda") - ( 0.0)) < 1e-12
assert abs(particle_charge("Xi0") - ( 0.0)) < 1e-12
assert abs(particle_charge("Omega-") - (-1.0)) < 1e-12
# ============================================================
# SECTION 9: RESULTS TABLE
# ============================================================
particles = [
("Electron", "Lepton", M_E, 0.51100, "MeV", ""),
("Muon", "Lepton", M_MU, 105.66000, "MeV", ""),
("Tau", "Lepton", M_TAU, 1776.86000, "MeV", ""),
("nu_e", "Lepton", M_NUE_EV, 0.11000, "eV", ""),
("Proton", "Baryon", baryon_mass(2,1,0), 938.272, "MeV", "uud"),
("Neutron", "Baryon", baryon_mass(1,2,0), 939.565, "MeV", "udd"),
("Lambda", "Baryon", baryon_mass(1,1,1), 1115.683, "MeV", "uds"),
("Xi0", "Baryon", baryon_mass(1,0,2), 1314.860, "MeV", "uss"),
("Omega-", "Baryon", baryon_mass(0,0,3), 1672.450, "MeV", "sss"),
("pi+", "Meson", M_PI, 139.570, "MeV", "ud̄"),
("K+", "Meson", M_K, 493.677, "MeV", "us̄"),
("rho+", "Meson", M_RHO, 775.110, "MeV", "ud̄"),
("K*+", "Meson", M_KST, 891.670, "MeV", "us̄"),
("pi0", "Meson", M_PI0, 134.9768, "MeV", "uū/dd̄"),
("K0", "Meson", M_K0, 497.611, "MeV", "ds̄"),
("W+", "Boson", M_W, 80.377, "GeV", ""),
("Z0", "Boson", M_Z, 91.188, "GeV", ""),
("H0", "Boson", M_H, 125.200, "GeV", ""),
]
rows = []
for name, sector, pred, meas, unit, content in particles:
pct_error = (pred - meas) / meas * 100.0
accuracy = 100.0 - abs(pct_error)
charge = particle_charge(name)
spin = particle_spin(name)
rows.append((
name, sector, content,
charge, spin,
pred, meas, unit,
pct_error, accuracy
))
df = pd.DataFrame(rows, columns=[
"Particle", "Sector", "Content",
"Charge", "Spin",
"TFP Pred", "Measured", "Unit",
"% Error", "Accuracy %"
])
# ============================================================
# SECTION 10: FORMATTED OUTPUT
# ============================================================
W = 132 # print width
print()
print("=" * W)
print(" TEMPORAL FLOW PHYSICS — PARTICLE ZOO (v12.11)")
print(" Single empirical anchor: proton mass = 938.272 MeV")
print(" Zero free parameters beyond pure dimensional substrate rules")
print("=" * W)
for sector in ["Lepton", "Baryon", "Meson", "Boson"]:
sub = df[df["Sector"] == sector].copy()
print(f"\n{'─'*W}")
print(f" {sector.upper()} SECTOR")
print(f"{'─'*W}")
print(f" {'Particle':<12 harge="" ontent="">7} {'Spin':>5} "
f"{'TFP Pred':>14} {'Measured':>14} {'Unit':<5 error="" f="">10} {'Accuracy %':>11}")
print(f" {'─'*10} {'─'*6} {'─'*7} {'─'*5} "
f"{'─'*14} {'─'*14} {'─'*5} "
f"{'─'*10} {'─'*11}")
for _, r in sub.iterrows():
print(f" {r['Particle']:<12 f="" harge="" ontent="" r="">7.2f} {r['Spin']:>5.1f} "
f"{r['TFP Pred']:>14.4f} {r['Measured']:>14.4f} "
f"{r['Unit']:<5 error="" f="" r="">+10.4f} {r['Accuracy %']:>10.3f}%")
# Summary statistics
print(f"\n{'─'*W}")
print(" SUMMARY STATISTICS")
print(f"{'─'*W}")
mean_acc = df["Accuracy %"].mean()
worst = df.loc[df["Accuracy %"].idxmin()]
best = df.loc[df["Accuracy %"].idxmax()]
above99 = (df["Accuracy %"] >= 99.0).sum()
print(f" Particles predicted: {len(df)}")
print(f" Mean accuracy: {mean_acc:.3f}%")
print(f" Predictions >= 99.0%: {above99} / {len(df)}")
print(f" Best prediction: {best['Particle']:<12 -="" 1.0="" 11:="" 1="" 2.0="" 33.4="" 45.0="" 8.6="" 80="1.1037°" 88.2996="" allocation="" and="" angle="" apply="" article="" assignment="" base="" best="" by="" capacity="" ccuracy="" converted="" deg="" degrees="" delta_mix="" derivation="" derived="" descriptions="" eactor="" f="" face-quadrant="" flavor="" from="" gamma_deg="" gamma_raw="np.sqrt((F" geometric="" geometry="" global="" icosahedral="" interference="" ixing="" matrix="" mix="" mixing="" n="" np.arcsin="" np.pi="" np.sqrt="" olar="" parameter="" phase="" pi2="" pi3="" pi_d="" pmns_data="[" pred="" prediction:="" print="" quadrant="" ratio="" restriction="" s_mix="(pi3**3)" saturation="" scaled="" section="" sector="" self-exclusion="" space="" tax="" the="" theta_12="" theta_12_pred="" theta_13="" theta_13_pred="" theta_23="" theta_23_pred="" tmospheric="" to="" total="" volumetric="" worst="">14} {'Measured ~':>14} {'Unit':<5 ccuracy="">11}")
print(f" {'─'*25} {'─'*14} {'─'*14} {'─'*5} {'─'*11}")
for label, pred, meas, unit in pmns_data:
err = (pred - meas) / meas * 100.0
acc = 100.0 - abs(err)
print(f" {label:<25 pred:="">14.4f} {meas:>14.4f} {unit:<5 acc:="">10.3f}%")
# Derived constants
print(f"\n{'─'*W}")
print(" DERIVED GEOMETRIC CONSTANTS (all from pure dimensional closure, zero free parameters)")
print(f"{'─'*W}")
constants = [
("K (coordination number)", f"{K:.0f}"),
("H (handshake budget K(K-1))", f"{H:.0f}"),
("F (icosahedral faces)", f"{F:.0f}"),
("Psi_sph (isoperimetric closure)", f"{PSI:.6f}"),
("delta (non-spatializable fraction)", f"{delta:.6f}"),
("SIMPLEX (F/V x D/pi3)", f"{SIMPLEX:.6f}"),
("phi_1 (golden ratio)", f"{Phi:.6f}"),
("phi_3 = phi_1/2", f"{phi3:.6f}"),
("mu_2 = sqrt(5) (T1 adj. eigenval)", f"{mu2:.6f}"),
("pi_eff(12) = 3(sqrt6 - sqrt2)", f"{pi_eff_12:.6f}"),
("Delta_pi = pi_eff(12) - pi2", f"{Delta_pi:.6f}"),
("BOSON_SCALE = H x Psi x phi1", f"{BOSON_SCALE:.6f}"),
("OMEGA_OBJ (p/e mass ratio)",
f"{OMEGA_OBJ:.4f} (measured 1836.153, "
f"acc {100*(1-abs(OMEGA_OBJ-1836.153)/1836.153):.3f}%)"),
("omega_routing = H*Psi/(K*SIMPLEX)", f"{omega_routing:.6f}"),
("route_p = 2u + d", f"{route_p:.7f}"),
("route_e = (1+2/H)/620", f"{route_e:.7f}"),
("Lepton denominator (pi3 shell mapping)", f"{int(lepton_denom)}"),
("E_total (lepton ladder sum)", f"{E_total:.1f}"),
("delta(e->mu)", f"{delta_emu:+.6f}"),
("delta(mu->tau)", f"{delta_mutau:+.6f}"),
("E_mu exponent", f"{E_mu_exp:.6f}"),
("E_step exponent", f"{E_step_exp:.6f}"),
("tau_W = phi1^2/2", f"{tau_W:.6f}"),
("tau_Z = pi2+(K-1)/H+Dpi/phi1^2", f"{tau_Z:.6f}"),
("sin^2(theta_W) = phi1^(-tau_Z)",
f"{sin2_thetaW:.6f} (measured 0.22306, "
f"acc {100*(1-abs(sin2_thetaW-0.22306)/0.22306):.3f}%)"),
("D_seq (Higgs base)", f"{D_seq:.6f}"),
("D_H (Higgs denominator)", f"{D_H:.6f}"),
]
for label, value in constants:
print(f" {label:<42 pre="" print="" value="" w="">Results;
====================================================================================================================================
TEMPORAL FLOW PHYSICS — PARTICLE ZOO (v12.11)
Single empirical anchor: proton mass = 938.272 MeV
Zero free parameters beyond pure dimensional substrate rules
====================================================================================================================================
────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
LEPTON SECTOR
────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
Particle Content Charge Spin TFP Pred Measured Unit % Error Accuracy %
────────── ────── ─────── ───── ────────────── ────────────── ───── ────────── ───────────
Electron -1.00 0.5 0.5108 0.5110 MeV -0.0390 99.961%
Muon -1.00 0.5 105.7072 105.6600 MeV +0.0446 99.955%
Tau -1.00 0.5 1780.4978 1776.8600 MeV +0.2047 99.795%
nu_e 0.00 0.5 0.1110 0.1100 eV +0.9501 99.050%
────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
BARYON SECTOR
────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
Particle Content Charge Spin TFP Pred Measured Unit % Error Accuracy %
────────── ────── ─────── ───── ────────────── ────────────── ───── ────────── ───────────
Proton uud 1.00 0.5 938.2720 938.2720 MeV +0.0000 100.000%
Neutron udd 0.00 0.5 940.6354 939.5650 MeV +0.1139 99.886%
Lambda uds 0.00 0.5 1115.1993 1115.6830 MeV -0.0434 99.957%
Xi0 uss 0.00 0.5 1317.7001 1314.8600 MeV +0.2160 99.784%
Omega- sss -1.00 0.5 1671.9427 1672.4500 MeV -0.0303 99.970%
────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
MESON SECTOR
────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
Particle Content Charge Spin TFP Pred Measured Unit % Error Accuracy %
────────── ────── ─────── ───── ────────────── ────────────── ───── ────────── ───────────
pi+ ud̄ 1.00 0.0 139.8693 139.5700 MeV +0.2145 99.786%
K+ us̄ 1.00 0.0 495.8487 493.6770 MeV +0.4399 99.560%
rho+ ud̄ 1.00 1.0 759.0780 775.1100 MeV -2.0684 97.932%
K*+ us̄ 1.00 1.0 896.9987 891.6700 MeV +0.5976 99.402%
pi0 uū/dd̄ 0.00 0.0 135.2763 134.9768 MeV +0.2219 99.778%
K0 ds̄ 0.00 0.0 499.7877 497.6110 MeV +0.4374 99.563%
────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
BOSON SECTOR
────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
Particle Content Charge Spin TFP Pred Measured Unit % Error Accuracy %
────────── ────── ─────── ───── ────────────── ────────────── ───── ────────── ───────────
W+ 1.00 1.0 80.6633 80.3770 GeV +0.3562 99.644%
Z0 0.00 1.0 91.4753 91.1880 GeV +0.3150 99.685%
H0 0.00 0.0 125.3963 125.2000 GeV +0.1568 99.843%
────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
SUMMARY STATISTICS
────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
Particles predicted: 18
Mean accuracy: 99.642%
Predictions >= 99.0%: 17 / 18
Best prediction: Proton 100.0000%
Worst prediction: rho+ 97.9316%
────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
FLAVOR MIXING MATRIX DESCRIPTIONS (PMNS SECTOR)
────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
Mixing Angle TFP Pred Measured ~ Unit Accuracy %
───────────────────────── ────────────── ────────────── ───── ───────────
Atmospheric (theta_23) 45.0000 45.0000 deg 100.000%
Solar (theta_12) 33.7334 33.4000 deg 99.002%
Reactor (theta_13) 8.6052 8.6000 deg 99.939%
────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
DERIVED GEOMETRIC CONSTANTS (all from pure dimensional closure, zero free parameters)
────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
K (coordination number) 12
H (handshake budget K(K-1)) 132
F (icosahedral faces) 20
Psi_sph (isoperimetric closure) 0.939326
delta (non-spatializable fraction) 0.060674
SIMPLEX (F/V x D/pi3) 1.250000
phi_1 (golden ratio) 1.618034
phi_3 = phi_1/2 0.809017
mu_2 = sqrt(5) (T1 adj. eigenval) 2.236068
pi_eff(12) = 3(sqrt6 - sqrt2) 3.105829
Delta_pi = pi_eff(12) - pi2 0.105829
BOSON_SCALE = H x Psi x phi1 200.621630
OMEGA_OBJ (p/e mass ratio) 1836.0422 (measured 1836.153, acc 99.994%)
omega_routing = H*Psi/(K*SIMPLEX) 8.266066
route_p = 2u + d 3.0075758
route_e = (1+2/H)/620 0.0016373
Lepton denominator (pi3 shell mapping) 620
E_total (lepton ladder sum) 17.0
delta(e->mu) +0.081292
delta(mu->tau) -0.131533
E_mu exponent 11.081292
E_step exponent 5.868467
tau_W = phi1^2/2 1.309017
tau_Z = pi2+(K-1)/H+Dpi/phi1^2 3.123756
sin^2(theta_W) = phi1^(-tau_Z) 0.222420 (measured 0.22306, acc 99.713%)
D_seq (Higgs base) 1.615052
D_H (Higgs denominator) 1.599901
====================================================================================================================================
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