Quantum Gravity — Computational Programs

Interactive Python programs exploring Planck scale physics, Loop Quantum Gravity, Causal Dynamical Triangulations, String Theory, Hawking radiation, Asymptotic Safety, Causal Sets, and AdS/CFT holography. Adjust parameters and run server-side.

1. Planck Scale Calculator

Compute all Planck units and compare with collider energies. Demonstrates the vast gap between current experiments and the Planck scale.

1. Planck Scale Calculator

Python

Compute all Planck units and compare with collider energies. Demonstrates the vast gap between current experiments and the Planck scale.

Parameters

Collider Energy (TeV)

Collider energy to compare with Planck scale

planck_scale.py46 lines

import math

# Fundamental constants
hbar = 1.054571817e-34   # J·s
G    = 6.67430e-11       # m³ kg⁻¹ s⁻²
c    = 2.99792458e8      # m/s
kB   = 1.380649e-23      # J/K

# Planck units
l_P = math.sqrt(hbar * G / c**3)
t_P = math.sqrt(hbar * G / c**5)
m_P = math.sqrt(hbar * c / G)
E_P = m_P * c**2
T_P = E_P / kB

print("=" * 50)
print("         PLANCK SCALE SUMMARY")
print("=" * 50)
print(f"  Planck length  lP = {l_P:.4e} m")
print(f"  Planck time    tP = {t_P:.4e} s")
print(f"  Planck mass    mP = {m_P:.4e} kg")
print(f"  Planck energy  EP = {E_P:.4e} J")
print(f"  Planck temp    TP = {T_P:.4e} K")
print()

# Compare with LHC
ENERGY_TEV = 14
E_LHC_TeV = ENERGY_TEV
E_LHC = E_LHC_TeV * 1e12 * 1.602e-19
ratio = E_P / E_LHC
print(f"  Comparison with collider energy ({E_LHC_TeV:.0f} TeV):")
print(f"  E_Planck / E_collider = {ratio:.2e}")
print(f"  ({math.log10(ratio):.1f} orders of magnitude gap)")
print()

# Schwarzschild radius of Planck mass
r_s = 2 * G * m_P / c**2
print(f"  Schwarzschild radius of mP: {r_s:.4e} m")
print(f"  = {r_s/l_P:.2f} x lP  (gravity dominates at Planck scale)")
print()

# Planck density
rho_P = m_P / l_P**3
print(f"  Planck density: {rho_P:.4e} kg/m³")
print(f"  Planck pressure: {rho_P * c**2:.4e} Pa")

Click Run to execute the Python code

Code will be executed with Python 3 on the server