mars_energy.py

# General formula for the issuance of a new currency around the concept of optimizing the energy efficiency of life on mars starting with the energy cost to move one kilo to Mars. 
# Grok picked up where ChatGPT left off https://x.com/grok/status/1982158048404943086

import math

def e_kg(delta_v, v_e, k_d, eta):
    r = math.exp(delta_v / v_e)
    return (0.5 * v_e**2 * (r - 1) * (1 + k_d)) / eta

def mint_reward(e_base, e_meas, m_delivered, alpha=1):
    return alpha * (e_base - e_meas) * m_delivered

def rd_yield(p_s, future_savings, dev_cost, risk_factor, num_missions, discount_rate=0.95):
    discounted_savings = sum(future_savings * (discount_rate ** t) for t in range(num_missions))
    return p_s * (discounted_savings - dev_cost) / risk_factor

# Example: Mars (Δv=11000 m/s, v_e=4500 m/s)
e_base = e_kg(11000, 4500, 0.1, 0.9)
e_meas = e_kg(11000, 4500, 0.08, 0.92)  # Optimized
reward = mint_reward(e_base, e_meas, 1000)  # 1 ton delivered
rd = rd_yield(0.6, 2e6, 5e6, 1.5, 10)
total_r = reward + 0.1 * rd * 1000  # δ=0.1, projected mass

print(total_r)