
This strategy is an innovative quantitative trading system that integrates principles from quantum mechanics, statistics, and economics. It constructs a comprehensive market analysis framework by combining Simple Moving Average (SMA), Z-Score statistical analysis, quantum oscillation component, economic momentum indicators, and the Lyapunov stability index. The strategy’s core generates a Composite Outlook Index (COI) through weighted combinations of these multi-dimensional indicators to guide trading decisions.
The strategy is built on five main technical pillars: 1. Statistical analysis module uses SMA and standard deviation to calculate Z-Score, evaluating relative price positions. 2. Quantum component transforms Z-Score into an oscillator, simulating quantum state fluctuations through exponential and sine functions. 3. Economic component measures market momentum using the logarithmic ratio of fast and slow EMAs. 4. Lyapunov index assesses market stability by analyzing the combined stability of quantum and economic components. 5. Composite Outlook Index (COI) integrates all components with different weights to form final trading signals.
This is an innovative quantitative trading strategy that builds a comprehensive market analysis framework by integrating multi-disciplinary theories. While there are areas for optimization, its multi-dimensional analysis approach provides unique perspectives for trading decisions. Through continuous optimization and risk management improvements, the strategy shows promise for maintaining stable performance across different market environments.
/*backtest
start: 2024-03-08 18:40:00
end: 2024-11-01 00:00:00
period: 1h
basePeriod: 1h
exchanges: [{"eid":"Binance","currency":"ETH_USDT"}]
*/
// This Pine Script™ code is subject to the terms of the Mozilla Public License 2.0 at https://mozilla.org/MPL/2.0/
// © Quantum-Lukas 2.0
//@version=6
strategy("Quantum Spectral Crypto Trading", shorttitle="QSCT", overlay=true, precision=2)
// ──────────────────────────────────────────────────────────────
// Input Parameters
// ──────────────────────────────────────────────────────────────
smaLength = input.int(50, title="SMA Length (Quantum & Statistical Component)", minval=1)
emaFastLength = input.int(20, title="EMA Fast Length (Economic Component)", minval=1)
emaSlowLength = input.int(50, title="EMA Slow Length (Economic Component)", minval=1)
quantumWeight = input.float(20.0, title="Quantum Component Weight", step=0.1)
economicWeight = input.float(30.0, title="Economic Component Weight", step=0.1)
statisticalWeight = input.float(20.0, title="Statistical Component Weight", step=0.1)
lyapunovWeight = input.float(10.0, title="Lyapunov Stability Weight", step=0.1)
// ──────────────────────────────────────────────────────────────
// Price Averages and Volatility Calculation
// ──────────────────────────────────────────────────────────────
smaPrice = ta.sma(close, smaLength)
stdevPrice = ta.stdev(close, smaLength)
// ──────────────────────────────────────────────────────────────
// Statistical Component: z-score Calculation
// ──────────────────────────────────────────────────────────────
z = (close - smaPrice) / stdevPrice
// ──────────────────────────────────────────────────────────────
// Quantum Component: Inspired by Quantum Mechanics
// ──────────────────────────────────────────────────────────────
quantum_component = math.exp(-0.5 * z * z) * (1 + math.sin((math.pi / 2) * z))
// ──────────────────────────────────────────────────────────────
// Economic Component: EMA Ratio as a Proxy for Market Momentum
// ──────────────────────────────────────────────────────────────
emaFast = ta.ema(close, emaFastLength)
emaSlow = ta.ema(close, emaSlowLength)
economic_component = math.log(emaFast / emaSlow)
// ──────────────────────────────────────────────────────────────
// Lyapunov Exponent for Market Stability (Prevents Log(0) Error)
// ──────────────────────────────────────────────────────────────
lyapunov_index = ta.sma(math.log(math.max(1e-10, math.abs(economic_component + quantum_component))), smaLength)
// ──────────────────────────────────────────────────────────────
// Composite Crypto Outlook Index Calculation (Fixed Indentation)
// ──────────────────────────────────────────────────────────────
crypto_outlook_index =
50 + quantumWeight * (quantum_component - 1) +
economicWeight * economic_component +
statisticalWeight * z +
lyapunovWeight * lyapunov_index
// ──────────────────────────────────────────────────────────────
// Plotting and Visual Enhancements
// ──────────────────────────────────────────────────────────────
// Normalized for better visibility in the BTC/USD chart range
normalized_outlook_index = (crypto_outlook_index - 50) * close / 100
plot(normalized_outlook_index, title="Scaled Crypto Outlook Index", color=color.blue, linewidth=2)
// Debugging: Plot each component separately
plot(quantum_component, title="Quantum Component", color=color.purple, linewidth=1)
plot(economic_component, title="Economic Component", color=color.orange, linewidth=1)
plot(z, title="Statistical Component (Z-Score)", color=color.yellow, linewidth=1)
plot(lyapunov_index, title="Lyapunov Stability Index", color=color.aqua, linewidth=1)
hline(50, title="Neutral Level", color=color.gray)
hline(70, title="Bullish Threshold", color=color.green, linestyle=hline.style_dotted)
hline(30, title="Bearish Threshold", color=color.red, linestyle=hline.style_dotted)
// Background color for bullish/bearish conditions
bgcolor(crypto_outlook_index > 50 ? color.new(color.green, 90) : color.new(color.red, 90), title="Outlook Background")
// ──────────────────────────────────────────────────────────────
// Trading Strategy: Entry and Exit Conditions (Fixed Errors)
// ──────────────────────────────────────────────────────────────
// Define entry conditions
longCondition = crypto_outlook_index > 70
shortCondition = crypto_outlook_index < 30
// Execute long entry
if (longCondition)
strategy.entry("Long", strategy.long)
// Execute short entry
if (shortCondition)
strategy.entry("Short", strategy.short)
// Define exit conditions (Added Stop Losses)
if (crypto_outlook_index < 50)
strategy.exit("Exit Long", from_entry="Long", stop=low)
if (crypto_outlook_index > 50)
strategy.exit("Exit Short", from_entry="Short", stop=high)