OPEN-SOURCE SCRIPT
업데이트됨 Bitcoin Power Law Corridor (Santostasi)
This macro indicator plots the Bitcoin Power Law Corridor, based on the renowned mathematical model popularized by astrophysicist Giovanni Santostasi and researcher HC Burger. Unlike traditional financial models that rely on human assumptions (like the failed Stock-to-Flow model), the Power Law is a scientific theory based on organic network growth, similar to structures found in physics and biology.
Bitcoin does not grow exponentially forever; instead, it follows a sub-exponential growth curve with diminishing relative returns but massive absolute gains. This script tracks that exact path and resolves a common limitation in TradingView by using advanced time-based trendlines to project the bands into the empty future canvas.
How the Math Works
The indicator calculates the fair value of Bitcoin using the time elapsed since the Genesis Block (January 3, 2009) raised to a specific power (exponent n ≈ 5.845).
This growth pattern mimics two fundamental natural laws:
1. Kleiber's Law (Biology): Demonstrates that as living organisms grow larger, their energy efficiency increases scalingly. Similarly, the Bitcoin network becomes more robust and stable as it grows.
2. Urban Scaling Laws (Cities): Cities like Rome or New York grow organically according to a power law. Because millions of people freely choose to interact within them, they compound over centuries without a single point of failure. Bitcoin's price chart directly mirrors this organic network density.
The Three Structural Bands
On a Logarithmic scale, this indicator displays three vital structural milestones:
Blue Line (Fair Value): The mathematical median and fundamental fair price of Bitcoin based on Metcalfe's Law (network effects) and global adoption.
Green Dashed Line (The Floor): The ultimate macro defense line (calculated around the P10 percentile). Historically, Bitcoin has never closed a weekly candle below this hard floor. It serves as the ultimate long-term accumulation zone.
Red Dashed Line (The Ceiling): The overextension/bubble band. When price approaches this line, the market is historically overextended (e.g., 2013 and 2017) and highly risky.
Key Features of this Script
Future Projection: Standard TradingView lines stop at the current live bar. This script bypasses that limitation using line.new segments, allowing you to drag the chart to the left and view the exact mathematical support and resistance targets for 2028, 2034, and beyond.
Fully Customizable: You can tweak the Genesis date, change the power law exponent, or adjust the log-offsets for the floor and ceiling bands in the settings menu.
CRITICAL INSTRUCTION
This indicator MUST be viewed on a Logarithmic Scale (LOG).
Click the 'LOG' button in the bottom-right corner of your TradingView chart.
On a standard linear scale, the bands will be completely distorted and unusable.
Best viewed on the Daily (1D) or Wekely (1W) timeframe.
Bitcoin does not grow exponentially forever; instead, it follows a sub-exponential growth curve with diminishing relative returns but massive absolute gains. This script tracks that exact path and resolves a common limitation in TradingView by using advanced time-based trendlines to project the bands into the empty future canvas.
How the Math Works
The indicator calculates the fair value of Bitcoin using the time elapsed since the Genesis Block (January 3, 2009) raised to a specific power (exponent n ≈ 5.845).
This growth pattern mimics two fundamental natural laws:
1. Kleiber's Law (Biology): Demonstrates that as living organisms grow larger, their energy efficiency increases scalingly. Similarly, the Bitcoin network becomes more robust and stable as it grows.
2. Urban Scaling Laws (Cities): Cities like Rome or New York grow organically according to a power law. Because millions of people freely choose to interact within them, they compound over centuries without a single point of failure. Bitcoin's price chart directly mirrors this organic network density.
The Three Structural Bands
On a Logarithmic scale, this indicator displays three vital structural milestones:
Blue Line (Fair Value): The mathematical median and fundamental fair price of Bitcoin based on Metcalfe's Law (network effects) and global adoption.
Green Dashed Line (The Floor): The ultimate macro defense line (calculated around the P10 percentile). Historically, Bitcoin has never closed a weekly candle below this hard floor. It serves as the ultimate long-term accumulation zone.
Red Dashed Line (The Ceiling): The overextension/bubble band. When price approaches this line, the market is historically overextended (e.g., 2013 and 2017) and highly risky.
Key Features of this Script
Future Projection: Standard TradingView lines stop at the current live bar. This script bypasses that limitation using line.new segments, allowing you to drag the chart to the left and view the exact mathematical support and resistance targets for 2028, 2034, and beyond.
Fully Customizable: You can tweak the Genesis date, change the power law exponent, or adjust the log-offsets for the floor and ceiling bands in the settings menu.
CRITICAL INSTRUCTION
This indicator MUST be viewed on a Logarithmic Scale (LOG).
Click the 'LOG' button in the bottom-right corner of your TradingView chart.
On a standard linear scale, the bands will be completely distorted and unusable.
Best viewed on the Daily (1D) or Wekely (1W) timeframe.
릴리즈 노트
What Changed in This Update?- Fixed the "Ghosting" Line Bug: Previously, the script drew new future lines on every single live price tick without deleting the old ones. This accumulated hundreds of duplicate, invisible lines that severely slowed down browser performance. This update introduces an automated clean-up system (array.delete) to wipe the old projection before drawing the new one.
- Mathematically Precise Sigma Bands: Instead of using arbitrary static offsets (-0.40 and 0.45), the bands are now built directly on Bitcoin's official historical log-standard deviation (σ ≈ 0.1615). You can now scale the corridor dynamically using the Sigma Bands Multiplier in the settings menu (Santostasi uses 2.5 for absolute macro extremes).
- Seamless Line Alignment: Corrected a minor mathematical indexing bug (i - 5 while i = 1) in the initial loop iteration that forced the first future segment to reach four days backward into past data. The future dashed lines now attach seamlessly to the live candle.
- Dynamic Future Labels: Added highly readable, real-time price tags at the very tip of the 750-day projection so you can quickly see the exact dollar values predicted for that future date.
오픈 소스 스크립트
트레이딩뷰의 진정한 정신에 따라, 이 스크립트의 작성자는 이를 오픈소스로 공개하여 트레이더들이 기능을 검토하고 검증할 수 있도록 했습니다. 작성자에게 찬사를 보냅니다! 이 코드는 무료로 사용할 수 있지만, 코드를 재게시하는 경우 하우스 룰이 적용된다는 점을 기억하세요.
면책사항
해당 정보와 게시물은 금융, 투자, 트레이딩 또는 기타 유형의 조언이나 권장 사항으로 간주되지 않으며, 트레이딩뷰에서 제공하거나 보증하는 것이 아닙니다. 자세한 내용은 이용 약관을 참조하세요.
오픈 소스 스크립트
트레이딩뷰의 진정한 정신에 따라, 이 스크립트의 작성자는 이를 오픈소스로 공개하여 트레이더들이 기능을 검토하고 검증할 수 있도록 했습니다. 작성자에게 찬사를 보냅니다! 이 코드는 무료로 사용할 수 있지만, 코드를 재게시하는 경우 하우스 룰이 적용된다는 점을 기억하세요.
면책사항
해당 정보와 게시물은 금융, 투자, 트레이딩 또는 기타 유형의 조언이나 권장 사항으로 간주되지 않으며, 트레이딩뷰에서 제공하거나 보증하는 것이 아닙니다. 자세한 내용은 이용 약관을 참조하세요.