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Volatility High/Low Projection (PHOD / PLOD)AP Capital – Volatility + High/Low Projection This indicator is designed to identify high-probability intraday turning points by combining daily range statistics, session behaviour, and volatility context into a single clean framework. It is built for index, forex, and metals traders who want structure, not noise. 🔹 Core Features 1️⃣ Potential High of Day (PHOD) & Potential Low of Day (PLOD) The indicator highlights likely intraday extremes based on: Session timing (Asia, London, New York) Current day volatility vs historical averages Prior day expansion or compression behaviour Each level is displayed with: A clear label (PHOD / PLOD) A forward-extending box acting as a live Point of Interest (POI) Automatic invalidation when price breaks the zone 2️⃣ Volatility & Range Context (Info Panel) A compact information panel in the top-right corner provides real-time context without cluttering the chart: 20-Day Average Range % of the average range already used today Range status (NORMAL / EXHAUSTED) Average session ranges for: Asia London New York This allows traders to immediately assess whether price is: Early in the day with room to trend Statistically stretched and prone to reversal Over-extended where breakout chasing is risky 3️⃣ Session-Aware Logic The model respects how markets behave across the trading day: Asia favours accumulation and potential lows London provides expansion New York often delivers distribution or exhaustion This prevents random high/low marking and focuses only on structurally meaningful levels. 🧠 How to Use Use PHOD / PLOD boxes as reaction zones, not blind entries Combine with your own confirmation (structure break, momentum, volume, EMA reclaim, etc.) Avoid chasing trades when the Range Status = EXHAUSTED Particularly effective on 15m – 1h timeframes ⚠️ Important Notes This indicator does not repaint It is contextual, not a buy/sell signal generator Best used as part of a complete trading plan 📈 Suitable Markets XAUUSD (Gold) Indices (NASDAQ, S&P 500, DAX) Major FX pairs 📌 Disclaimer This indicator is for educational and analytical purposes only. It does not constitute financial advice. Trading involves risk.
Pine Script® 인디케이터
APCapitalTrading의
ORB + Killzones - Universal AutoORB + Killzones • Universal Auto A clean overlay indicator that automatically plots 15-minute Opening Range Breakout (ORB) levels for major global sessions with full DST handling and optional Killzone shading. Key Features Universal auto-detection: adapts session times and timezones perfectly for crypto (24/7) and traditional markets (cash hours only) 15-minute ORB high/low lines for Tokyo, Hong Kong, China, London, and New York sessions Precise DST-aware London (Europe/London) and New York (America/New_York) sessions Optional translucent Killzone background shading: London Open (0800–1100), NY Open (0930–1100), London Close (1530–1630) — with custom colors and transparency Individual toggle switches for each session ORB and Killzone display Clean neon color scheme matching popular retrowave setups (Tokyo teal, HK magenta, China red, London blue, NY gold) Efficient drawing with persistent lines that extend until session end No repainting, low resource usage (max 250 lines, 60 labels) Ideal for ICT/SMC traders who want accurate multi-session ORBs and high-probability Killzone windows on any instrument or timeframe. Works on forex, indices, stocks, and crypto. Recommend to uncheck timeframes over 1 hour in the Visibility tab of the Settings.
Pine Script® 인디케이터
zenba_tv의
Session Levels + PDH/PDL (Adjustable, v6 fixed) 📊 Session Levels + PDH/PDL (Adjustable) This indicator plots key intraday reference levels based on major market sessions and the previous day’s range. It is designed for traders who rely on session highs/lows, liquidity levels, and market structure rather than indicators like EMAs or oscillators. 🔹 What it shows Asia Session High & Low UK (London) Session High & Low New York Session High & Low Previous Day High (PDH) & Previous Day Low (PDL) Each level is drawn as a horizontal line and can optionally include a label for quick identification. ⚙️ Fully adjustable Session times for Asia, UK, and New York are fully editable Custom colors for each session and PDH/PDL Show / hide toggles for each session individually Adjustable line width and right-side extension Optional session background shading with adjustable transparency Optional labels for all levels 🕒 Timezone handling Uses a user-defined timezone (default: Europe/Dublin) Works on any intraday timeframe Session logic is replay-safe and does not repaint past levels 🎯 How traders typically use it Identify liquidity pools at session highs/lows Use PDH/PDL as targets, reactions, or bias levels Combine with price action, market structure, ORBs, or ICT-style models Mark London and NY expansions after Asia range is set ✅ Designed for Futures traders (ES, NQ, YM, Gold) Forex and indices Intraday & session-based strategies Traders who want clean charts with meaningful levels only
Pine Script® 인디케이터
GC_TTC의
FOMC Sweep Reaction AP Capital – FOMC Sweep Reaction v1.0 AP Capital – FOMC Sweep Reaction v1.0 is a news-reaction and liquidity-based trading tool designed specifically to track and trade FOMC volatility on Gold (XAUUSD) and other highly reactive instruments. The indicator focuses on liquidity sweeps, structure breaks, and EMA reclaims that commonly occur around Federal Reserve interest-rate decisions and Powell speeches, helping traders identify high-probability reversal or continuation moves after the initial spike. 🔍 What This Indicator Detects This tool highlights the most repeatable FOMC behaviours observed across multiple months of broker data: • Sweeps of previous day’s high or low • Stop-hunt wicks into liquidity pools • EMA13 reclaim after the news spike • Break and close beyond short-term structure • Momentum shift following volatility exhaustion The goal is not to predict the news, but to react to confirmed price behaviour after liquidity has been taken. 📌 Core Features • FOMC Sweep Detection Identifies aggressive wicks into prior highs/lows during news volatility • EMA Reclaim Confirmation Uses EMA13 to validate momentum shift after the sweep • Market Structure Awareness Filters reactions that fail to break structure to avoid false reversals • Session-Aligned Logic Designed around London → NY → FOMC release timing • Clean Visuals Minimal chart clutter for fast decision-making during volatile conditions 🧠 How to Use Wait for FOMC release / Powell speech Allow price to sweep previous liquidity (PDH / PDL / local extremes) Observe reclaim of EMA13 Enter only after structure confirmation Manage trade using EMA trailing or structure-based exits ⚠️ This is a reaction system, not a prediction tool. 📊 Best Use Cases • XAUUSD (Gold) • NASDAQ / US indices • High-impact macro news events • 5-min to 15-min timeframes ⚠️ Important Notes • News volatility is extreme — risk management is essential • Not designed for low-volatility or ranging markets • Best combined with a clear trading plan and strict risk rules 📎 Disclaimer This indicator is for educational purposes only and does not constitute financial advice. Trading during high-impact news events involves significant risk.
Pine Script® 인디케이터
APCapitalTrading의
Session Killzone & Liquidity Sweep Engine [2025]A session-based market analysis tool designed to visualize key intraday trading sessions and monitor price interaction with session highs and lows. The script draws configurable session ranges (Asia, London, New York AM, Lunch, and PM) using session-based boxes. For each session, the high and low levels are calculated in real time and projected forward as reference levels. Each session high and low reacts dynamically to price behavior: • If price wicks beyond a session level without a candle close beyond it, the level is marked as a liquidity sweep and stops extending. • If price closes beyond a session level, the level is considered invalidated and removed. Optional midpoint levels can be displayed for each session. Users can choose whether levels extend only until mitigation or continue beyond it, as well as whether only the most recent session or all past sessions are tracked. Additional features include: • Timezone support with proper session alignment • Session drawing limits to manage chart clutter • Timeframe filtering to restrict drawings to lower timeframes • Optional alerts when session highs or lows are broken by a candle close • Extensive customization for colors, line styles, labels, and visibility This tool is intended for traders who analyze intraday price behavior around session highs and lows and want a structured way to observe wick-based interactions and level invalidations.
Pine Script® 인디케이터
Captain_Chopin의
HTF Liquidity Sweep EngineHTF Liquidity Sweep Detector (Dual HTF) Overview This indicator is designed to identify validated liquidity sweeps on Higher Timeframes (HTF) and project them accurately onto lower-timeframe charts. Unlike basic sweep indicators that mark every high or low break, this tool applies context-aware validation and invalidation logic to distinguish meaningful liquidity events from random volatility. The script supports two independent higher timeframes (HTF 1 & HTF 2), allowing traders to analyze liquidity hierarchy and confluence across multiple market structures within a single chart. ⸻ Core Concept A liquidity sweep is not considered valid simply because price exceeds a previous high or low. This script evaluates each sweep within the structural context of the HTF candle that formed it, accounting for: • Bullish vs bearish candle structure • Open, close, high, and low relationships • Temporal sequencing between HTF candles Sweeps are treated as stateful events with a full lifecycle rather than static lines. ⸻ Sweep Lifecycle & Invalidation Logic Each detected sweep progresses through multiple states: • Formation – A sweep is detected when price exceeds a prior HTF high or low under valid structural conditions. • Validation – The sweep remains provisional until subsequent HTF candles confirm it. • Invalidation – If later HTF price action violates the structural conditions, the sweep is automatically marked as invalidated. • Removal – Sweeps that fail during their formation phase are removed entirely to avoid misleading signals. This approach ensures that only structurally meaningful sweeps remain visible on the chart. ⸻ Dual Higher-Timeframe Analysis HTF 1 and HTF 2 operate as separate liquidity layers, each with independent: • Detection logic • Validation and invalidation rules • Visualization styles This allows traders to identify: • HTF liquidity alignment • Higher-timeframe dominance • Confluence or conflict between liquidity zones ⸻ Projection to Lower Timeframes Detected HTF sweeps are dynamically projected onto the active chart timeframe. Sweep levels update in real time and maintain accurate positioning relative to HTF candle boundaries, ensuring visual consistency across timeframes. ⸻ Valid Pullback Swing Line (Optional) An optional internal swing structure module is included to identify valid pullback swings. This feature tracks structural pivots, updates dynamically, and automatically invalidates broken swing structures, helping traders contextualize liquidity sweeps within current market structure. ⸻ Customization Each HTF layer supports full independent customization: • Enable / disable HTF layers • Timeframe selection and lookback depth • Sweep and invalidation line styles, colors, and widths • Label and marker display options • Label positioning and sizing • Alert notifications for sweep formation ⸻ Alerts Optional alerts trigger when a liquidity sweep is formed, allowing traders to monitor potential liquidity events without constant chart supervision. ⸻ This script is published as closed-source because its sweep validation, invalidation, and multi-timeframe interaction logic represents the core intellectual property of the tool. The description above is intended to provide conceptual clarity without disclosing proprietary implementation details. ⸻ Intended Use This indicator is designed as a market structure and liquidity analysis tool, not a standalone trading system. It is best used in combination with price action, higher-timeframe bias, and risk management principles.
Pine Script® 인디케이터
Captain_Chopin의
1
Navigator Volume Profil FixedLong Term Investing Day Trading Navigator Volume Profile Fixed (Fixed + Current Session) **Navigator Volume Profile Fixed** plots a horizontal volume profile on your chart using a **fixed timeframe anchor** (ex: Daily) and optionally overlays a **live “current” profile** for the active session/period. It’s designed to help you quickly see where volume is building (acceptance) vs. thinning out (rejection), and to identify the key reference levels traders watch most: **PoC, VAH, and VAL**. ### What it plots **Fixed Volume Profile (anchored to a timeframe)** Builds a completed profile each time the selected anchor timeframe rolls over (ex: each new day on a Daily anchor). **Current Volume Profile (live)** Continuously updates the developing profile for the current anchor period (optional toggle). **Point of Control (PoC)** Highlights the single price level with the highest traded volume. **Value Area (VAH / VAL)** Plots the Value Area boundaries using a configurable percentage (default **68%**), and visually differentiates the value area from the rest of the profile. Key settings * **Enable Fixed VP**: turn the fixed/anchored profile on/off * **Timeframe Anchor**: choose the profile reset period (ex: 1D) * **Show Current Fixed VP**: show/hide the developing (current) profile * **Number of Rows**: controls profile resolution (price “bins”) * **Profile Width (%)** and **Bar Thickness**: visual scaling controls * **PoC + Value Area toggles**: show/hide PoC and VA boundaries * **Extend PoC Line**: optionally extend the PoC into the future How to use it (practical) * Treat **PoC** as the most accepted price for the anchored period. * Use **VAH/VAL** as reference boundaries for balance vs. imbalance. * Compare **Fixed** vs **Current** profiles to see whether volume is migrating higher/lower during the session and where price is building acceptance. **Note:** This script draws using TradingView line objects and is optimized to stay within platform limits while maintaining a clean profile display.
Pine Script® 인디케이터
starone777의
Double/Triple Tops & Bottoms & Rectangle BoxesThis indicator is an algorithmic pattern recognition tool designed to automatically identify, validate, and track significant reversal structures—specifically Double/Triple Tops and Bottoms. Unlike subjective drawing tools, this script uses a strict set of quantitative rules based on swing pivots and volatility (ATR) to define market structure. The Logical Methodology The script operates on a three-stage "scientific" detection process: Pivot Chaining (Level Detection): The algorithm scans for significant swing highs and lows using a user-defined lookback period. It stores these pivot levels and monitors subsequent price action. If price returns to a previous pivot level within a specific volatility threshold (normalized by ATR), it registers a "touch." Pattern Construction (Neckline Identification): Once a level has been touched the required number of times (e.g., 2 for Double patterns, 3 for Triple patterns), the script calculates the "Neckline." For Tops: It identifies the lowest trough between the peaks. For Bottoms: It identifies the highest peak between the valleys. This creates a valid trading range, visualized as a blue box connecting the pivot level to the neckline. Signal Validation (Breakout vs. Failure): The pattern remains in a "pending" state until a breakout occurs. Confirmation: A signal is generated only when a candle closes beyond the neckline (below for Tops, above for Bottoms). Invalidation: If price breaks the pivot level itself (e.g., makes a higher high on a Double Top) before breaking the neckline, the pattern is immediately marked invalid to prevent false signals. Key Features ATR-Based Sensitivity: Uses Average True Range to dynamically adjust how "precise" a re-test must be, adapting to changing market volatility. Dual-Scanning: Can independently scan for Triple Tops (Bearish) and Double Bottoms (Bullish) simultaneously with separate settings. Time & Width Constraints: Filters out "noise" by enforcing a minimum pattern width (in bars), ensuring only structurally significant patterns are displayed. Settings Guide Min Top/Bottom Touches: Set to 2 for Double patterns or 3 for Triple patterns. Pivot Lookback: The number of bars used to define a swing point (higher = larger, more significant patterns). Touch Sensitivity: Adjusts how strictly the price must match the previous level. Min Pattern Width: Prevents the detection of micro-patterns that are too narrow to be reliable.
Pine Script® 인디케이터
trend-wolf의
PCR Put-Call Ratio//@version=5 indicator("PCR Put-Call Ratio", overlay=false, precision=4) // Input parameters pcrLength = input(20, "PCR Length", group="Settings") maLength = input(5, "MA Length", group="Settings") showOI = input(true, "Use Open Interest", group="Settings") // Get PCR data from CBOE (requires daily data availability) pcrData = request.security("CBOE:PC", "D", close) // Calculate moving average of PCR pcrMA = ta.sma(pcrData, maLength) // Levels for interpretation overbought = 1.2 oversold = 0.6 neutral = 0.9 // Plot PCR value plot(pcrData, title="PCR Value", color=color.blue, linewidth=2) plot(pcrMA, title="PCR MA", color=color.orange, linewidth=1) // Add reference lines hline(overbought, "Overbought (Bearish)", color.red, linestyle=hline.style_dashed) hline(neutral, "Neutral", color.gray, linestyle=hline.style_dotted) hline(oversold, "Oversold (Bullish)", color.green, linestyle=hline.style_dashed) // Background coloring based on sentiment bgColor = pcrData > overbought ? color.new(color.red, 80) : pcrData < oversold ? color.new(color.green, 80) : color.new(color.gray, 90) bgcolor(bgColor)
Pine Script® 인디케이터
princeraj36459의
ICT Premium/Discount Zones [Exponential-X]Premium/Discount Zones - Visual Market Structure Tool Overview This indicator helps traders visualize premium and discount price zones based on recent market structure. It automatically identifies swing highs and lows within a specified lookback period and divides the price range into three key areas: Premium Zone, Equilibrium, and Discount Zone. What This Indicator Does The script continuously monitors price action and calculates: Highest High and Lowest Low within the lookback period Equilibrium Level - the midpoint between the swing high and low Premium Zone - the area from equilibrium to the swing high (typically viewed as relatively expensive price levels) Discount Zone - the area from the swing low to equilibrium (typically viewed as relatively cheap price levels) Core Calculation Method The indicator uses pivot point logic to identify significant swing highs and lows based on the pivot strength parameter. It then calculates the highest high and lowest low over the specified lookback period. The equilibrium is computed as the arithmetic mean of these two extremes, creating a fair value reference point. The zones are dynamically updated as new price data becomes available, ensuring the visualization remains relevant to current market conditions. Key Features Dynamic Zone Detection Automatically adjusts zones based on recent price action Uses customizable lookback period for flexibility across different timeframes Employs pivot strength parameter to filter out minor price fluctuations Visual Clarity Color-coded zones for easy identification (red for premium, green for discount) Optional equilibrium line display Adjustable zone label placement Customizable color schemes to match your charting preferences Alert Capabilities Alerts when price enters the premium zone Alerts when price enters the discount zone Alerts when price returns to equilibrium Helps traders monitor key zone interactions without constant chart watching Customization Options Adjustable lookback period (5-500 bars) Configurable pivot strength for swing detection (1-20 bars) Control over box extension into the future Toggle labels and equilibrium line on/off Full color customization for all visual elements How to Use This Indicator Setup Add the indicator to your chart Adjust the lookback period to match your trading timeframe (shorter for intraday, longer for swing trading) Set pivot strength to filter out noise (higher values for major swings, lower for more frequent updates) Customize colors and labels to your preference Interpretation Premium Zone: Price trading here may indicate potential resistance or selling opportunities when aligned with other technical factors Discount Zone: Price trading here may indicate potential support or buying opportunities when aligned with other technical factors Equilibrium: Acts as a fair value reference point where price often consolidates or reacts Trading Applications This tool works well when combined with other forms of analysis such as: Trend identification indicators Volume analysis Support and resistance levels Price action patterns Market structure analysis Important Considerations This indicator identifies zones based purely on historical price data Premium and discount zones are relative to the recent lookback period The effectiveness varies across different market conditions and timeframes Should be used as part of a comprehensive trading strategy, not in isolation Past price structure does not guarantee future price behavior Technical Details Calculation Method Uses Pine Script's ta.pivothigh() and ta.pivotlow() functions for swing detection Employs ta.highest() and ta.lowest() for range calculation Updates dynamically with each new bar Draws zones using box objects for clear visual representation Performance Optimization Efficiently manages box and line objects to minimize resource usage Uses conditional plotting to reduce unnecessary calculations Limited to essential visual elements for chart clarity Timeframe Compatibility This indicator works on all timeframes but the recommended settings vary: 1-5 minute charts: Lookback period 10-20, Pivot strength 3-5 15-60 minute charts: Lookback period 20-50, Pivot strength 5-10 Daily charts: Lookback period 50-100, Pivot strength 10-15 Weekly charts: Lookback period 20-50, Pivot strength 5-10 Adjust these values based on the volatility of your specific instrument. Limitations and Considerations What This Indicator Does NOT Do Does not provide buy or sell signals on its own Does not predict future price movements Does not account for fundamental factors or market events Does not guarantee profitability or accuracy Market Condition Awareness In strong trending markets, price may remain in premium or discount zones for extended periods During ranging conditions, price typically oscillates between zones more predictably High volatility can cause frequent zone recalculations Low volatility may result in narrow zones with limited practical use Risk Considerations Premium and discount are relative concepts, not absolute values What appears as a discount zone may continue lower in a downtrend What appears as a premium zone may continue higher in an uptrend Always use proper risk management and position sizing Consider multiple timeframe analysis for context Version Information This indicator is written in Pine Script v6, ensuring compatibility with the latest TradingView features and optimal performance. Final Notes This tool is designed to enhance your market analysis by providing a clear visual representation of premium and discount price zones. It should be used as one component of a well-rounded trading approach that includes proper risk management, multiple forms of analysis, and realistic expectations about market behavior. The concept of premium and discount zones is rooted in auction market theory and the idea that price oscillates around fair value. However, traders should understand that these zones are interpretive tools based on historical data and do not constitute trading advice or predictions about future price action. Remember to backtest any strategy using this indicator on historical data before applying it to live trading, and always trade responsibly within your risk tolerance. Disclaimer: The information provided by this indicator is for educational and informational purposes only. It does not constitute financial advice, investment advice, trading advice, or any other sort of advice. Always conduct your own research and consult with qualified financial professionals before making trading decisions.
Pine Script® 인디케이터
Exponential-X의
Optimized BTC Mean Reversion (RSI 20/65)📈 Optimized BTC Mean Reversion (RSI 20/65) Optimized BTC Mean Reversion (RSI 20/65) is a rule-based trading strategy designed to capture mean-reversion moves in strong market structures, primarily optimized for Bitcoin, but adaptable to other liquid cryptocurrencies. The strategy combines RSI extremes, Stochastic momentum, and EMA trend filtering to identify high-probability reversal zones while maintaining strict risk management. 🔍 Strategy Logic This system focuses on entering trades when price temporarily deviates from equilibrium, while still respecting the broader trend. ✅ Long Conditions RSI below 20 (oversold) Stochastic below 25 Price trading above the 200 EMA (or within a controlled deviation) Designed to buy sharp pullbacks in bullish conditions ❌ Short Conditions RSI above 65 (overbought) Stochastic above 75 Price trading below the 200 EMA Designed to sell relief rallies in bearish conditions 🛡 Risk Management Fixed Stop Loss: 4% Fixed Take Profit: 6% Risk/Reward: 1 : 1.5 No pyramiding (single position at a time) Full equity position sizing (adjustable) All exits are predefined at entry, ensuring consistency and emotional discipline. 📊 Indicators Used 200 EMA – Trend direction filter RSI (14) – Mean-reversion trigger (20 / 65 levels) Stochastic Oscillator – Momentum confirmation 👁 Visual Features EMA plotted directly on chart Real-time Stop Loss, Take Profit, and Entry Price lines Clear long/short entry markers Works on all timeframes (optimized for intraday and swing trading) 🔔 Alerts Long entry alerts Short entry alerts (Perfect for automation or discretionary execution) ⚠️ Disclaimer This strategy is intended for educational and research purposes only. Past performance does not guarantee future results. Always test on a demo account and adjust risk parameters to your own trading plan.
Pine Script™ 전략
malli_007의
zhanzhang66Key Indicators for Crypto & US Stock Analysis These indicators are vital for crypto and US stock trading, aiding in trend identification, overbought/oversold judgment, valuation assessment and reversal signal capture, supporting rational trading decisions. Crypto Indicators • RSI: Measures price strength to spot overbought/oversold conditions. • MACD: Tracks trend direction and momentum, capturing reversal signals. • Bollinger Bands: Gauges price volatility and potential breakouts. • Volume: Verifies trend validity and market liquidity. • EMA/SMA: Identifies short/long-term trend directions. • RSI Divergence: Warns of potential trend reversals. • Fibonacci Retracement: Predicts key support/resistance levels. • Stochastic Oscillator: Pinpoints extreme overbought/oversold states. US Stock Indicators • EPS: Reflects company profitability, a core fundamental metric. • P/E Ratio: Evaluates stock valuation rationality. • MACD/RSI: Tracks trend, momentum and overbought/oversold conditions. • Volume: Confirms price movement strength. • SMA/EMA: Clarifies short/long-term trends. • ADX: Measures trend strength to avoid sideways market trades. • Bollinger Bands: Judges volatility and breakout directions. • Dividend Yield: Key for value investors, showing stable returns. • ROE: Assesses company profit efficiency for long-term investment.
Pine Script® 인디케이터
wyii2382의
Density Zones (GM Crossing Clusters) + QHO Spin FlipsINDICATOR NAME Density Zones (GM Crossing Clusters) + QHO Spin Flips OVERVIEW This indicator combines two complementary ideas into a single overlay: *this combines my earlier Geometric Mean Indicator with the Quantum Harmonic Oscillator (Overlay) with additional enhancements* 1) Density Zones (GM Crossing Clusters) A “Density Zone” is detected when price repeatedly crosses a Geometric Mean equilibrium line (GM) within a rolling lookback window. Conceptually, this identifies regions where the market is repeatedly “snapping” across an equilibrium boundary—high churn, high decision pressure, and repeated re-selection of direction. 2) QHO Spin Flips (Regression-Residual σ Breaches) A “Spin Flip” is detected when price deviates beyond a configurable σ-threshold (κ) from a regression-based equilibrium, using normalized residuals. Conceptually, this marks excursions into extreme states (decoherence / expansion), which often precede a reversion toward equilibrium and/or a regime re-scaling. These two systems are related but not identical: - Density Zones identify where equilibrium crossings cluster (a “singularity”/anchor behavior around GM). - Spin Flips identify when price exceeds statistically extreme displacement from the regression equilibrium (LSR), indicating expansion beyond typical variance. CORE CONCEPTS AND FORMULAS SECTION A — GEOMETRIC MEAN EQUILIBRIUM (GM) We define two moving averages: (1) MA1_t = SMA(close_t, L1) (2) MA2_t = SMA(close_t, L2) We define the equilibrium anchor as the geometric mean of MA1 and MA2: (3) GM_t = sqrt( MA1_t * MA2_t ) This GM line acts as an equilibrium boundary. Repeated crossings are interpreted as high “equilibrium churn.” SECTION B — CROSS EVENTS (UP/DOWN) A “cross event” is registered when the sign of (close - GM) changes: Define a sign function s_t: (4) s_t = +1 if close_t > GM_t -1 if close_t < GM_t s_{t-1} if close_t == GM_t (tie-breaker to avoid false flips) Then define the crossing event indicator: (5) crossEvent_t = 1 if s_t != s_{t-1} 0 otherwise Additionally, the indicator plots explicit cross markers: - Cross Above GM: crossover(close, GM) - Cross Below GM: crossunder(close, GM) These provide directional visual cues and match the original Geometric Mean Indicator behavior. SECTION C — DENSITY MEASURE (CROSSING CLUSTER COUNT) A Density Zone is based on the number of cross events occurring in the last W bars: (6) D_t = Σ_{i=0..W-1} crossEvent_{t-i} This is a “crossing density” score: how many times price has toggled across GM recently. The script implements this efficiently using a cumulative sum identity: Let x_t = crossEvent_t. (7) cumX_t = Σ_{j=0..t} x_j Then: (8) D_t = cumX_t - cumX_{t-W} (for t >= W) cumX_t (for t < W) SECTION D — DENSITY ZONE TRIGGER We define a Density Zone state: (9) isDZ_t = ( D_t >= θ ) where: - θ (theta) is the user-selected crossing threshold. Zone edges: (10) dzStart_t = isDZ_t AND NOT isDZ_{t-1} (11) dzEnd_t = NOT isDZ_t AND isDZ_{t-1} SECTION E — DENSITY ZONE BOUNDS While inside a Density Zone, we track the running high/low to display zone bounds: (12) dzHi_t = max(dzHi_{t-1}, high_t) if isDZ_t (13) dzLo_t = min(dzLo_{t-1}, low_t) if isDZ_t On dzStart: (14) dzHi_t := high_t (15) dzLo_t := low_t Outside zones, bounds are reset to NA. These bounds visually bracket the “singularity span” (the churn envelope) during each density episode. SECTION F — QHO EQUILIBRIUM (REGRESSION CENTERLINE) Define the regression equilibrium (LSR): (16) m_t = linreg(close_t, L, 0) This is the “centerline” the QHO system uses as equilibrium. SECTION G — RESIDUAL AND σ (FIELD WIDTH) Residual: (17) r_t = close_t - m_t Rolling standard deviation of residuals: (18) σ_t = stdev(r_t, L) This σ_t is the local volatility/width of the residual field around the regression equilibrium. SECTION H — NORMALIZED DISPLACEMENT AND SPIN FLIP Define the standardized displacement: (19) Y_t = (close_t - m_t) / σ_t (If σ_t = 0, the script safely treats Y_t = 0.) Spin Flip trigger uses a user threshold κ: (20) spinFlip_t = ( |Y_t| > κ ) Directional spin flips: (21) spinUp_t = ( Y_t > +κ ) (22) spinDn_t = ( Y_t < -κ ) The default κ=3.0 corresponds to “3σ excursions,” which are statistically extreme under a normal residual assumption (even though real markets are not perfectly normal). SECTION I — QHO BANDS (OPTIONAL VISUALIZATION) The indicator optionally draws the standard σ-bands around the regression equilibrium: (23) 1σ bands: m_t ± 1·σ_t (24) 2σ bands: m_t ± 2·σ_t (25) 3σ bands: m_t ± 3·σ_t These provide immediate context for the Spin Flip events. WHAT YOU SEE ON THE CHART 1) MA1 / MA2 / GM lines (optional) - MA1 (blue), MA2 (red), GM (green). - GM is the equilibrium anchor for Density Zones and cross markers. 2) GM Cross Markers (optional) - “GM↑” label markers appear on bars where close crosses above GM. - “GM↓” label markers appear on bars where close crosses below GM. 3) Density Zone Shading (optional) - Background shading appears while isDZ_t = true. - This is the period where the crossing density D_t is above θ. 4) Density Zone High/Low Bounds (optional) - Two lines (dzHi / dzLo) are drawn only while in-zone. - These bounds bracket the full churn envelope during the density episode. 5) QHO Bands (optional) - 1σ, 2σ, 3σ shaded zones around regression equilibrium. - These visualize the current variance field. 6) Regression Equilibrium (LSR Centerline) - The white centerline is the regression equilibrium m_t. 7) Spin Flip Markers - A circle is plotted when |Y_t| > κ (beyond your chosen σ-threshold). - Marker size is user-controlled (tiny → huge). HOW TO USE IT Step 1 — Pick the equilibrium anchor (GM) - L1 and L2 define MA1 and MA2. - GM = sqrt(MA1 * MA2) becomes your equilibrium boundary. Typical choices: - Faster equilibrium: L1=20, L2=50 (default-like). - Slower equilibrium: L1=50, L2=200 (macro anchor). Interpretation: - GM acts like a “center of mass” between two moving averages. - Crosses show when price flips from one side of equilibrium to the other. Step 2 — Tune Density Zones (W and θ) - W controls the time window measured (how far back you count crossings). - θ controls how many crossings qualify as a “density/singularity episode.” Guideline: - Larger W = slower, broader density detection. - Higher θ = only the most intense churn is labeled as a Density Zone. Interpretation: - A Density Zone is not “bullish” or “bearish” by itself. - It is a condition: repeated equilibrium toggling (high churn / high compression). - These often precede expansions, but direction is not implied by the zone alone. Step 3 — Tune the QHO spin flip sensitivity (L and κ) - L controls regression memory and σ estimation length. - κ controls how extreme the displacement must be to trigger a spin flip. Guideline: - Smaller L = more reactive centerline and σ. - Larger L = smoother, slower “field” definition. - κ=3.0 = strong extreme filter. - κ=2.0 = more frequent flips. Interpretation: - Spin flips mark when price exits the “normal” residual field. - In your model language: a moment of decoherence/expansion that is statistically extreme relative to recent equilibrium. Step 4 — Read the combined behavior (your key thesis) A) Density Zone forms (GM churn clusters): - Market repeatedly crosses equilibrium (GM), compressing into a bounded churn envelope. - dzHi/dzLo show the envelope range. B) Expansion occurs: - Price can release away from the density envelope (up or down). - If it expands far enough relative to regression equilibrium, a Spin Flip triggers (|Y| > κ). C) Re-coherence: - After a spin flip, price often returns toward equilibrium structures: - toward the regression centerline m_t - and/or back toward the density envelope (dzHi/dzLo) depending on regime behavior. - The indicator does not guarantee return, but it highlights the condition where return-to-field is statistically likely in many regimes. IMPORTANT NOTES / DISCLAIMERS - This indicator is an analytical overlay. It does not provide financial advice. - Density Zones are condition states derived from GM crossing frequency; they do not predict direction. - Spin Flips are statistical excursions based on regression residuals and rolling σ; markets have fat tails and non-stationarity, so σ-based thresholds are contextual, not absolute. - All parameters (L1, L2, W, θ, L, κ) should be tuned per asset, timeframe, and volatility regime. PARAMETER SUMMARY Geometric Mean / Density Zones: - L1: MA1 length - L2: MA2 length - GM_t = sqrt(SMA(L1)*SMA(L2)) - W: crossing-count lookback window - θ: crossing density threshold - D_t = Σ crossEvent_{t-i} over W - isDZ_t = (D_t >= θ) - dzHi/dzLo track envelope bounds while isDZ is true QHO / Spin Flips: - L: regression + residual σ length - m_t = linreg(close, L, 0) - r_t = close_t - m_t - σ_t = stdev(r_t, L) - Y_t = r_t / σ_t - spinFlip_t = (|Y_t| > κ) Visual Controls: - toggles for GM lines, cross markers, zone shading, bounds, QHO bands - marker size options for GM crosses and spin flips ALERTS INCLUDED - Density Zone START / END - Spin Flip UP / DOWN - Cross Above GM / Cross Below GM SUMMARY This indicator treats the Geometric Mean as an equilibrium boundary and identifies “Density Zones” when price repeatedly crosses that equilibrium within a rolling window, forming a bounded churn envelope (dzHi/dzLo). It also models a regression-based equilibrium field and triggers “Spin Flips” when price makes statistically extreme σ-excursions from that field. Used together, Density Zones highlight compression/decision regions (equilibrium churn), while Spin Flips highlight extreme expansion states (σ-breaches), allowing the user to visualize how price compresses around equilibrium, releases outward, and often re-stabilizes around equilibrium structures over time.
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