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In fractal analysis the randomness of price levels can be justified with the chart's historic HL coordinates. We'll use the old structure below as a base for further cycle breakdown. There are another two fib lines derived from angled trends, the fibs of which rhyme with chaos behind price action and cycle formation: Steep fibs determine timing of high...

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Trend's Three Frames of Reference: The Fibonacci channels in the chart are constructed based on the COVID low (March 2020) and the 2023 low, with a projection that aligns with the late 2021 top as a key reference point. This approach sets the direction of the Fibonacci channels in an upward-sloping trajectory, capturing the broader bullish trend while...

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After reaching all time high of $488.50 on 18 Dec '24, Tesla has been systematically dropping making lower lows. So far it made a local low at $325.10 which is -33% from ATH. One might intuitively assume that Tesla’s CEO, with significant administrative resources at his disposal, would drive the stock to outperform on a longer period. This narrative held true,...

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Fibonacci interconnection between Higher Low, Higher High and series of Lower Highs and Lower Lows. The side of breakout from this narrowing formation will determine the direction of trend. The fibonacci lines derived from the structure covers the limits of breakout wave. If the price resumes its downtrend, I can only assume the market is still digesting the...

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Couple of days ago the world witnessed how current U.S. president on practice could remotely deactivate rocket systems given by previous U.S. administration for Ukraine's defense. One may argue it's a reckless decision, another might say it's a "multi-dimensional chess".. Instead of diving into politics, I would like to focus why this single event alone can...

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This chart presents a Fibonacci channel projection based on key swing points, including a Higher High, Higher Low, an All-Time High (ATH), and a current Lower Low. The levels of Fibonacci channel that market should abide by for the nearest future, are defined by: HL & LL - sets direction (fib 0 line); applied to ATH (fib 1 line). The derived fib ratios help to...

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The S&P 500 has been experiencing a clear downtrend, characterized by a progression of lower highs and lower lows meaning that each attempt at a rebound is met with increased selling, preventing the market from establishing a meaningful recovery. The current formation suggests that bearish sentiment is still dominant, with investors possibly looking for further...

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By referring historic price dynamics, I'll attempt to explain future possible swings and their limits structurally. But first it would be nice to drop a few words on recent history. As you remember price has broken below the triangle which caused the selloff establishing a bottom. The new Lower Low's can be referred through line that starts from triangle's low...

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I’m currently working on a trading script designed to identify optimal stop-loss and take-profit levels based on market structure and volatility. Day TF Short entry: $101,460.15 with a stop-loss at $105,330.08 TP levels tested down to $82,110 Despite it played out ok I still need additional validation that will come with time. Point is to keep enhancing...

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Seeing diamond pattern on tops gives us general clue that market is about to fall. After all, this is what it draws (what masses go through) as it loses momentum and eventually goes for a correction. However, even if we're very sure, rushing to trade based on systematic patterns does not actually guarantee the desired outcome. For instance, the bullrun which...

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After encountering old chart, I though to redefine some coordinates. It played out well, however I would like to experiment using actual chart-based extremes to predefine levels. Measuring historic market's most significant HH & LL with fibonacci channels to project psychological levels into the future. Logarithmic scale is a must for this type of...

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Basis: RESEARCH Analyzing directional support and resistance through Fibonacci channels provides a systematic approach to understanding historical price movements and their impact on current market trends. Fibonacci ratios have long been essential in technical analysis, helping traders identify pivotal price levels where momentum shifts frequently occur....

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The convergence of the linear extension of volatility bands toward a specific point is a phenomenon rooted in market equilibrium dynamics and statistical projection. When volatility contracts, it often signals a transition from a high-activity phase to a period of consolidation, where price fluctuations narrow, leading to a temporary state of balance between...

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FREMA bands offer a dynamic edge over traditional ATR-based volatility bands by adapting to real buying and selling pressure (bullish and bearish part of candles) rather than just price movement. Unlike ATR bands, which expand symmetrically based on historical volatility, FREMA bands widen asymmetrically — expanding more on the upside during strong buying...

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Monthly reminder that prices move in fibonacci proportions to its own size. I'll provide the most extreme version for illustration purposes. Let's focus on first ATH after which there was the heaviest decline of 93% and use those coordinates in order to explain the rest recurring cycles. Now, if we capture the first notable cycle (around 2010-2011) with...

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Coca-Cola (KO) has demonstrated a strong long-term uptrend, as evidenced by its price action on the exponential scale chart spanning from the 1960s to early 2025. The chart, utilizing the natural constant e (Euler) with a progression rate of 0.1, effectively highlights the stock’s exponential growth over decades. Early price movements were relatively stagnant, but...

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JPMorgan Chase exhibits a logarithmic price progression that aligns with exponential scaling based on Phi with a 0.25 progression rate, providing a structured framework for understanding its long-term growth dynamics. Historically, price movements have respected these exponential levels, indicating that market participants react to percentage-based growth. From...

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Since my line of work focuses on understanding and connecting scalable complexities, I require an interactive representation of the long-term market structure of an idea I published a while ago. These ideas will serve as a foundation for developing a probabilistic framework that accurately captures the underlying patterns and relationships governing price...