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🏛️ Research Notes Fibonacci Channels as Frames of Reference Just like Schrödinger’s wave equation describes all possible states of a quantum system, the market at any moment holds a spectrum of potential price paths. Hence, commonality is that, the wave function is a mathematical description of probabilities, not certainties, just like market state is a blend of possible moves, not a single predetermined path. In quantum mechanics, choosing a measurement basis determines which aspects of the wave function become clear. In charting, each Fibonacci channel is a “measurement frame,” tuned to a certain proportion or scaling law that the market tends to respect. So if we say have multiple channels, then by overlaying several, you capture different interference layers, revealing systemic alignments that a single frame would miss. (Structure Memory and Duality )

🏛️ Research Notes Original Structure Logical Continuation Cycle can be broken further by adding x.146 and x.886 essentially allowing us define probability density with better precision. Also, made it B&W because I care about the topology of compression and release (the outcome) more than providing subjective interpretation colors to remain objective. Specifically, if the geometry of "release" phase would match the price texture. Validation of the structure (initial measurements) by recognizing how it resonated throughout history. (in a way prelude to what we see) Stats Table shows geometric averaging of all swings to figure out the all time mean to be able to anticipate wave’s first limit set by typical range.

🏛️ Research Notes There are known phenomena in physics that continues to remind me about markets, which partially influenced my perception of price action and reflected in topology. In space, speed itself doesn’t cause discomforts — only acceleration does. In markets, trend direction isn’t what stresses traders, it’s the rate of change (volatility spikes, momentum surges). A slow, constant uptrend can feel comfortable, but sudden thrusts (news shocks, liquidity squeezes) presses them against the seat. No matter how hard you accelerate, you can’t exceed light speed. Markets also have practical velocity limits such as liquidity constraints, margin requirements, volatility halts which contribute to proportions in movements). Beyond certain speeds, moves become self-limiting because liquidity providers back away or exchanges impose breakers. Aberration of Light → Focus Shift in Market Attention As you accelerate, stars seem to shift forward in view. In markets, as momentum builds, your perception of what matters narrows. What I mean is liquidity, news, and setups ahead dominate, while the “sky behind” (past fundamentals or long-term signals) fades. The market narrative contracts into a single front-facing beam: what’s next, not what’s past. Doppler Effect → Price Action Distorts Information Moving away from Earth, you see time slow down behind you; moving toward something, time speeds up. In markets, when price runs away from fundamentals, old data feels stale and irrelevant (red-shifted). In fast rallies or panics, information feels accelerated and urgent (blue-shifted) — traders act as if the clock is ticking faster. (Has nothing to do with the color gradient I use on chart.) Terrell–Penrose Rotation → Illusion At high speed, objects don’t look contracted, they look rotated due to delayed light arrival. In markets, patterns rarely appear exactly as the textbook shows because we’re always looking at “delayed” sentiment. What looks like a simple breakout might just be a rotated perspective of deeper structure. Time Dilation → Compression of Trading Horizon Travelers age slower, as from their view, a distant journey seems shorter. In markets, when immersed in high-frequency movement, traders experience time compression (dozens of opportunities in minutes). From outside (a swing trader’s view), that same period looks like a small blip in a larger trend. Length Contraction → Path Shortening During High Momentum Near light speed, distances shrink in the direction of travel. In markets, when momentum is extreme, the “distance” to a target level (Fibonacci, prior high) feels shorter, so price reaches it much faster than normal expectation.

🏛️ Research Notes Frames of Reference Interconnection of 3rd degree points fractal hierarchy Multi-scale Interconnection Merging into probabilistic layout Market movement reflects proportional relationships inherent to its own scale. Fibonacci ratios, appear not by accident but as structural constants within this probabilistic environment. Price and time intervals often align with these ratios because markets are recursive systems where past structures inform the formation of new ones through scaled transformation. In this framework, the golden ratio serves as more than a tool for retracements or extensions, as encodes the geometry of market behavior itself via frames of reference. Whether in the spacing of pivots, the rhythm of cycles, or the layering of trends, its presence points to a self-organizing principle at work.

🏛️ Research Notes Recent rejection from LH could be explained by spike out of scale, which in its turn was caused by buildup of counter force while correcting. Those two are part of progression which was wired by longer selloff cycle. If we scale back further, we would confirm overall structure's capacity set by growth patterns. Those boundaries and space between them can be interpreted as supply zones, leaving us with this particular interconnection: Though the object of observation would be the recent developments at minimal TF for publication (15m), so temporal patterns and cycle-derived levels can be thoroughly studies.

🏛️ Research Notes Price is at fib boundary derived from its structure that covers growth patterns. Several attempts were taken place to push higher and ended up as lower highs. Contraction of fractal cycles and amplitude. Topologically, the compression to a point of proportional release in fibonacci proportions and scaling law 1:1 to original triangle would look like a cube. And let's limit for now with that horizon. Probabilistic Filter - Another layer of fibonacci channels to inherit roughness of observed temporal pattern which then rhymes with extended series. The longer the price fluctuates in these geometric boundaries, the more accurate the colors tend to reflect the outcome. For measuring percentages of swings I used this modification of Zig Zag.

🏛️ Research Notes Reaching branching effect through cross-cycle interconnection. Alongside I'll test some elements mentioned below. Local Progressions Rhyme and levels derived from apparent cycle compression. Added channels with darkening gradient that cover bullrun from mid 2019, driven by angle of tops. In the local scope, as price deepens into denser zone the probability of disproportional reaction gets higher. t would probably complete its intermediate and even longer-term cycles before escaping the boundary.

🏛️ Research Notes Keeping fib channel of the rising trend angles as they've number of times covered well that aspect of cycle texture. The other frame of reference would be with fib channel that covers drop from 2021 ATH to late 2022 bottom. Last bit would be integrating fib channel discovered while ago that connects covid & late 2022 bottoms Together they create a framework that addresses the complexity and makes even the most chaotic price movements seem to be a part of structural narrative.

🏛️ Research Notes The fact that the angle of linear connection between 3rd degree points (fractal hierarchy) acted multiple amout of times as support and eventually resistance from which tariff drop happened establishing bottom and expanding from there. That means if we were to justify the texture of ongoing wave from that bottom, we would geometrically quantify the area of that triangle to project considering historic data to remain objective approach (and NOT what levels we subjectively want to see whether we are bullish or bearish). There is mean reversion rule also going on which will be structurally addressed. No matter where your actual target is at, there are always structural boundaries that price must break through first in order to get there. And because markets tend to move in proportion to their own scale — often aligning with exponents of the golden ratio, we treat phi as a constant within this probabilistic space.

🏛️ Research Notes Apart from known compression patterns for Tesla, there is another squeeze happening on smaller scale: That area will be processed to derive the chart-based levels and see how market reacts to them. Triangle Breakout Expansion