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Bitcoin Cycle Evolution: Angular Analysis of Peak Formations

As the cryptocurrency market matures, we observe a fascinating phenomenon in Bitcoin's price dynamics: the gradual reduction in cycle volatility. This analysis presents a geometric approach to understanding and potentially forecasting this pattern through the lens of angular momentum in logarithmic price movements.

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Methodology
By examining the angular coefficients of price trajectories during Bitcoin's historical 4-year cycles, we can identify a distinct pattern of decreasing slope intensity. These angles, measured from cycle lows to peaks, demonstrate a logarithmic decay pattern that aligns with market maturation theory. Our analysis focuses on end-of-year movements, particularly November-December periods, which have historically served as critical pivot points in Bitcoin's price action.

Current Findings
The angular progression suggests two key trajectory angles for upcoming cycles:
  • Current cycle (2021-2025): ~34° upward momentum
  • Next cycle (2026-2029): ~29° upward momentum

This decreasing angular pattern reflects growing market efficiency and institutional participation, leading to more moderate price appreciations in subsequent cycles.

Price Projections
Based on this geometric framework, we anticipate three key price levels:
  1. 2024 Cycle Peak: $150,000-200,000
    Primary resistance: $150,000
    Maximum extension potential: $170,000 (scam-wick)
    Characterized by reduced volatility compared to previous cycles
  2. 2024 Cycle Bottom: $44,000-50,000
    Represents a higher structural low
    Optimal accumulation zone for long-term positions
    Enhanced market stability at support levels
  3. 2028 Cycle Peak: ~$300,000
    Terminal point: November 2029
    Reflects continued market maturation
    Demonstrates significantly dampened volatility


Market Implications
This geometric approach aligns with efficient market hypothesis principles, suggesting that as Bitcoin's market structure becomes more sophisticated, price movements naturally become more measured. The decreasing angular coefficients quantify this maturation process, providing a mathematical framework for what many market participants intuitively understand.

Risk Assessment
While this analysis provides a structured approach to understanding Bitcoin's cycle evolution, it should not be considered financial advice. The model is based on geometric patterns and historical behavior, which may not fully capture future market dynamics.

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Note: This analysis employs logarithmic scaling to better visualize percentage-based price movements and cyclical patterns.

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