OPEN-SOURCE SCRIPT
Heisenberg Uncertainty Bands [JOAT]
HEISENBERG UNCERTAINTY BANDS [JOAT]
A novel band-and-state engine inspired by the Heisenberg uncertainty principle: the recognition that for a market, just as for a quantum particle, you cannot simultaneously be certain about both position (where price is) and momentum (how fast it is moving). Heisenberg Uncertainty Bands measures both uncertainties, tracks their empirical floor, classifies the current market into one of three quantum-inspired states — pure position |x⟩, pure momentum |p⟩, or mixed |ψ⟩ — and projects bands around price accordingly.
The principle, translated
In quantum mechanics, Δx · Δp ≥ ℏ/2 — the product of the position uncertainty and the momentum uncertainty cannot fall below a constant called Planck's reduced. For markets the analogue is:
Just like in physics, when the market is certain about position (price has been stable), it becomes uncertain about momentum (next direction is unknown) — and vice versa. The script measures both, computes the product, compares it to the empirical floor, and uses the ratio Δx/Δp as the state classifier.
Three quantum states
The state badge on the right of the chart shows the bra-ket glyph (Unicode |x⟩ / |p⟩ / |ψ⟩ by default; can fall back to plain POS / MOM / MIX if your font lacks the brackets). A state cooldown (default 3 bars) debounces flicker.
Band projection
Two band families are projected around the live mid price:
When the two families are far apart in width, the state is decisive (|x⟩ if position is much tighter, |p⟩ if momentum is much tighter). When they are similar, the state is mixed.
Optional uncertainty-score candle tint
A toggleable layer recolours each candle based on how far the current Δx · Δp product deviates from the empirical floor ℏ̂. When the product is at the floor, the market is at its quantum-mechanical minimum — the most decisive setup; further from the floor means the market is "spending uncertainty" on both axes simultaneously.
Visual system
A locked Plasma palette (yellow position / magenta momentum / violet mixed on a deep-void ground) gives the chart a distinctive physics-inspired identity.
Dashboard
Monospaced table, positionable to any of nine corners, optional compact-no-header mode. Surfaces:
Alerts
Three alert conditions:
How to read it
Two reads, in order of conviction:
When Δx · Δp is close to ℏ̂ (the empirical floor) the market is at its most efficient — there is no slack in either axis to spare. These bars often coincide with the cleanest reversals and breakouts; the candle-tint layer is there specifically to highlight them.
Suggested settings
Defaults (position window 20, momentum window 20, hbar smoothing 100, k = 2.0, state threshold 0.40) are tuned for 15m–4H on liquid markets. For lower timeframes drop both windows to 10–14. For HTF (4H+) raise both to 30–50. Log returns are the theoretically-correct mode and the recommended default; switch to Arithmetic only if your instrument has trivially small price scale.
Originality
The implementation — the Δx / Δp dual-uncertainty pipeline, the EMA-smoothed empirical ℏ̂ floor, the three-state quantum-inspired classifier with bra-ket labelling, the dual-band projection with auto-scale, the uncertainty-score candle tint, the cooldown-debounced state machine, and the plasma palette — is JOAT-original. No third-party code reused. The Heisenberg principle is fundamental physics; the financial-market analogue and its implementation here are original work.
Limitations
The Heisenberg analogy is structural, not literal — markets do not obey the quantum-mechanical commutator relation; the script uses the concept of an inviolable joint-uncertainty floor as a market-regime classifier. The empirical floor ℏ̂ is estimated by EMA over a long window (default 100 bars) — on instruments with very short history the floor is approximate. State classification can flicker across the threshold; the cooldown is there to suppress this and is tunable.
—
-made with passion by jackofalltrades
A novel band-and-state engine inspired by the Heisenberg uncertainty principle: the recognition that for a market, just as for a quantum particle, you cannot simultaneously be certain about both position (where price is) and momentum (how fast it is moving). Heisenberg Uncertainty Bands measures both uncertainties, tracks their empirical floor, classifies the current market into one of three quantum-inspired states — pure position |x⟩, pure momentum |p⟩, or mixed |ψ⟩ — and projects bands around price accordingly.
The principle, translated
In quantum mechanics, Δx · Δp ≥ ℏ/2 — the product of the position uncertainty and the momentum uncertainty cannot fall below a constant called Planck's reduced. For markets the analogue is:
- Δx — the rolling standard deviation of price over a configurable window. The uncertainty in where price is sitting.
- Δp — the rolling standard deviation of returns (log or arithmetic, configurable) over a separate window. The uncertainty in how fast price is moving.
- ℏ̂ (hbar-hat) — the EMA-smoothed long-run product Δx · Δp. The script's empirical estimate of the market-specific lower bound.
Just like in physics, when the market is certain about position (price has been stable), it becomes uncertain about momentum (next direction is unknown) — and vice versa. The script measures both, computes the product, compares it to the empirical floor, and uses the ratio Δx/Δp as the state classifier.
Three quantum states
- Pure Position State |x⟩ — Δx/Δp below the position threshold (default 0.40). Price is constrained to a tight band; the next directional move is uncertain. Yellow palette.
- Pure Momentum State |p⟩ — Δp/Δx below the momentum threshold (default 0.40). Direction is committed; the range is widening. Magenta palette.
- Mixed State |ψ⟩ — neither pure state condition holds. Violet palette.
The state badge on the right of the chart shows the bra-ket glyph (Unicode |x⟩ / |p⟩ / |ψ⟩ by default; can fall back to plain POS / MOM / MIX if your font lacks the brackets). A state cooldown (default 3 bars) debounces flicker.
Band projection
Two band families are projected around the live mid price:
- Position bands — mid ± k × Δx. Solid by default. The classic "how wide is price ranging right now" envelope.
- Momentum bands — mid ± k × (Δp scaled to the price axis). Dashed by default (configurable: Dashed / Dotted / Solid). Projected so their visual range matches the position bands.
When the two families are far apart in width, the state is decisive (|x⟩ if position is much tighter, |p⟩ if momentum is much tighter). When they are similar, the state is mixed.
Optional uncertainty-score candle tint
A toggleable layer recolours each candle based on how far the current Δx · Δp product deviates from the empirical floor ℏ̂. When the product is at the floor, the market is at its quantum-mechanical minimum — the most decisive setup; further from the floor means the market is "spending uncertainty" on both axes simultaneously.
Visual system
- Position bands (solid, gradient fill optional).
- Momentum bands (dashed / dotted / solid).
- Mid line (style configurable).
- State badge (right-side floating, configurable offset and size).
- Background tint by state (configurable transparency, institutional default).
- Optional candle re-tint by uncertainty score.
A locked Plasma palette (yellow position / magenta momentum / violet mixed on a deep-void ground) gives the chart a distinctive physics-inspired identity.
Dashboard
Monospaced table, positionable to any of nine corners, optional compact-no-header mode. Surfaces:
- Current Δx and Δp values.
- Δx · Δp product and its ratio to the ℏ̂ floor.
- Δx / Δp ratio (drives the state).
- Current state (|x⟩ / |p⟩ / |ψ⟩) with bar age.
- Last state change with bars-ago.
- Return mode (Log / Arithmetic) in use.
Alerts
Three alert conditions:
- Pure Position State entry
- Pure Momentum State entry
- Mixed State return
How to read it
Two reads, in order of conviction:
- Pure Momentum State |p⟩ entry is the script's directional commitment signal. Momentum has decisively exceeded position uncertainty — the move is real. Trend-following tools and breakout entries become high-conviction.
- Pure Position State |x⟩ is the coil. Range has clamped down, direction is undecided. Reversion tools become high-conviction inside the band; the next state transition (back to |ψ⟩ or jumping to |p⟩) often produces a decisive breakout.
When Δx · Δp is close to ℏ̂ (the empirical floor) the market is at its most efficient — there is no slack in either axis to spare. These bars often coincide with the cleanest reversals and breakouts; the candle-tint layer is there specifically to highlight them.
Suggested settings
Defaults (position window 20, momentum window 20, hbar smoothing 100, k = 2.0, state threshold 0.40) are tuned for 15m–4H on liquid markets. For lower timeframes drop both windows to 10–14. For HTF (4H+) raise both to 30–50. Log returns are the theoretically-correct mode and the recommended default; switch to Arithmetic only if your instrument has trivially small price scale.
Originality
The implementation — the Δx / Δp dual-uncertainty pipeline, the EMA-smoothed empirical ℏ̂ floor, the three-state quantum-inspired classifier with bra-ket labelling, the dual-band projection with auto-scale, the uncertainty-score candle tint, the cooldown-debounced state machine, and the plasma palette — is JOAT-original. No third-party code reused. The Heisenberg principle is fundamental physics; the financial-market analogue and its implementation here are original work.
Limitations
The Heisenberg analogy is structural, not literal — markets do not obey the quantum-mechanical commutator relation; the script uses the concept of an inviolable joint-uncertainty floor as a market-regime classifier. The empirical floor ℏ̂ is estimated by EMA over a long window (default 100 bars) — on instruments with very short history the floor is approximate. State classification can flicker across the threshold; the cooldown is there to suppress this and is tunable.
—
-made with passion by jackofalltrades
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这些信息和出版物并非旨在提供，也不构成TradingView提供或认可的任何形式的财务、投资、交易或其他类型的建议或推荐。请阅读使用条款了解更多信息。
开源脚本
秉承TradingView的精神，该脚本的作者将其开源，以便交易者可以查看和验证其功能。向作者致敬！您可以免费使用该脚本，但请记住，重新发布代码须遵守我们的网站规则。
The AI Trading Ecosystem, Built to win trades 📈
Get Full Access 👇
jackofalltrades.vip 🌐
t.me/jackofalltradesvip 🃏
Get Full Access 👇
jackofalltrades.vip 🌐
t.me/jackofalltradesvip 🃏
免责声明
这些信息和出版物并非旨在提供，也不构成TradingView提供或认可的任何形式的财务、投资、交易或其他类型的建议或推荐。请阅读使用条款了解更多信息。