According to S&P 500, the phase space is defined as northern, since the price has risen above the upper fractal. Now we can examine signals from other market dimensions within the framework of Bill Williams’ strategy.
The phase space is defined as northern, but the Alligator’s lines are intertwined, which signals a high degree of uncertainty in the market because the Alligator is sleeping. However, the signal from the first phase of the market remains relevant.
The Awesome Oscillator indicator has consolidated below the zero mark.
On the Accelerator Oscillator indicator, the last bars are colored green and located above the zero line. This is a sign that the market has enough energy to continue the movement in northern direction.
As it is seen, the AC and AO indicators are in the green zone, which indicates that there is enough strength and energy to continue the movement in the northern direction.
The histogram of the Gator indicator has not formed a clear signal yet. The color of the histograms changes, indicating a change in market phase.
As a result, there is a northern phase space. At the same time, some indicators indicate the possible development of a pullback movement or the transition of the market to a new phase.
📊 Buy Stop 6890.33
❌ Stop Loss 6869.75
After entering the market, Stop Loss is carried along the red line after the closing of each candle. The profit is fixed by moving Stop Loss, or when opposite signals appear on the AO, AC, Gator indicators.
S&P 500 H1: The Chaos Theory Forecast for the American Session on 31.10.2025




