Shared analysis2026-10-15

^GSPC · daily cycle analysis

Random Walk regime · Hurst 0.549 · 8-bar daily cycle. Snapshot captured 2026-10-15 from a live FractalCycles analysis.

Hurst exponent

0.549

random-walk

Regime

Random Walk

Confidence 99%

Dominant cycle

8.0 bars

Next peak in 3 · trough in 7

Significant cycles

Out of 16 candidates

Price + composite cycle

Detrended composite of 4 selected cycles, scaled and overlaid on the most recent 600 bars. The dashed segment shows the cycle composite projected forward 79 bars.

Detected cycles

Cycles ranked by spectral power. Statistical significance is tested against the Bartels distribution against the platform default threshold; only cycles below that threshold are flagged significant.

Rank	Period (bars)	Bartels p	Significant	In composite	Phase	Next peak	Next trough
1	8.00	100.000	Yes	No	Rising toward zero	3	7
2	79.00	100.000	Yes	Yes	Falling below zero	57	18
3	29.00	100.000	Yes	Yes	Approaching trough	17	2
4	6.00	0.000	No	No	Falling toward zero	5	2
5	38.00	100.000	Yes	Yes	Just past peak	36	17
6	19.00	100.000	Yes	No	Rising toward zero	6	15
7	11.00	100.000	Yes	No	Approaching trough	7	1
8	52.00	100.000	Yes	Yes	Rising from trough	10	36
9	16.00	100.000	Yes	No	Approaching peak	1	9
10	60.00	100.000	Yes	No	Rising toward zero	22	52
11	25.00	100.000	Yes	No	Rising from trough	6	19
12	126.00	100.000	Yes	No	Rising toward zero	46	109
13	35.00	100.000	Yes	No	Falling toward zero	30	12
14	22.00	100.000	Yes	No	Rising from trough	5	16
15	27.00	100.000	Yes	No	Just past trough	12	25

Power spectrum

Goertzel-DFT power across the analyzed period range. Peaks indicate candidate cycle lengths; statistical significance is tested separately via Bartels.

How this snapshot was produced

Detrend method: hodrick-prescott. Sampling cadence: daily. Total bars analyzed: 600.

FractalCycles applies the Goertzel discrete Fourier transform across a candidate period range, tests each peak against the Bartels distribution for statistical significance, and classifies the current regime via the Hurst exponent (rescaled-range analysis). This snapshot represents the analysis output at the moment of sharing and does not update as new bars print.