Shared analysis2026-06-05

^GSPC · hourly cycle analysis

Random Walk regime · Hurst 0.548 · 41-bar hourly cycle. Snapshot captured 2026-06-05 from a live FractalCycles analysis.

Hurst exponent

0.548

random-walk

Regime

Random Walk

Confidence 100%

Dominant cycle

41.0 bars

Next peak in 23 · trough in 3

Significant cycles

Out of 20 candidates

Price + composite cycle

Detrended composite of 3 selected cycles, scaled and overlaid on the most recent 600 bars. The dashed segment shows the cycle composite projected forward 262 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	41.00	100.000	Yes	No	Approaching trough	23	3
2	48.00	100.000	Yes	No	Falling below zero	32	8
3	11.00	100.000	Yes	No	Approaching trough	6	0
4	24.00	100.000	Yes	No	Rising from trough	4	16
5	32.00	100.000	Yes	No	Rising toward zero	10	26
6	8.00	100.000	Yes	No	Falling below zero	6	2
7	78.00	100.000	Yes	No	Just past trough	38	77
8	138.00	100.000	Yes	Yes	Falling toward zero	115	46
9	13.00	100.000	Yes	No	Falling below zero	9	2
10	30.00	100.000	Yes	No	Rising toward zero	11	26
11	206.00	100.000	Yes	Yes	Falling below zero	152	49
12	262.00	100.000	Yes	Yes	Just past peak	247	116
13	55.00	100.000	Yes	No	Falling below zero	41	13
14	86.00	100.000	Yes	No	Approaching trough	50	7
15	58.00	100.000	Yes	No	Falling toward zero	47	18

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: hourly. Total bars analyzed: 900.

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.