Showing posts with label AP Index. Show all posts
Showing posts with label AP Index. Show all posts

Saturday, August 22, 2026

S&P 500 vs. Ap Index: +3-Day Lag and Limits of Multi-Week Forecasting

The chart below illustrates the hypothesis that geomagnetic activity, measured by the planetary Ap index, precedes trend reversals, as geomagnetic disturbances subtly impair collective mood and increase risk aversion. This idea draws on research examining correlations between space weather and financial markets, including evidence of both direct and inverse relationships between Ap—and related Kp and F10.7—readings and subsequent market performance.

S&P 500 vs. Ap Index (Apr-Oct 2026). Projected Ap peaks:
Sep 4 (Fri),  Sep 17–20 (Thu-Sun), Oct 1 (Thu). 
 
Chart Construction and Data Sources
The chart overlays the daily S&P 500 with the Ap index shifted forward by three calendar days—the short lag that currently offers the best balance between the classic weekly effect reported in the literature and practical S&P 500 trading-day alignment. The series is then extended using the NOAA 45-day Ap forecast. Historical daily Ap data are sourced from GFZ Potsdam, while the dashed forward segment represents the latest NOAA SWPC 45-day Ap forecast, issued on August 22, 2026. 
 
Limits of the NOAA 45-Day Forecast for Forward Correlation
However impressive the historical correlation may appear, its reliability as a guide to future relationships is inherently limited. NOAA's 45-day Ap forecast is a relatively low-resolution space-weather projection, it is adjusted on a daily basis, and its predictive skill declines rapidly beyond the first week. Moreover, the forecast activity levels shown in the chart are modest (Ap 8–15) and remain well below classic geomagnetic storm thresholds: Ap 8–15 corresponds roughly to Kp 2–3 (quiet to unsettled conditions), while Ap 48 corresponds to Kp 5, the threshold for a NOAA G1 geomagnetic storm. 
  
Latitude-Dependent Solar Rotation and Active-Region Return Times
Sunspots and active regions do not return to the Earth-facing side of the Sun on a fixed schedule. Because the Sun rotates differentially—faster at the equator (~25 days sidereal, or ~27 days synodic as seen from Earth) and progressively slower at higher latitudes (reaching ~30–35 days near the poles)—the time required for a given region to reappear depends on its heliographic latitude. The standard Carrington frame uses a compromise rotation period of 27.2753 days (synodic), which roughly corresponds to the typical 10–20° latitudes of sunspots. Regions at higher latitudes therefore take longer to rotate back into view, while those near the equator return sooner. 
 
Solar Activity Snapshot: Comparing Sunspot distribution on the Earth-facing and far sides of the Sun (August 22, 2026).
 
From above the Sun's north pole, its rotation is counterclockwise, carrying sunspots from left to right.
 
Reading the Raben Earthside and Farside Maps 
The Raben maps above illustrate this directly: The Earthside view shows currently visible active regions, identified by NOAA numbers and activity-color coding, while the Farside view highlights returning regions with meridian lines estimating the number of days until they may reappear, assuming a uniform rotation rate. In reality, those return times can stretch or compress with latitude. A high-latitude complex visible on the farside today, for example, may take several additional days to rotate back into Earth view compared with a low-latitude region. 
 
How Returning Regions Drive F10.7 and Ap
These returning regions influence both the 10.7 cm radio flux (F10.7) and geomagnetic activity (Ap and Kp). F10.7 serves as a direct proxy for solar EUV/UV output associated with active regions and plages; when a large active complex rotates onto the Earth-facing disk, F10.7 typically rises. Ap, by contrast, responds more indirectly: high-speed solar-wind streams from coronal holes, as well as coronal mass ejections launched from Earth-directed active regions, can disturb the magnetosphere and elevate the planetary Ap index. 
 
Construction of the 27-Day and 45-Day NOAA Forecasts
Consequently, the 27-day forecast for F10.7 and the geomagnetic Ap and Kp indices and the 45-day Ap/F10.7 forecast issued and updated daily by NOAA SWPC, are both built around the expected recurrence of these features through solar rotation. The 27-day forecast is essentially a recurrence forecast, assuming that active regions and coronal holes will reappear roughly one Carrington rotation later. The 45-day forecast extends this approach farther into the future, blending recurrence-based estimates with a longer-term background trend.
The time a Coronal Mass Ejection (CME) takes to reach Earth depends mainly on its density and solar-wind conditions:. fast CMEs (>1,000 km/s) arrive in 1–2 days, average CMEs (500–1,000 km/s) in 2–3 days, and slow CMEs (<500 km/s) in 3–5 days.
The Moon's orbit through Earth's magnetosphere, and the corresponding reduction in solar wind ion flux as it enters the magnetotail cavity near full Moon (0°), provides one example of how the solar wind–magnetosphere configuration can influence geomagnetic conditions. More broadly, the semiannual variation of geomagnetic activity is linked to the interaction between the solar wind and Earth's tilted magnetic field, which typically causes increased geomagnetic disturbances around the equinoxes and lower activity around the solstices.
Why Multi-Week Ap Forecasts Remain a Coarse Guide
That is precisely why attempts to forward correlate 27-day and 45-day Ap forecasts with the S&P 500 are inherently limited. The Sun's differential rotation, the uncertain evolution of active regions—including their growth, decay, or disappearance while on the farside—the variable geoeffectiveness of individual regions, and the chaotic nature of solar-wind–magnetosphere coupling all erode day-to-day predictability.  
 
 
Hence, multi-week Ap and F10.7 forecasts should be interpreted primarily as defining a broad solar-activity envelope rather than as precise day-by-day projections capable of supporting a tight forward correlation with daily S&P 500 returns. By contrast, short-horizon tools—such as the NOAA 3-day forecast, the LSTM-based 72 hour Ap predictor, and real-time L1 solar-wind dataretain greater predictive value for near-term market conditions.
  
See also:

Friday, May 1, 2026

Federal Funds Rates & Solar Activity: Projection through 2031 | Vladimir Belkin

The present study compares the serial years of the average solar cycle with the arithmetic mean values of the effective US Federal Funds Rate for the period 1955–2025. 

Serial Numbers of Solar Cycle years (1 to 13) and Federal Funds Rates (%) projected through 2031. 
 
[...] The correlation between the serial number of solar cycle years and average Fed rates is extremely strong, with coefficients reaching -0.999 during years 5–7 and 0.994 during years 1–5. The serial number for the year 2026 in the current Solar Cycle 25 is 7. [...] Consequently, the forecasted Fed rate for 2026 is [...] 3.052%. The forecasted Fed rate for 2027 is [...] 3.558%
 
[According to Belkin's methodology, the Fed rate should rise and peak in 2029 at around 5.5%.]

Reference:
Vladimir A. Belkin (January 1, 2026) -  Federal Funds Rates and Solar Activity (1955–2025): Evidence of a Very High Correlation.
[СТАВКИ ПО ФЕДЕРАЛЬНЫМ ФОНДАМ И СОЛНЕЧНАЯ АКТИВНОСТЬ (1955-2025): ДОКАЗАТЕЛЬСТВО ОЧЕНЬ ВЫСОКОЙ КОРРЕЛЯЦИИ.
[Note: As of May 1, 2026, the Federal Reserve has set the target range for the federal funds rate at 3.50% to 3.75%., with the most recent daily effective federal funds rate (EFFR) recorded at 3.64%.]

Wednesday, January 21, 2026

"Does the Son of the Dust Know Anything More Beautiful?" | Einar Ben

Following the intense Northern Lights displays triggered by a G4 geomagnetic storm on January 19, 2026, forecasts now predict a Kp index of 4 for January 21. These auroras are currently visible across Iceland, Greenland, and the northern parts of Scandinavia, Russia, Canada and Alaska.
 
 Iceland, January 20, 2026.
 
» Does the son of the dust know anything more beautiful
than the palace of gods in electronic flames?
By the universe bosom everything is fire
and decoration of slithering northern lights.
From the seventh heaven to the ocean’s horizon... «

Thursday, December 19, 2024

Ap Index of Geomagnetic Activity and S&P 500 Returns | Lifang Peng et al.

Existing research provides strong evidence that geomagnetic activity impacts stock investment decisions by influencing human health, mood, and behavior. Using monthly geomagnetic indices and US stock market indices from the past 20 years, we found compelling evidence supporting a causal relationship between geomagnetic activity and stock market returns.
 
High AP Index, low stock market performance—really?
 
The results were robust, indicating that higher geomagnetic activity, which often corresponds with intense solar activity, is inversely related to stock market performance. In other words, when geomagnetic activity was higher, the stock market tended to perform worse.

 
The semiannual variation of geomagnetic activity is linked to the interaction between the solar wind and Earth's tilted magnetic field, which typically causes increased geomagnetic disturbances around the equinoxes and lower activity around the solstices.

Tuesday, December 17, 2024

Strong Inverse Correlation between Ap Index and Gold Price | Vladimir Belkin

A strong inverse correlation (coefficient -0.7879) between the geomagnetic Ap Index and the gold price, with a one-year lag, is observed over 57 years of data.
 
 Strong inverse correlation, with a one-year lag—seriously?
 
Based on the results of his study, the author predicts a significant decline in the price of gold in 2024.
 

 Gold (weekly bars) – January 1 to December 17, 2024: +28%.

Monday, October 10, 2016

SPX vs Solar Activity | Sunspots | 10.7 cm Flux | Ap Index

Raj Times and Cycles forecasted the next short term Low for October 10 (Mon) +/-1 TD (HERE)

The Presidential, Decennial, and Annual Cycles all point to a low in US-stocks on Monday, October 10 (HERE).