Solar Cycles and Inflation-Adjusted Gold Price Forecasting | Vladimir Belkin

Vladimir Belkin's latest study quantifies the relationship between solar activity and the inflation-adjusted price of Gold (1968–2025) within a Jevons–Chizhevsky analytical framework. By synchronizing real Gold prices with the ordinal structure of solar cycles—measured via sunspot (Wolf) numbers—it identifies a strong and statistically significant fit (R² = 0.9081, p = 0.0115), implying that approximately 90.8% of the variance in real Gold prices is explained by his solar-cycle model. 

 

Grouping of data by ordinal numbers of years in solar activity cycles (1968–2025).

 

Rather than implying direct causation, the results point to a cyclical transmission mechanism in which solar rhythms embed and modulate underlying economic periodicities, notably Kitchin- and Juglar-type cycles, thereby acting as a structural driver of long-term commodity price behavior.

 

Ordinal years of the mean solar cycle and inflation-adjusted Gold prices

(1968–2025); superposed epoch analysis of 58 years of observations.

The model integrates CPI-adjusted Gold price data with a superposed epoch framework, aligning multiple solar cycles into a normalized temporal structure and fitting a 6th-degree polynomial to capture the nonlinear progression of price behavior across cycle phases (chart above). This produces a phase-sensitive waveform that preserves both timing and amplitude characteristics of historical Gold price movements relative to the solar cycle. The robustness of the fit suggests a stable coupling between solar variability and macro-financial conditions—likely mediated through liquidity, inflation expectations, and broader cyclical economic regimes.

The study advances beyond descriptive correlation to a deterministic forecasting model. Each calendar year is mapped to its corresponding position within Solar Cycle 25, and forward price projections are derived using empirically observed year-to-year transition ratios embedded in the cycle structure.

Within this framework, 2026 (cycle year 7) implies a contraction in real Gold prices to approximately $2,536.35/oz (0.70 × $3,623.36), followed by 2027 (year 8) with a modest recovery to $2,587.08/oz (1.02 × prior year). 

This projected path is consistent with the transition from peak solar activity into the declining phase of the cycle, which historically coincides with reduced upside momentum, elevated volatility, or corrective dynamics in real Gold prices.

For the post-2025 horizon, the model therefore implies a nonlinear, wave-structured trajectory rather than a sustained directional trend: late-cycle topping behavior into the solar maximum, followed by cyclical deceleration into the late 2020s, and eventual reacceleration as the next solar minimum-to-maximum sequence unfolds. 

 

Forecasted development of the current Solar Cycle 25 (NASA).

 

These projections remain conditional on three factors: the accuracy of solar cycle forecasts, the stability of the regression relationship, and the interaction with concurrent macroeconomic cycles. Within those constraints, the framework offers a high-coherence, quantitatively grounded method for translating solar-cycle dynamics directly into forward estimates of inflation-adjusted Gold prices.

Reference:

Vladimir Belkin (July 1, 2026) - Solar Activity and the Inflation-Adjusted Price of Gold (1968–2025): R² = 0.91. 

 

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The extension of Belkin’s inflation-adjusted Gold price forecast through 2032 applies the same chaining methodology, using average ratios from column 5 in his table above and starting from $3,623.36 in 2025. Solar Cycle 25 began in 2019–2020 (2020 = Year 1) and is expected to end around 2030–2031, with Cycle 26 beginning. 

  

Inflation-adjusted Gold price forecast through 2032.

 

The resulting forecasts are 2025 at $3,623.36, 2026 at $2,536.35, 2027 at $2,587.08, 2028 at $2,664.69, 2029 at $3,011.10, 2030 at $3,462.77, 2031 at $2,735.59, and 2032 at $3,474.20. 

 

 

Inflation-adjusted Gold price will likely peak around 2033-2034.

  

The method is unchanged, with 2026–2027 matching Belkin's paper exactly. 2031 is the Cycle 25 minimum, and 2032 begins Cycle 26 using the average Year 1–to–Year 12 ratio. All figures are real (inflation-adjusted) and reflect the typical decline into solar minimum followed by a rebound. This is a statistical historical correlation; Gold prices are also driven by other factors, and Belkin’s solar cycle timing carries an uncertainty of about ±1 year.

 

See also:

Sergey Tarassov (2026) - Gold's 7.8-Year Cycle: Historical Analysis Since 1782. 

 NOAA (ongoing) - Solar Cycle Sunspot Number Progression.

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%.]

Federal Funds Rate versus US Treasury 2-Year Yield: Does the Fed follow market rates—or lead them? 

See also:
 Vladimir A. Belkin (2014) - "Cosmic Cycles of Global Conjuncture" and Outlook into 2035. 

Vladimir A. Belkin (2024) - 2025-2027 Oil Price Decline Linked to Solar Cycle Activity.

Vladimir A. Belkin (2024) - Strong Inverse Correlation between Ap Index and Gold Price.

Aleksander Valkov (2025) - Helioeconomics: Solar Cycles as the Hidden Pacemaker of Global Economic Fluctuations.

Leonty Miroshnichenko (2023) - Kondratiev Waves Aligned with Solar Cycles.

 

"Cosmic Cycles of Global Conjuncture" & Outlook into 2035 | Vladimir A. Belkin

Vladimir Belkin's 2014 study "Cosmic Cycles of Global Conjuncture" (КОСМИЧЕСКИЕ ЦИКЛЫ МИРОВОЙ КОНЪЮНКТУРЫ) synthesized the interconnections between solar activity cycles and global economic fluctuations. Belkin posited a robust inverse relationship between peaks in solar activity—measured via Wolf sunspot numbers—and subsequent declines in world output and US GDP growth, drawing on the fields of Heliobiology and Helioeconomics. Employing correlation and lagged regression analyses over extended historical periods, he demonstrated cyclical alignments with Juglar (7–11 years) and Kitchin (3–5 years) business cycles to forecast economic deterioration in 2014–2015.

Chart 1 above ("Kitchin and Juglar cycles of world output as a function of solar activity, 1961–2013.") illustrates Kitchin and Juglar cycles in world output (1961–2013) against lagged solar activity. Dual axes show Wolf numbers (left, solid line) peaking inversely to output growth (right, dashed line, one-year lag), with visual mirroring and R² ≈ 0.99 in segments, confirming short-term solar-driven volatility.

Extending this, chart 2 ("Kitchin and Juglar cycles in US GDP as a function of solar activity, 1798–2013.") applies the same to US GDP (1798–2013), demonstrating remarkable persistence over two centuries. The inverse pattern—solar peaks followed by GDP troughs—spans industrial revolutions and institutional changes, with a correlation of –0.88, underscoring the robustness of heliobiological influences on economic history.

Chart 3 ("Strong inverse relationship between cycles of world output and cycles of solar activity.") depicts the strong inverse between normalized world output cycles and solar activity (1961–2013 extended), with Wolf numbers (solid) and lagged growth index (dashed) as near-mirror images. A correlation of –0.87 highlights how solar rises precipitate growth falls, validating Belkin's claim of solar activity as a primary cycle determinant.

Focusing on extrema, chart 4 ("Strong inverse relationship between monthly extremes in Wolf numbers and annual world-output growth with a one-year lag.") presents a scatter plot of monthly Wolf peaks (x-axis) against annual world growth one year later (y-axis, 1964–2009), with a downward-sloping regression (R² = 0.7597). Higher solar maxima predict deeper slowdowns, offering a precise metric for crisis intensity.

Chart 5 ("Strong inverse relationship between the long cycle of world output and the long cycle of monthly solar-activity maxima.") addresses long cycles, plotting world output growth around solar maxima years (1968–2000, black line) against average Wolf numbers. A stepwise decline in growth per successive maximum (correlation –0.85) reveals secular trends, where weakening solar cycles since 1968 coincide with diminishing global expansions.

Complementing the above charts, Table 1 quantifies post-maxima declines: for solar peaks in 1968, 1979, 1989, and 2000, world growth fell by –2.90%, –2.01%, –2.42%, and –2.19% within two years, respectively. Belkin projected –2.38% for 2013 (delayed Cycle 24), forecasting a 2014–2015 downturn to ~2.0% growth, aligning with emerging-market vulnerabilities.

Collectively, this substantiates high statistical significance, with lags explaining physiological delays (e.g., geomagnetic storms reducing blood flow by 32–40%, fostering pessimism). Methodologically, Belkin employed:

• Lagged correlation analysis: Economic growth is regressed against solar activity with a one-year lag, reflecting delayed physiological impacts (e.g., solar maxima precede growth troughs). 
• Cycle decomposition: Juglar and Kitchin cycles are isolated via smoothing and differencing, then overlaid on solar series to visualize inversions.
• Regression modeling: Scatter plots with fitted lines quantify relationships, reporting R² and correlation coefficients (e.g., –0.87 to –0.88 overall).
• Forecasting via extrapolation: Historical patterns inform projections, adjusted for NASA solar forecasts (e.g., delayed Cycle 24 peak in 2013–2014).

Applying Belkin’s methodology to current solar forecasts yields the following calibrated projections for 2025–2035:

• 2025–2026: Cycle 25’s prolonged maximum (SSN peak 160.8 in Oct 2024, extending to mid-2025) signals imminent slowdown via the lagged inverse correlation (r ≈ –0.87; chart 3); expect global GDP deceleration of 2.0–2.5% from 2024 levels to 1.5–2.0%, mirroring Table 1’s –2.38% post-peak drop, with initial geomagnetic volatility worsening emerging-market risks (as in Belkin’s 2013–2014 forecast).
• 2027–2030: Cycle 25 minimum (2029–2030) reverses the trend, producing upswings similar to post-minimum recoveries (charts 1 and 2); secular weakening (chart 5) moderates amplitude, but growth should accelerate to 3.5–4.5% by 2029, driven by solar quiescence and reduced crisis propensity.
• 2031–2035: Cycle 26 onset (2029–2032 start, moderate SSN max ~131–160 ca. 2040–2043) brings rising solar activity that erodes gains per the inverse linkage (chart 4, R² = 0.76), yielding 1–2% cumulative drag by 2035 and possible mild recession if the cycle exceeds forecasts; overall 2025–2035 average growth 2.5–3.0% (chart 5 declining envelope), contingent on astrophysical accuracy.

Solar-timing uncertainties (e.g., exact Cycle 26 start) require integration with endogenous models, and post-2025 validation will refine accuracy.

Reference:
Vladimir A. Belkin (2014) - Cosmic Cycles of Global Conjuncture.
(КОСМИЧЕСКИЕ ЦИКЛЫ МИРОВОЙ КОНЪЮНКТУРЫ).

Vladimir A. Belkin holds a Doctorate in Economic Sciences and is a leading research scientist at the Chelyabinsk Institute of Economics, Ural Branch of the Russian Academy of Sciences, and Professor of Economics, Finance, and Accounting at the Chelyabinsk Branch of the Russian Presidential Academy of National Economy and Public Administration. Renowned for pioneering helioeconomics, his extensive publications—over 90 since 2008—explore inverse correlations between solar activity cycles and global economic fluctuations, with recent works (up to 2025) analyzing GDP growth, US federal fund rates, and commodity prices.

See also:

Vladimir A. Belkin (2024)  - Economic Crises and Solar Activity Extrema: Calculation of the Fall in the World GDP Growth in 2025. 

Vladimir A. Belkin (2024) - Strong Inverse Correlation between Ap Index and Gold Price. 

Vladimir A. Belkin (2024) - 2025-2027 Oil Price Decline Linked to Solar Cycle Activity.   

Aleksander Valkov (2025) - Helioeconomics: Solar Cycles as the Hidden Pacemaker of Global Economic Fluctuations.

Leonty Miroshnichenko (2023) - Kondratiev Waves Aligned with Solar Cycles.  

Tatiana Alexandrovna Zenchenko & Tamara Konstantinovna Breus (2021) - The Possible Effect of Space Weather Factors on Various Physiological Systems of the Human Organism.

A 2020 first-light video from the Daniel K. Inouye Solar Telescope captures solar granulation at unprecedented 30 km resolution in 705 nm light, revealing convection cells approximately the size of Texas, where hot plasma rises in bright centers and sinks along dark intergranular lanes, driving surface heat transfer while tiny magnetic bright points channel energy to the million-degree corona. Amid Solar Cycle 25's heightened activity—having peaked in late 2024 with elevated sunspot numbers exceeding initial forecasts—such high-resolution observations continue to refine models of solar flares and space weather impacts. 

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.

 

Reference: 

Vladimir Belkin (January 2024) - Geomagnetic Ap Index (1966-2022) and the Price of Gold with a Lag of 1 Year (1967-2023): Evidence of a Strong Inverse Correlation. 

Ap Index 2018 into 2032 (NASA, updated December 5, 2024).

 

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

2025-2027 Oil Price Decline Linked to Solar Cycle Activity | Vladimir Belkin

This study of solar-terrestrial relationships compares the years of the solar cycle based on Wolf sunspot numbers and the arithmetic averages of crude oil prices from 1970 to 2023 (solar cycles 20-25), all presented in a single chart. Mean annual Wolf numbers were sourced from the Solar Influences Data Analysis Center (SIDC), while Brent crude oil price data (adjusted to 2021 dollars) was obtained from BP and the Federal Reserve Economic Data website for 2022-2023.

Order of years in solar cycles and crude oil prices for the period 1970-2023.

Very strong correlation (coefficient 0.9908)

 

Using this data, the above diagram was created to illustrate the very strong correlation (coefficient 0.9908) between crude oil prices and the ordinal years of the solar cycles for the period 1970-2023.

 

 Polynomial function of oil price and year number in solar cycle for 1861–2019.

Very strong correlation (coefficient 0.9897)

Since 2024 marks the fifth year of the current Solar Cycle #25, it corresponds to an average forecast Brent oil price of $74.18 per barrel. In 2025, the sixth year of the cycle, the projected price is $56.04. In 2026, the seventh year of the cycle, the forecast is $43.84, while the anticipated price for 2027 is $42.84.

 

Reference: 

Vladimir Belkin (October 1, 2024) - Oil Price Decline in 2025-2027. 

 

See also:
Vladimir Belkin (2020) - Oil Prices and Solar Activity: Evidence of Strong Ties (1861–2019). 

Lu QiYuan (2024) - Scott Bessent's Covert MAGA Strategy for Trump 2.0.

Mikhail Gorbanev (2017) - Solar Activity and Economic Recessions.  

Ray Tomes (2005) - A 5.54 year cycle in Oil Prices.

Sunspot Number 2018 into 2032 (NASA, updated December 5, 2024).

 

 SIDC 12-month ahead predictions of the monthly smoothed Sunspot Number.