W.D. GANN, GEORGE BAYER, PLANETARY CYCLES & THE S&P 500: COULD HISTORY BE WARNING US ABOUT 2026–2028?

Can mathematical relationships, geometry, planetary cycles, and more than 75 years of stock market history help us anticipate the next major market turning point?

Anyone who has followed my posts over the years knows that I’ve studied the financial market theories and techniques of W.D. Gann for more than 30 years.

And when you spend that much time studying Gann, you inevitably encounter other fascinating market researchers, astrologers, mathematicians, and cycle theorists whose work explored similar territory.

Among them are George Bayer, L. J. Jensen, Llewellyn George, Sepharial (Walter Gorn Old), Donald Bradley, R. N. Elliott, and Samuel Benner, along with others who investigated financial cycles, mathematical relationships, planetary movements, and recurring patterns in human behavior.

Not all were Gann’s direct contemporaries or associates, and their methods were certainly not identical. But their research opens the door to some fascinating questions about the nature of financial markets.

One researcher who particularly interests me is George Bayer, author of the 1942 publication The Egg of Columbus.

Bayer explored recurring market formations using elliptical geometry, identifying patterns of accumulation, advancing prices, distribution, and decline.

That brings me to the illustration accompanying this post.

WHAT HAPPENS WHEN WE APPLY BAYER’S ELLIPTICAL THEORY TO THE S&P 500 FROM THE 1950s THROUGH 2026?

I’ve been examining historical SPX charts, dividing the market into major cycles and comparing those movements with Bayer’s elliptical formations.

I’ve also been exploring Pythagorean musical ratios, including the mathematical relationships of 3:2, 4:3, and 2:1, as possible tools for identifying support and resistance.

The idea is to investigate whether price, time, and geometry reveal recurring relationships that might otherwise escape our attention.

Consider the major market transitions we’ve experienced:

• The 1973–1974 bear market.
• The 1987 stock market crash.
• The 2000–2002 technology collapse.
• The 2007–2009 financial crisis.
• The 2020 COVID collapse.
• The 2022 bear market.

Each represents a significant change in market direction. The question is whether a mathematical cycle model could have identified elevated risk before those declines occurred.

NOW HERE’S WHERE THINGS GET INTERESTING.

Using the October 2022 S&P 500 low near 3,492 as a mathematical reference, several Pythagorean harmonic price levels emerge:

7,857 | 6,984 | 6,629 | 5,893 | 5,238

These aren’t arbitrary numbers. They result from applying specific mathematical ratios to an established market low.

However, whether the market consistently recognizes these levels as support or resistance is something that must be tested.

When we combine those levels with historical elliptical formations, one possible scenario worth investigating is a significant market correction sometime between late 2026 and 2028.

A deeper hypothetical correction could bring the S&P 500 toward the 5,200–4,600 region.

Am I predicting that the market WILL collapse? Absolutely not.

I’m examining whether historical mathematical relationships provide useful information about the probability and timing of major market reversals.

There’s an important difference between discovering a historical pattern and demonstrating that it has predictive value. The ellipses in this illustration are exploratory fits, not a statistically validated forecasting system.

I’ve never believed that technical analysis should be limited to moving averages, RSI, MACD, or conventional chart formations. Those tools have their place, but financial market research extends far beyond them.

Gann understood the importance of studying time and price. Bayer explored geometric formations. Other researchers investigated cycles, planetary relationships, and mathematical harmonics.

Whether those unconventional approaches provide a genuine trading advantage is precisely what makes them worth investigating.

My objective isn’t day trading or predicting every little market fluctuation. It’s understanding major market cycles well enough to recognize when long-term investment risk may be increasing.

After more than three decades of studying technical analysis, I still believe there’s plenty left to learn.

Study the accompanying illustration carefully. What do you see? Coincidence, mathematical structure, or something that deserves further investigation?

I’m particularly interested in hearing from others who have studied Gann, Bayer, Jensen, financial astrology, market geometry, or historical cycle analysis.

The purpose of research isn’t to prove what we already believe. It’s to discover what actually works.

Educational research and hypothetical market projections only. No prediction is guaranteed, and none of these experimental methods has yet been demonstrated here to outperform conventional investment strategies.

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