All posts by Gary Lammert

The Elegant Interpolated Fractal Self-Assembly Math: The ACWI 7 April 2025 to 24 April 2026 53/107/106 day :: x/2x/2x 3-Phase Final Peak Valuation Fractal Growth Series and the 7 April 2025 53/107/132-133 day :: y/2y/2.5y 3-Phase Initial Crash Fractal Decay Series Devaluation.

New 7 April 2025 Terminal 3-Phase Fractal Peak Growth Model :: 53/107/106 days :: x/2x/2x with ACWI terminal peak valuation on Friday 24 April 2026.

Valuation growth and decay of the asset-debt system’s tradable assets occur in a highly ordered time-based mathematical fractal pattern.
Since the 7 April 2025 nadir, maximal growth for ACWI has occurred in a 53 day/107 day/98 of 106 day :: x/2.5x/2x 3 phase fractal growth series with an expected final peak valuation on 24 April 2026. This terminal growth fractal growth series is elegantly interpolated in a 7 April 2025 53/107/132-133 day :: y/2y/2.5y incipient 3 phase fractal crash decay series.

The 53 day 1st fractal is composed of a 10/25/20 day : x/2.5x/2x sub-fractal series. Each sub-fractal is composed likewise of self-assembly fractal subunits as depicted above.



The 107 day 2nd Fractal is composed of 4 sub-fractal series as shown above (the 12 day 2nd sub-fractal of the 29 day 1st sub-fractal series is actually 13 days) and the 3rd 14 day sub-fractal of the 4th sub-series is 13 days vice 14 days making the total length of the 2nd Fractal 107 vice 108 days) or alternatively, as below: a 29/62 :: x/2-2.5x 1st and 2nd fractal growth series growth followed by a peak to nadir 3/7/6/5 day :: y/2-2.5y/2y/1.5y 4-phase fractal decay series.



The 106 day 3rd Fractal to terminal peak growth follows the fractal pattern of the above 107 day 2nd fractal 2-phase fractal growth series and peak to nadir fractal decay series model with two sequential fractal series : a 19/47 day :: x/2.5x 2-phase growth maximum growth series followed by a peak to nadir 5/13/8 day :: y/2.5y/1.6y decay 3-phase fractal decay series and a 6(-)/14 day :: x/2.5x maximum growth series to reach a peak valuation on Friday 24 April 2026.



A 3-phase peak to nadir 6/14/9-10 day :: y/2-5y/1.6y fractal decay series or a 3-phase peak to nadir 5/12-13/12 day :: y/2-2.5y/2-2.5y fractal decay series or a 4-phase peak to nadir 4-5/10/10/7 day :: y/2-2.5y/2-2.5y/1.5y fractal decay series would represent the initial 27-28 day crash fractal decay series resulting an April 2026 53/107/132-133 day :: y/2y/2.5y decay series with an initial crash fractal series low on 1 or 2 June 2026.

This 53/107/132-133 day series is the 290-291 day 3rd fractal of a 27 October 2023 120/243/290-291 day :: y/2y/2-2.5y series.

The 120/243/290-291 day series becomes the 651-652 day 2nd fractal of a 13 Oct 2022 262/651-652 day :: x/2.5x 1st and 2nd Fractal series.

The base 1st fractal for the 4-phase 2026 crash fractal decay series maybe the 17 Dec 2025 10/25 day 1st and 2nd fractal series or 34 days. A 17 Dec 2026 34/82-3/82-3/50 day :: y/2-2.5y/2-2.5y/1.5y crash fractal decay series would place the 1982 to 2026 13/33 year :: x/2.5x 1st and 2nd fractal nadir in Dec 2026.

Expect The Expected: The Great 20 February 2026 to 24-28 April 2026 8/20/18-20 day :: y/2.5y/2-2.5y ACWI Incipient Global Equity Crash

Gold, Crypto, and global Equities are all undergoing a 1982 global equity 13/33 year :: x/2.5x 1st and 2nd fractal series’ terminal 33 year 2nd fractal incipient nonlinear crash which will transpire over the next 10 trading days starting 10 April 2026 and is following a 20 Feb 2026 to 24-28 April 2026 ACWI 8/20/8 of 18 to 20 day :: y/2.5y/2-2.5y 3 phase Lammert Fractal Crash Decay Series self similar to the incipient 11/26/27 day 1929 DJIA 3 phase Lammert Fractal Crash Decay Series.


The cause of the crash is a summation result of terminal 33 year 2nd fractal cycle enormous accumulation of global bad corporate and private debt that cannot be repaid – by the underlying ongoing dynamics of global wages and total job numbers of its citizens. This private debt expansion and accumulation has leveraged extreme over ownership and overvaluation of – equity, crypto, gold, silver, residential and commercial real estate, et. al. – pricing.

The Israeli-Trump war is a coincidental red herring accelerant to a predetermined 33 year terminal 2nd fractal private-debt-dependent nonlinear asset valuation crash.

A 17 Feb 2026 11/28/28 day :: y/2.5y/2.5Y 3-Phase Lammert Crash Fractal Decay Series?

The ACWI 3 March 2026 28 day 2nd Fractal of the 17 Feb 2026 11/28/28 day 3-phase crash fractal decay series appears conforming to a 5/10/9/7 day :: 28/70/56-57/42-43 hour :: y/2.5y/2-2.5y’/1.5y’ 4-phase fractal series where the 3rd 56-57 hour 2-2.5y’ subfractal of the series ends on a lower high. This 56-57 hour subfractal is composed of a 12/25/21-22 hour :: x/2.5x/2x 3-phase deteriorating growth fractal series.

The Two Lammert Time-Based Fractal Laws of Self-Assembly:

  1. A 4-Phase Series: x/2-2.5x/2-2.5x/1.5-1.6x , where the 3rd fractal ends on a peak or lower high valuation and the other 3 Fractals end on nadir valuations.
  2. A 3-Phase Series: x/2-2.5x/1.5-2.5x, where all 3 fractals end on nadir valuations. This can be written as y/2-2.5y/2-2.5y for crash devaluations where ‘y’ denotes declining valuations.

Added 31 March 2026 … A 23-30 % Devaluation in the French CAC by 13 April?

1929 initial DJIA fractal decay series: 10-11/26-27/27 days :: y/2.5y/2.5y

2026 initial ACWI fractal decay series : 17 Feb 2026 11/28/28 days :: y/2.5y/2.5y

1 April 2026 will be day 22 or 2y, a final lower high or lower lower high of the ACWI 28 day 2nd decay fractal following a 3 Mar 2026 5/10/9/7 day :: y/2y/2-2.5y’/1.5y’ 4-phase deteriorating growth and decay (sub)fractal series. (Day 9 of the 3rd fractal of this 5/10/9/7 series is day 22 of the 22 of 28 day 2nd fractal.) The expected 28 day ACWI nadir is 10 April 2028. The complementary hourly ACWI 2nd (sub)Fractal 4-phase deteriorating growth and decay series is 28/70/56/42 hours :: y/2.5y2y/1.5y.

For the French CAC with trading holidays on 3 Apr and 6 Apr, the expected 28 day 2nd Decay Fractal nadir is 13 April 2026. Looking at the first 5 day (5/10/9/7 days) 2nd fractal trendline, the CAC should lose greater than 22% of its 1 April 2026 lower high value by 13 April 2026.

See Lammert Saturation Macroeconomics for French CAC illustrations.