All posts by Gary Lammert

A Primer on the Two Simple Fractal Self-Ordering Laws of Saturation Asset-Debt Macroeconomics and the 1929 and 2024 Initial 3 phase Decay Fractal Series in Relation to the Previously Cited (13 year/36 year) 0.36 Fractal Proportionality

The goal of this website is to raise the specific question: does the timed-based growth and decay valuation mechanics of the asset-debt macroeconomic system operate according to simple deterministic self-assembly mathematical laws, conferring the category of a patterned science to the global asset-debt macroeconomic system – just as those characteristics make astrophysics, physics, chemistry, biochemistry, and biology, et.al. patterned sciences.

There appears to be two elegantly simple time-based self-ordered fractal laws governing the valuation growth and decay of readily tradable assets within the asset-debt macroeconomy, with debt also a tradable asset.

First Law. A self-assembly 4-phase fractal series: in the ‘x unit’ time fractal order of x/2x-2.5x/2x-2.5x/1.4-1.6x.
The length of first fractal time period x and the second fractal 2-2.5x are determined by the beginning and ending nadir valuations of the fractal grouping. Underlying tangent lines or curvi-linear lines (during blow-off first fractals)are below all unit low valuations within the fractal grouping. A nonlinear lower gap between the 2x and 2.5x time frame characterizes and is the hallmark of the second fractal ending at a nadir value. The third fractal ends at high at 2-2.5x and the fourth fractal ends at a low valuation.

Second Law. A self assembly 3-phase fractal series: in the ‘x unit’ time fractal order of x/2x-2.5x/1.5x-2.5x. The length of the first, second, and third fractals time periods x, 2x-2.5x, 2x-2.5x, respectively are all determined by the beginning and ending nadir valuations. Underlying tangent lines are below all low valuations within the fractal grouping.

The time based fractal math of the growth and decay of asset valuations is one of simple proportionalities. While the time unit can be in minutes, hours, days, weeks, months, years, the serial growth and decay fractal proportionalities are observable and appear to self-assemble according to one of the two laws cited above.

Since 1807, the growth and decay of asset valuations in the US hegemony asset-debt macroeconomic system are deterministically self-ordering in the maximum fractal time lengths and in a 4-phase x/2.5x/2.5x/1.5x manner :: 36/90/90/54 years with nadirs in 1842-43, 1932, and expected in 2074 and a 90 year third fractal peak on 8 Nov 2021.

Since March 2020 unprecedented QE Central Bank monetary policy – and 5 years of historically high, peacetime averaged annual 8.9% deficit to GDP government fiscal spending have propelled the proxy ETF 100+ trillion composite ACWI global equity valuation to a 7 November 2024 all-time gapped higher high valuation and above the 90 year third fractal high on 8 Nov 2021.

After completing a 90 year second fractal in 1932, the US equity market began a third fractal first fractal subseries: a 3 phase 51 year x/2x/2x :: 10-11/20-22/20-22year ending in 1982. From 1982 US equities began an interpolated 4 phase 13/32/32/19-20 year :: x/2.5x/2.5x/1.5x fractal series containing the 90 year third fractal high on 8 November 2021 and expected to end about 2074-75 containing the fourth fractal of about 54 years.

Second fractals are characterized by gapped lower low nonlinear endings in the 2x -2.5x time frame. Such a terminus can be seen in the 27 October 2023 54/139 day :: x/2.5x first and second fractal, one and two days before the second fractal ending on 5 August 2024.

The US hegemonic 90 year second fractal with its 1807 to 1842-43 36 year first fractal base and ending in 1932 had a September 3 1929 to 8 July 1932 peak to nadir length of 35 months. Based on the 0.36 ratio of the 1982 13 year first fractal to the 1807 36 year first fractal length, the decay peak to nadir ratio for the 1994 32 year second fractal is expected, by proportionality, to be 0.36 x 35 months or 12.6 months.

On 9 August 1929, a 3 phase approximate x/2x/2x initial decay fractal series of 13/27/30 days self-assembled :: with the 13 day first fractal ending on 27 August 1929. The 27 day second fractal contained the 3 Sept 1929 all time DJIA high at 381.17. The 30 day third fractal started on 2 October and ended on 13 November 1929. Crashes of 11-12 % occurred on 24 October (with an assisted recovery ending in a 2% loss ) and on 28 and 29 October, respective days 17, 19 and 20 of the 30 day third fractal. The 13/27/30 day fractal series low ended on 13 November 1929 with the DJIA at 198.60, a 52% drop from its Sept 3 high.



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The 2024 ACWI global index daily 3 phase fractal series analogous and proportional to the 9 August 1929 13/27/30 day decay series started on 31 October 2024 with a curvi-linear 5 day first fractal and 10 day second fractal containing the 7 November 2024 gapped higher high peak ending on the high of the day, with an expected 31 October 2024 3 phase x/2x/2x :: 5/10/11 day series (if the last 11 day third fractal is proportional in length to the 1929 30 day third fractal with respect to its 13 day first fractal base). This 31 October 3-phase fractal series would end on 2 December vice 1 December 2024.

The 5 day first fractal can be better seen on the European STOXX 600 one month daily chart, which is transpiring a weakening European economy and was unaffected by the euphoria of a presidential election.
The second graph shows a ten day hourly chart with a straight tangent underlying (below the low valuations) of all intervening hours (hours 2 through 34 to 36) in the 5 day first fractal.


Of note, the ratio of the 2024 5/10/11 day or 24 day fractal series to the 1929 13/27/30 day or 68 day series is 0.353 which is within 2 % of the 0.36 ratio of the 1982 13 year first fractal length divided by the 1807 36 year first fractal length.

Finally by proportionality, what is the expected valuation peak of a second fractal with an expected 2.5x length of 32 years (1982 13/32 years) when compared to a 1842-3 to 1932 known 90 year second fractal (1807 36/90 years)and with its known valuation peak(3 Sept 1929) of 87 years? The math is simple: {(32 times 87) divided by 90}. This equals 30.93 year making the timing of the 7 November 2024 peak proportionally appropriate.

The November 7 2024 Peak Global Equity Valuation and the 0.36 Fractal Proportionality Peak to Nadir Timing for the Re-calibration of Asset Overvaluation and Bad Debt Liquidation in 1929 verses 2024

The length of time of the fractal pathway from the asset-debt macroeconomy’s peak asset valuation to its nadir valuation in 1929 vice 2024 may well be 0.36 , which is the ratio of the length of the 13 year 1982 to 1994 interpolated first fractal to the length of the 36 year 1807 to 1842-43 first fractal of the US hegemonic 36/90/90/54 year great fractal series ending 2074.

November 7 2024 marked the global equity peak for the 32 year second fractal of 1982’s 13 year interpolated first fractal just as 3 September 1929 represented the 90 year second fractal peak for the 1807 36 year first fractal.



The higher high gap for ACWI, the 100 + trillion dollar global ETF equity index on 7 November, 2024 has been observed only once before on 27 Sept 2024 and not even on the 90 year third fractal (of the 36/90/90/54 year series) inflation adjusted high average valuation on 8 November 2021.

By fractal count the time duration between the 3 Sept 1929 high and the 8 July 1932 low was 35 months. 35 months times 0.36 is 12.6 months which would put the crash asset low (by fractal time count) to be in late October- November 2025.

US conservative fiscal policy by the new conservative majority in the executive and legislative branches will likely oppose any further deficit spending – very much akin to the Hoover administration in 1929 to 1931 with deficit to GDP spending of -0.7, -0.8 and 0.6%, even as GDP fell by 10 % a year.

QE monetary policy by the Fed and central banks will benefit primarily financial institutions with their first use of money making even greater wealth disparities between those with assets and without assets.

Of all countries China is perhaps in the worst position because of their real estate gross overproduction, overvaluation, and gross over-ownership by their citizens as a primary wealth holding vehicle.

For the Shanghai Property index the current weekly fractal projection from the Jan 2024 low is 14/30 of 34 weeks. The daily series from the 11 September 2024 low is 9/21/8 of 24 days ending with a crash low on 1 December 2024. The normal fractal progression of a 14/34/28-34/21 week progression would place the nadir low in late October-November 2025, the same as the 0.36 ratio as above. The 28-34/21 week 3rd and 4th fractals will not follow the standard grow and decay model but will follow a proportionality decay fractal model observable in the 1929 peak to nadir progression.



The ACWI correct fractal 5 Aug 2024 to 1 December 2024 24(+)/62 day :: x/2.5x progression is shown below and matches the Shanghai property index 1 December 2024 nadir date and the 5 week base decay fractal equivalent to 1929’s 13 week decay base.

12 November 2024: The Global Equity Synchronized Crash Nadir Day

The Sensex, the Shanghai Composite, the Nikkei, the US SPX, the European STOXX 600, the FTSE 350, and the global Composite ACWI ETF all have daily fractal patterns ending in a synchronized great global equity (and commodity and crypto) crash on 12 November 2024.

Looking at the FTSE, the crash low appears to be on Friday 8 November completing a 20/50 day :: x/2.5x fractal series.

However, the FTSE had a trading holiday on 26 August 2024. For the European composite market, the STOXX 600, the first fractal is 21 days in length (x) with an expected second fractal of 2.5x or a 52 days with the crash low ending on Tuesday 12 November 2024. For the STOXX 600 (see below) note the nonlinear break between day 42 2x and day 43, the 2x-2.5x second fractal window. The final decay series starts on 18 Oct at the peak of a 2/5/4 day growth fractal series better seen on the FTSE 350 chart above and follows a 3/8/6/4 day progression :: x/2.5x/2x/1.5x.

This a STOXX chart from Thursday 7 November at the early-mid trading day.

India’s BSE had an average high valuation peak on 27 September 2024 and is following a 6/15/9 of 12 day :: y/2.5y/2y 3 phase Lammert decay fractal series ending in a crash nadir on 12 November 2024.

The Hang Seng Index and Shanghai Composite share a 17 September to 12 October 2024 4 phase 3/8/7/4 day terminal crash fractal pathway.

From 5 August to 12 November the Nikkei is following a 21/44 of 47 day first and second fractal series, The 47 day second fractal is composed of a 7/18/14/8 of 11 day fractal series.

Finally the US SPX. Below shows the 5 August fractal progression of a 1st and 2nd fractal series of 21/51 days ending 12 November. It is possible that the progression could be extended a day to 13 Nov following a 3/7/7/4 day or a 3/7/6/5 day fractal progression and resulting a 21/52 day :: x/2.5x 1st and 2nd fractal series. All of the above series could likewise have an additional day to reach the nadir and still conform to the two elegantly simple self-ordering valuation growth and decays laws that govern the asset debt macroeconomic system.