27/67 OF 68 DAYS :: X/2.5X : THE 5 AUGUST 2024 TO 14 DECEMBER 2024 1ST AND TERMINAL 2ND CRASH FRACTAL SERIES

The 27 October 2023 to 5 August 2024 55/139 day :: x/2.5x first and second fractal series occurred with a nonlinear lower low gap between day 137 and day 138 and again between day 138 and 139, one day beyond the usual maximum 2.5x second fractal time limit with a reversal on day 139 ending near the high of the day. It is possible a partial extra day could occur for the 5 August 2024 to 14 December 2024 27 day/currently 67 of 68 day first and 2nd fractal series. For the next 30 years with the immutable central bank remedy of monetization of debt , maximum 2.5x length of second fractals … in the first use of money and debt creation arena, the equity market -and by the advantaged wealthy who can and will readily borrow – will occur and should be expected. The elan of the December 2024 US Super Equity Bubble is divorced from the underlying realities of the citizens’ economy; manufacturing indicators down for 24 months, full-time jobs decreasing, high consumer debt load, and debt payment delinquencies increasing. The 68th/69th day of the x/2.5x 27/68-69 day 5 August 2024 will be a nonlinear lower low. How low will the low be? Time will tell. Is Tri-Continental Corp that dates before and survived 1919 the coal-mine canary? A lower low gap occurred on Friday the 13th.

On an optimistic note: perhaps Elon Musk’s unique abilities can be coordinated to target the production of enough thorium reactors to produce 50% of America’s energy requirements by 2035.

The Great Crash: The 5 August to 13 December 2024 first and second fractal series: x/2.5x :: 27/54 of 68 days: in the window of second fractal nonlinearity

In the US hegemonic 1807 36/90/90/54 year :: x/2.5x/2.5x/1.5x Great 4 phase fractal series, there are current (4) operating self-ordering first and second fractal series of interest: series 1: A 1982 to 2025 13/31 of 32 years series series 2: A March 2020 19/39 of 45 to 46 month series series 3: A 27 Oct 2023 to 5 Aug 2024 55/139 day completed series and a series 4: A 5 August 2024 to 13 December 2024 26/54 of 68 day series. Today, 25 November was the 2x or 54th day of the 4th series cited above: the 27/68 day :: x/2.5x series. Tomorrow the asset-debt macroeconomic system will enter the period of second fractal nonlinearity , i.e., between 2x and 2.5x, or day 55 and day 68. (See 2005 website introduction) A logical completion of series 3 above would be a x/2.5x/2x/1.6x series which would complete series 1: 13/32 years and series 2: 19/45-46 months. The final 3rd and 4th fractal of series 3 of time length 3.6x would about 198 days. A 5 August 2024 interpolated fractal series of x/2.5x/2.5x/1.5x composing the third and fourth fractal would equal 198 days. This would equate to a 5 August 27/68/67-68/40 day 4-phase fractal series. All global composite equities, cryptocurrencies, gold, and commodities will under similar devaluation during this time period. Below is the 5 Aug to 13 Dec 2024 27/54 of 68 day :: x/2.5x ACWI 100 + trillion dollar global equivalent proxy and its expected decay pathway.

THE 31 OCTOBER TO 10 TO 13 DECEMBER 2024 ACWI X/2.5X/2.5X :: 5/13/13 DAY 3-PHASE CRASH FRACTAL SERIES OR 4-PHASE X/2.5X/2X/1.5X :: 5/13/10/7 DAY CRASH FRACTAL SERIES

The 5 August ACWI’s first fractal has a length of 24 to 27 days, composed of respectively 5/10/11 day :: x/2-2.5x/2x and 6/13/10 day :: x/2-2.5x/1.6x 3-phase fractal series. The Nikkei favors the later series with a first fractal of 27 days with the European stock composites having 25 and 28 day first fractals (The US holiday Labor day not celebrated). Mathematically integrating and sharing 4 days between the 23 day and 27 day first fractals results in a 27/68 day :: x/2.5x ACWI first and second fractal series. An ACWI 11 Sept 6/12/12/10 day ::x/2x/2x/1.6x 4- phase fractal series ending on 31 October would be followed by a 5/13/13 day crash 3-phase fractal decay series ending 10 December 2024. (below)

Alternatively a 31 October 5/13/10/7 4 phase series would exactly complete a 5 August 27/68 day :: x/2.5x first and second fractal series (without the sharing of the 4 days) and end on Friday 13 December 2024. (below). This is the more likely of the two 31 October 2024 crash fractal pathways.

The STOXX 600 31 Oct to 5-6 December 2024 5/10 of 11-12/12 days :: x/2-2.5x/2-2.5x 3-phase CRASH Fractal Decay Series

The universe operates by patterned self assembly of its smallest units on the smallest scale to the largest scale with mathematical fractal self-ordering and self-assembly of its subunits, units, and interactive connecting structures. With energy vibration, the smallest tetrarhedrons of planck side length 1.616 10-35 M may have an averaged bowing length of 1.618: the fibonacci ratio. Fibonnaci ratio curved (and ... with respect to anti leptons and antiquarks - anticurved and ... with respect to photons, reciprocating curved-anticurved) self-assembled adjacent tetrahedron groupings form the basis of the universe’s leptons, antileptons, quarks, antiquarks, transfer bosons and - gravity. By fractal matrix math and tetrahedron composite structure, the strange world of quantum mechanics is linked to relativity’s macroscopic gravity. The STOXX 600 does not observe the US (ACWI) Labor Day Holiday and has a 5 August 20241st fractal base length 'X' of 25 days. Because 5 Aug starts on the low and ends on the high it is twice counted fractally for a total of 26 days. The expected second fractal 2.5x length is 65 days ending 5-6 December 2024. The STOXX 600 Fractal Graph is shown below: note the alternating 4-phase and 3-phase Lammert Fractal series that compose the fractal subunits of the 5 August 26/65 day :: x/2.5x first and second fractal series. A 65-66 day crash nadir low is expected 5-6 December 2024.

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- Novemder 2025. Conservative US 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 with an expected 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 Oct-Nov 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 fractal decay base.

A 5 NOVEMBER 2024 ELECTION DAY CRASH: THE 11 SEPT 6/12/15/10 DAY :: X/2X/2.5X/1.6X 4-PHASE LAMMERT CRASH FRACTAL SERIES

Within the US hegemonic 1807 great 4-phase x/2.5x/2.5x/1.5 fractal series of 36/90/90/54 years (with nadirs in 1842, 1932, and 2074) is the interpolated 1982 1st and 2nd fractal series of 13/32 years ending in approximately October 2025. A 14 week fractal series from 5 August to 5 November 2024 will form the incipient crash first fractal base for the weekly decay series ending in about Oct 2025. Since 1982 the US GDP has expanded from 3.3 trillion to 29 trillion, a 9 fold increase, while US debt has expanded from 1.1 trillion to 35 trillion, a 32 fold increase. Excess dollars created by governmental fiscal policy and facilitated by central bank monetary policy have flowed preferentially into equities aided with 20 years of corporate-lobbied legislative buy-back laws while US middle class manufacturing jobs have been expatriated in support of corporate financial goals over national security goals. US % GDP-deficit spending in 2020 was 14.66, the highest since WW2 with persistent 11.7, 5.3, 6.1, and 6.7 % deficit spending in subsequent years yielding a 4 year average of 2-3% annual GDP growth, touted to be the envy of G7 countries. Below is current fractal model of the 5 August 2024 to the 5 November 2024 crash which consists of two daily fractal subseries. This will complete a 16/40 week 1st and 2nd fractal series starting 27 October 2023.

The October Crash of 2024: Fractal self-similarities: 1987 and 2024 (21 Sept to 26-27 Oct 1987 and 11 Oct to 7 Nov 2024)

Equity valuations for Toyota, GM, Ford and Tesla represent basic daily, weekly, and monthly transactional weather vane markers aligned with the real needs of the population base of the pyramid of the asset-debt macroeconomic system. New net quality jobs creation or loss and ongoing debt load create the demand for vehicles, the companies' profits, and stock valuations. Trending vehicle manufacturer stock valuations are a reflection of the health of the net purchasing power of the population base. All manufacturers are following similar monthly, weekly, and daily fractal patterns since March of 2020, a time of Covid demand collapse and low equity valuations. Elon Musk, who has an 11K dollar Tesla EV set to roll out in the summer of 2025 and who is providing 75 million dollars to the Trump campaign, has a vested interest in having leverage against the mighty ICE’s oil and gas industries and vehicle manufacturing industries and in having political capital for the development of an ‘efficient’ massive electrical outlet infrastructure. If the democrats win, he then plays the ‘green’ card to support his tech and business goals Tesla’s operative self ordered monthly, weekly, and daily fractal patterns since March 2020 low are as follows: Monthly: 8/17/11 months :: x/2-2.5x/1.5x’ and 5/10/10 months :: x/2x/2x with the crash expected i the last week of Oct 2024.

Weeky: the weekly correlate of the 6 Jan 2023 5/10/10 month 3 phase fractal series is 17/40/39 of 40-42 weeks:. The terminal 40-42 weeks are composed of a 13/27 of 28-30 week 1st and 2nd fractal series:: x/2-2.5x . The terminal 27 of 28-30 weeks are composed of a 9/19 of 20-22 week 1st and 2nd fractal series x/2-2.5x. The 19 of 20 -22 weeks are composed of two weekly series: a 2/5/4 week :: x/2.5x/2x or 9 week fractal series and a 14 week: 5/7 of 8-10 fractal series: x/2x

Daily: The final 14 weeks starting 5 August are composed of a 5 week series: two subseries: 3/6/7/5 days and 2/4/5 days and a 10 week series: 7/14/currently 12 of 17/9-10 day series ending 6-7 November 2024.

The 1987 and the 2024 SPX 4 phase x/2-2.5x/2.5x/1.5-1.6x crash fractal series’ similarities: 4/9/10/6-7 days verses 6/14/15/9-20 days, respectively. 1987 had a SPX 21 September to 26-27 October 4/9/10/6-7 day :: x/2-2.5x/2x/1.5-1.6x 4 phase crash fractal sequence with the 19 Oct crash day representing day 10 of the 3rd fractal. This occurred relatively early in the incipient growth valuation phase of a 1982 to 2025 13/32 year :: x/2.5x 1st and 2nd fractal series. As such the 26-27 Oct 1987 lows, technically representing double bottoms, were slightly higher lows than the 19 Oct 1987 crash low.

Because in November 2024 asset-debt macroeconomic system is now within a year of the terminal 2025 nadir of the 1982 13/32 year 1st and 2nd fractal series, the 2024 SPX 11 October to 7 November 2024 6/14/15/9-10 day 4-phase crash fractal sequence will likely have a lower low on 7 November 2024 (day 10 of the 4th fractal) than the 25 October 2024 crash low(day 15 of the 3rd fractal).

Precise 2.5X maximum time length 27 Oct 2023 base first fractal interpolated second fractals. 7 Nov 2024 is exactly a 2.5x time ratio to its 27 Oct 2023 to 13 February 2024first fractal less than 74 day base. (13 Feb 2024 starts on a low and ends on a high). The time frame of its second fractal from13 Feb is 184 days or precisely 2.5X. This matches the precise x/2.5x ratio of the interpolated 27 Oct 2023 to 17 Jan 2024 55 day first fractal and its 17 an 2024 to 5 August 2024 138 day second fractal. The nonlinear lower low daily gaps are the characteristic feature of the terminal portion of a second fractal. (See 2005 initial Economic Fractalist website page.)

The October Friday 18 to October Friday 24 incipient 2024-25 Global Equity, Crypto, and Commodity Markets nonlinear CRASH DEVALUATION

The October Friday 18 to October Friday 24 incipient 2024-25 Global Equity, Crypto, and Commodity Markets nonlinear CRASH DEVALUATION: daily and weekly deterministic and mathematical fractal terminal 37-38 week 2ND FRACTAL NON-LINEARITY in the ACWI Oct 2023 16/38 week 1st and 2nd fractal series. In 2025, the US SPX will conclude the fractal self-assembly of a 1982 13/32 year :: x/2.5x 1st and 2nd fractal series. This series is interpolated in a larger US hegemonic 1807 to 2074 36/90/90/54 year :: x/2.5x/2.5x/1.5x Lammert 4-phase fractal series with nadirs in 1842-43, 1932 and 2074 and a 3rd fractal peak in November 2021. The October 2023 16/37 of 38 week 1st and 2nd fractal series is interpolated within the terminal 31 of 32 years of the 1982 to 2025 13/32 year : x/2.5x 1st and 2nd fractal series. From 2025 to 2074 US and global central banks will continue the same aggressive QE money expansion programs (perhaps with central banks borrowing at zero interest rates from each and to other ) following the pattern created after the respective March 2009 and March 2020 housing bubble and 2-3 % mortality rate Covid crashes. (The current 2020-2025 Chinese housing bubble crash is on an order of magnitude greater than the global hosing crash of 2007 to 2009.) The 5 August 2024 to 25 October 2024 final daily fractal crash pathway is interpolated within the final October 2023 16/37 of 38 week :: x2-2.5x 1st and 2nd fractal series. Below are the ACWI, the Russell 2000, and Indian BSE equity composites , the first two showing exactly similar patterns, and the latter showing a slight variant of the 16/37 of 38 week :: x/2-2.5x 1st and 2nd fractal series pattern of 17/36 of 37 weeks still :: x/2-2.5x.

The 5 Aug 2024 to 24 October 2024 daily ACWI pattern is interesting. The first fractal is an 18 day 3/6/7/5 day :: x/2x/2-2.5x/1.6x 4 phase fractal series. The second fractal 36 day 2x lower high ended Thursday 17 October with a final high on 14 October and consists of a 10 day (2/4/4/3 day) asymptotic lower low decay fractal series followed by a x/2-2.5x/1.6x growth series of 6/14/9 days ending 17 Oct. This x/2-2.5x/1.5-1.6x growth series is expected to evolve and self-assemble into a 6/14/15 day :: x/2-2.5x/2.5y crash decay series ending 24 October 2024. The 5 August to 24 October 18/42 day (59 day) or 4/9 week (12 week) 1st and 2nd fractal series will form the initial base fractal for the subsequent fractal series ending with a low in 2025.

The October Global Equity Crash Surprise: The Lammert 4-Phase Initial Base Crash Fractal Series: 2/5/5/3weeks :: X/2.5X/2.5X/1.5X

Like other October presidential election surprises, the crash will not have much effect on American voters. The plurality of Americans will vote for their individual autonomy, continuation of American institutions, prudent leadership in maintaining nuclear arms stability, and continued economic support of social programs and labor markets by central banks and central governments. The 1/2 quadrillion dollar equivalent Global Asset-Debt Macroeconomic system is deterministic, self correcting; the self determination of the system in times of excess debt, excess asset creation, and asset overvaluation is simply an order or several orders of magnitude greater than the capabilities of political and central banks' interventions to contain a major self correction of asset overvaluation. The March 2020 post Covid global central bank QE and thereafter QT program to respectively boost and thereafter constrain economic growth have resulted a yotal global equity index proxy, ACWI, 8/24/24/3 of 13-15 month 4-phase self-ordered fractal series. The CCP Chinese markets, a component of the ACWI have fared much worse, under the influence of a historical deflationary housing bubble collapse. The March 2020 to approximately September- October 2024 ACWI Lammert 4 phase fractal is shown below. 

The daily and weekly fractals from 5 August to 25 October which represent the initial 3 month base decay fractal in the above image are shown below.

Added 11 PM EST 15 October 2024:

AN ALTERNATIVE ACWI AUGUST 5 TO 24 OCTOBER 2024 X/2.5X/2.5X/1.6X :: LAMMERT 4-PHASE CRASH FRACTAL SERIES: 8/20/20/13 DAYS

Below is an alternative 4-phase Lammert fractal crash series ending 24 October 2024. From the ACWI closing peak on 26 Sept 2024 a 4/8/8/6 day decay series would contain the terminal 4th fractal 13 days (3/6/6 days) of the 8/20/20/13 day 4-phase fractal series.

MAXIMUM X/2.5X/2.5X GROWTH; THEN 1.5X DECAY: THE 5 AUGUST TO 14-15 OCTOBER 2024 7/18/18/10-11 DAY EUROPEAN 600 LAMMERT CRASH DECAY SERIES.

5 October 2024 Global equities are the most favored and tax advantaged of all investment instruments. Instead of providing tax advantages for the use of corporate profits for R and D and new product development and maximizing sovereign industrial and manufacturing growth, corporate-influenced legislation has promoted the use of corporate profits for trillions and trillions of dollars for stock buy-backs, further advantaging equity valuations. This is why there is the maximum 2.5x time growth for the self-assembly of 2nd and 3rd growth fractals. After the Oct 2025 crash low for global equities, this maximum time based growth will be the rule for the next 32-33 years. The British European 600 stock index is following a similar Lammert fractal pattern as the global ACWI equity index and the Nikkei composite. While The nikkei has had (and will have) 4 trading day holidays in the 5 August to 14-15 October 2024 time frame, the British European index has had only 1. From the 5 August 2024 low, the British European 600 stock index is following a self ordered self-assembly 7/18/18/4 of 10-11 day :: x/2.5x/2.5x/1.5x maximum time growth 4-phase Lammert fractal series ending 14-15 October 2024. Containing the 1 October 2024 10-11 day 4th decay fractal(2/5/5 days or 2/5/4/3 days) is an interpolated peak 27 September 2024 3/4 of 6/5-6 day :: y/2y/1-6-2y 3 phase Lammert Decay Series.

Added 6 October 2024 Confirmation of the 27 October 2023 to 15 October 2024 1st and 2nd fractals: The Russell 2000 weekly fractals since October 2023 From 27 Oct 2023 to 15 October 2024, the Russell 2000 is following a 16/37 week :: x/2x-2.5x 1st and 2nd fractal weekly pattern. The 37 week 2nd fractal currently at 35 weeks is following an 11/25 of 27 week :: x/2x-2.5x interpolated 1st and 2nd fractal series. The final 11 weeks of the 27 weeks is composed of a 2/4/5/1 of 3 week fractal series ending 15 October 2024. Downward global equity valuation nonlinearily will be evident over the next 7 trading days . If proportional fractal similarity is shared with the 1929 to 1932 decline, this 2/4/5/3 or 11 week 4-phase Lammert crash fractal series will be the 1st fractal base for a 11//22//(5/12-13/11-10/7 = 32)week crash fractal series ending Oct 2025.

27 September 2024 was the final higher high and lower high peak valuations for the ACWI Global Equity Index and the Nikkei, respectively. A 10-11 day crash 4th fractal is now expected from that peak ending 10-11 October 2024.

The 5 August 2024 to 10-11 October 2024 (10 week) 4-phase 2/4/4/3 week :: x/2x/2x/1.5x weekly fractal series correlating to a 8/17/16/10-11 day :: x/2-2.5x/2-25x'/1.5x' 4 phase daily fractal series for the ACWI and a 7/17/15/10-11 day :: x/2-2.5x/2-2.5x/1.5x series for the Nikkei had terminal higher high and lower high peak valuations respectively, on 27 September 2024, the 16th and 15th respective days of the third fractals. A 10-11 day crash is now expected from that peak ending 10-11 October 2024. This 10 week base fractal will serve as the first base decay fractal in a 4-phase fractal series ending the first or second week of October 2025.

THE ACWI 100 + trillion dollar global equity ETF 5 AUGUST 2024 TO 11 OCTOBER 2024 8/17/17/10 DAY :: X/2-2.5X/2.5X'/1.5X' CRASH FRACTAL SERIES

The Nikkei will complete a 5 August 2024 8/18/14 day :: x/2-2.5x/2x' growth fractal series on Monday 30 September 2024 while the ACWI and Western composite equities will complete an 8/17/17 day :: x/2-2.5x/2.5x' growth fractal series on 30 September 2024 with extension of the previous fractal model’s (2x) 14 day 3rd fractal to 2.5x' or 17 days. (The Nikkei had 5 trading holidays during this time frame.) The ACWI crash low (and Nikkei low) is expected on Friday 11 October 2024 following a 5 Aug 2024 to Friday 11 October 2024 4-Phase Lammert Crash Fractal Series: 8/17/17/10 day :: x/2-2.5x/2.5x’/1.5x’.

THE GLOBAL INDEX ACWI 5 AUGUST 2024 TO TUESDAY 8 OCTOBER 2024 8/17/14/10 DAY :: X/2.5X/2X’/1.5X’ :: 2/4/4/3 WEEK :: X/2X/2X/1.5X 4-PHASE FIRST BASE LAMMERT CRASH FRACTAL FOR THE INTERPOLATED 1982 13/32 YEAR FRACTAL SERIES

In 1929 a 3-phase 5/10/12 week :: x/2x/2.5x or 25 week Lammert first base crash fractal contained the Sept 1929 SPX peak and the November 1929 SPX crash low valuation. This was the asset-debt macroeconomic system’s mathematically self-assembled first base fractal initiating a decay fractal series for the completion of an US 1807 36/90 year x/2.5x first and second time-based fractal series ending in 1932. The 5 August to 8 October 2024 2/4/4/3 week or 10 week first base fractal will constitute the mathematically self-assembled first base fractal initiating a decay fractal series for an interpolated 1982 13/32 year first and second fractal series ending in 2025. ACWI is summation global equity index valued at over 100 trillion dollars. It contains the US Wilshire worth 57.5 trillion dollars and the Shanghai, Nikkei, Indian, HangSeng, and Canadian et. al. exchanges worth 10, 6, 5, 4, and 3 trillion, et. al., respectively. Since October 2023, the ACWI is following (the asset debt macroeconomic system has self-ordered self-assembled) a 17/33** of 36 week first and second series with an interpolated shorter 13/31** week series, the latter ending 5 August 2024 with nonlinear gapped lower lows on the daily charts characterizing the end of the 31** week second fractal.

The longer dominant Oct 2023 17 week (74 day) fractal series can be discerned easily via the 10 trillion dollar equivalent Shanghai composite whose 16 week(75 day) first fractal has a negative slope. Its second fractal of current/y 32 weeks is deteriorating and near the low of the 16 week 1st fractal and within 2 % of the Shanghai March 2020 low. The valuations are both consistent with a deflationary collapsing property bubble, the most over-produced, over-valued, and overowned in recorded history. (The HangSeng has a similar profile with a 8 October 2024 expected collapse to 10000)

The ACWI made a record valuation high on 19 Sept 2024 and is expected to make another on 25 September 2024 which is day 14 of a 8/17/14/10 day : x/2-2.5x/2x’/1.5x’ crash fractal series. From Wednesday 25 September 2024 to 8 October 2024 global markets are expected to crash forming the initial Lammert 10 week first base fractal for the decay fractal series to complete the 32 year second fractal of the 1982 13/32 year first and second fractal series, interpolated in the US 1807 36/90/90/54 year :: x/2.5x/2.5x/1.5x fractal series and ending 2074.

Interpolated Fractal Series to the 7 October 2024 low: 5 August 7/17/15/10 days and 13 September 3/8/8 days

While the US Wilshire 5000 on 13 Sept 2024 was within 1 % of its 16 July 2024 high valuation and over 125% above its March 2020 low, the 13 Sept 2024 Chinese Shanghai composite was within 2% of its March 2020 nadir low with a breach of that low expected within two trading days. The Chinese markets are under severe deflationary pressure from the collapsed and further collapsing property bubble with grossly excessive supply and two residential units available for every potential occupant. For the ACWI world index two interpolated larger length fractal series are evident: a 27 October 2023 74/148 day :: x/2x 1st and 2nd fractal (with the 148 day second fractal starting 13 February 2023) and a 13 Feb 2023 47/102 of 118 day :: x/2.5x series ending 7 October 2024. 5 August 2024 was the end date of yet another 1st and 2nd fractal starting 27 October 2023 54/139 days :: x/2.5x with the characteristic 2nd fractal gapped lower low nonlinearity between days 137 and 138 and between days 138 and 139.

From 5 August 2024, using as a global proxy the French CAC composite, an ongoing 7/17/8 of 15/10 day ::x/2.5x/2x/1.5x 4-phase fractal series and ending 7 October 2024 can be observed and modeled. 13 Sept 2024 is day 148 or 2x of the 27 October 74/148 day :: x/2x 1st and 2nd fractal which places the 2nd fractal in the window of 2nd fractal nonlinearity. A 13 Sept 2024 3/8/8 day :: y/2.5y/2.5y 3-phase fractal decay series would coincide with the terminal portion of the 5 August 2024 7/17/15/10 4-phase decay series and ending with both ending on 7 October 2024.

THERE ARE TWO IDENTIFIABLE OCTOBER 2023 INTERPOLATED FIRST AND SECOND WEEKLY AND DAILY: X/2-2.5X FRACTAL SERIES. 5 AUGUST 2024 REPRESENTED THE FIRST SERIES LOW: 8 OCTOBER 2024 IS THE SECOND SERIES GLOBAL EQUITY CRASH LOW

There Are Two identifiable October 2023 Interpolated First and Second Weekly and Daily x/2-2.5x Fractal series. 5 August 2024 represented the first interpolated fractal series’s low: 8 October 2024 is the second interpolated series’s Global Equity Crash Low.

It is the hypothesis of this website that the growth and decay of the asset-debt macroecomic system’s asset valuations self assemble in a deterministic and optimal mathematical time-based fractal manner under two simple self-ordered fractal ‘laws’ or modes: a 4-phase x/2-2.5x/2-2.5x/1.5-1.6x time-based fractal series and a 3-phase time-based fractal series: x/2-2.5x/1.5-2.5x. The arbitrary nomenclature within the 4 phase series is as follows: x is termed the first fractal; 2-2.5x is the second fractal; 2-2.5x is the third fractal, and 1.5-1.6x is the fourth fractal. In the 3-phase series x, 2-2.5x, and 1.5-2.5x are respectively termed the first, second, and third fractals. In the 4-phase fractal series, the third fractal ends on a high or lower high valuation, whereas the first, second, and fourth fractals end on the lowest valuation of the fractal grouping. In a three phase series, all three fractals end on a low valuation. With the exception of the third fractal in a 4 phase fractal series, fractal groupings are determined by initial time unit low and the terminal time unit low. The second fractal in both the 4 phase and 3-phase fractal series has as its hallmark characteristic, a nonlinear lower low gap decline in the last 2x to 2.5x time frame of the series – identifiable on the daily, hourly, and minutely time scales and sometimes on the weekly scales in longer (monthly) fractal series. With sequential unprecended QE started in March 2020 and thereafter unprecedented QT starting late 2021 The macroeconomic system’s equity valuations grew in a 8-9/24/24 month :: x/2.5x/2.5x fractal fashion from March 2020 to August 2024 completing the first, second, and third fractals of a 4-phase series. A characteristic nonlinear lower low gap can be seen on a weekly basis during the second week of June 2022 during month 21 of the 24 month second fractal (between 2x and 2.5x of the 9 month base March 2020 first fractal). There are two observable interpolated October 2023 Weekly and Daily First and Second Fractals identifiable by the asset-debt system’s second fractal nonlinear gapped lower lows terminal second fractal endings. 5 August 2024 represented the first interpolateds series low: 8 October 2024 is the second interpolated series Global Equity Crash Low. The elegantly simple self assembly fractal math with be shown in subsequent postings.

PEAK GLOBAL EQUITY VALUATION GROWTH FROM THE MARCH 2020 LOW : 8-9/24/24 MONTHS :: X/2.5X/2.5X … NOW THE INCIPIENT AUGUST 2024 CRASH

There is an undeniable observable elegance to the simple self assembly growth and decay of asset valuations within the global asset-debt macroeconomic system. The two simple self ordering time-based fractal laws governing all growth and decay of the system’s asset valuations are: x/2-2.5x/2-2.5x/1.5x and x/2-2.5x/1.5-2.5x. On the longest observable time scale in years, the US hegemony is following an 1807: x/2.5x/2.5x/1.5x yearly fractal series of 36/90/90/54 years ending in 2074 with lows in 1843-43 and 1932 and a (global) peak asset valuation in November 2021. This global peak is better understood if one considers inclusion of Chinese property valuation. An interpolated US fractal series started in 1982 (of 13/32 years ending in 2025) commenced with the peak double-digit Volcker fed funds rates which have been lowered in a cascadingly ratcheted manner with near zero rates after the 2009 global property bubble collapse and recently fed fund increases since 2021 to combat inflation caused in the main, by excessive global Covid QE programs. The length of US 3 month Treasury minus 10 year inversion QT program now exceeds the length (and depth) of the inversion leading to 1929. World Equity growth since the March 2020 covid lows have followed an elegant 8-9/24/24 month :: x/2.5x/2.5x growth fractal ending July-August 2024. The monthly sub fractals (following the self-ordering laws defined above) composing the 8-9/24/24 month fractal are shown in the graph below.

The last 10-11 months of the 24 month third fractal of 5/10/10-11 months are shown below in a series of weekly fractals :: 13/30-33 weeks. A 33 week second fractal can be observed to be a 5/10/13/8 week fractal ending 30 August 2024 with week 26 (2x) containing July 16 2024.

The final growth from 28 June 2024 to the peak of 16 July follows a 3/7/4 day :: x/2-2.5x/1.5x growth fractal. A reflexic 4 phase decay/decay/growth/crash decay fractal series of 6/13/12/9 days completes week 8 of the 33 week 5/10/13/8 week fractal series ending 30 August 2024. The July -August 2024 decay will be the beginning of a valuation decay process lasting 12 -15 months with substantial counter valuation growth fractals.

26 August 2024 completes a 3 July 2024 7/18/16 day :: y/2.5y/2-2.5y Three Phase Fractal Crash Decay Sequence

Kindly review the 19 August 2024 post. With the exception of third fractal growth in a 4-phase series, Fractal groupings are generally defined by the nadirs of the first and last time unit of the grouping with all values within the intervening time unit being above the nadir points. The crash devaluation of the ACWI world index reached a nominal peak on 16 July 2016. This was day 125 of an October 2023 59/125 day first and second fractal series and week 26 of an analogous 13/26 week first and second series. for the second fractal, after a 17 Jan 2024 20/47/49 day series, the peak valuation occurred in a 28 June 3-/7/4 day :: x/2.5x/1.5x growth fashion.

Integratively and with incipient decay beginning near end growth the 7 day second fractal of the 3-/7/4 day final growth series became the base first fractal of a 3 July 7/18/16 day crash decay sequence ending 26 August. Note that the 7/18/16 day decay series meets the criteria of fractal groupings.

THE WEEKLY AND DAILY FRACTAL CASE FOR AN UNEXPECTED FURTHER CRASH DEVALUATION WITH A SECOND FRACTAL NADIR ON 23 AUGUST 2024

In the x/2-2.5x/2-2.5x/1.5-1.6 four phase time based deterministic self ordering fractal model of Lammert asset-debt saturation macroeconomics, the 139 day 2nd fractal low on 5 August 2024 would nicely fit the standard model described in the 2005 web page with later modification and identification/description the US 1807 36/90/90/54 year and further identification of the 3 phase fractal growth and decay x/2-2.5x/1.5-2.5x. All of macroeconomic’s systems self assembly valuation growth and decay deterministic time ordering can be described in the context of the 4 phase and the 3 phase self assembly fractal series. 5 August 2024 is day 139 of a first and second daily fractal series of 59/139 days :: x/2x-2.5x and from the actual daily nadir valuation on 27 October 2023 to 5 Aug 2024 : 55/139 days. :: x/2.5x.

An alternative model can be observed in the weekly fractal series starting 23 October 2023 with a 13/32 of 32 week series ending this week. Week 26 is the peak of a 13/26 of 32 week series containing 16 July 2024, the unadjusted inflation peak valuation for the World index ACWI. The 26 week peak valuation is composed of a 5/10/13 week :: x/2x/2.5x growth series staring on 17 January 2024. The completion of this 4-phase fractal series would be 5/10/13/7 weeks.

The daily fractal series correlate to the 5/10/13/7 week 4 phase fractal series and the subfractal series that make up the first 59 day first fractal and the possible 153 day second fractal are shown below.

If 5 August 2024 was the nadir for the second fractal and the beginning of third fractal valuation growth and if there is no further second fractal crash devaluation in the equity, commodity and crypto markets ending about 23 August 2024, it will be difficult for the federal reserve to lower the fed funds rate in September 2024. An equity, commodity. and crypto crash over the next three trading would be accompanied by markedly lower US debt instrument interest rates as money exiting these assets will flow into the debt market.

NEW TARGET DATE FOR THE OCTOBER 2023 SECOND FRACTAL LOW: 22-25 AUGUST 2024; CONCLUDING THE OCTOBER 2023 13/32-33 WEEK LAMMERT 32-33 WEEK SECOND FRACTAL NONLINEAR COLLAPSE

The final October 2023 final second fractal collapse of 32-33 weeks concluding a 13/32-33 week first and second fractal series appears to be a 1 July 2024 6/13/12-13/9-10 day :: x/2-2.5xy/2.5xy/1.5xy collapse ending 22 – 25 August 2024. The 2024 4 phase decay fractal is unlike the 3 phase y/2.5y/2.5y 1929 decay fractal. Will the valuation for the global index ACWI be below the October 2023 low? Likely so. Will the nonlinear global collapse of equities, commodities, and cryptocurrencies over the next 8-10 trading days be sufficient for central bank emergency intervention? Likely so.

GLOBAL EQUITY BLACK MONDAY 12 AUGUST 2024

Lammert Saturation Asset-Debt Macroeconomics Global Equity Black Monday 12 August 2024. 12 August 2024 will complete an incipient 1 July 2024 6/13/13 day three-phase fractal decay series containing the 16 July 2024 peak valuation day :: y/2-2.5y/2-2.5y, analogous to 1929’s incipient 11/26/27 :: y/2.5y/2.5y three-phase decay fractal series also containing the peak valuation day. The 1982 to 2025 13/32 year :: x/2.5x first and second fractal series is a fractal replay of 1807 to 1932 36/90 year :: x/2.5x fractal series and an interpolated large scale fractal series within the larger 1807 36/90/90/54 year :: x/2.5x/2.5x/1.5x series ending in 2074. Is the asset debt macroeconomic system self ordering and deterministic? At the minimum this construct is an interesting, testable, and observable hypothesis.