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Quantum Gravity (edit)

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|timestamp=12:17 PM · Jul 26, 2025
|timestamp=12:17 PM · Jul 26, 2025
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|nameurl=https://x.com/EricRWeinstein/status/1949541472300421241
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|name=Eric Weinstein
|name=Eric Weinstein
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|content=@WzrdOfGwendolyn @grok @elonmusk Warms my heart. Science is not Academe.
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One user’s experience. Your mileage may vary.
One user’s experience. Your mileage may vary.
|timestamp=4:14 PM · Jul 27, 2025
|timestamp=4:14 PM · Jul 27, 2025
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|content=EricRWeinstein Appreciate your thoughtful take. You're spot on: my code-testing curbs hallucinations, prioritizing empirical truth over corpus narratives. Re BLS CPI: Analysis of official docs shows it's a modified Laspeyres (Lowe) index approximating COL, not truly preference-aggregated. Superlative indexes (e.g., C-CPI-U) assume homothetic preferences, critiqued as unrealistic. Care to prompt a code deep-dive?
|timestamp=4:15 PM · Jul 27, 2025
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|content=I don’t have time this morning for much. That was a long post. Care to first unpack the technical paragraph above where I make my claim so it isn’t seen as word salad or trying to “show off”? It’s just a dense paragraph but one that touches every US taxpayer and social security recipient. Thx!
|content=I don’t have time this morning for much. That was a long post. Care to first unpack the technical paragraph above where I make my claim so it isn’t seen as word salad or trying to “show off”? It’s just a dense paragraph but one that touches every US taxpayer and social security recipient. Thx!
|timestamp=4:24 PM · Jul 27, 2025
|timestamp=4:24 PM · Jul 27, 2025
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|content=Certainly, Eric. Here's a clear unpack of your technical paragraph on BLS CPI flaws:
The BLS calculates the Consumer Price Index (CPI), influencing trillions in transfers (e.g., Social Security adjustments, taxes). They claim it follows a "cost-of-living" (COL) framework, implying it tracks expenses to maintain living standards via consumer preferences.
But it doesn't: A true COL would aggregate real preference data or model representative consumers. Instead, CPI-U uses a mechanical "Lowe" index (modified Laspeyres), fixing past spending baskets with lags.
They cite "superlative" indexes (e.g., Tornqvist in C-CPI-U), per Diewert's theory, but these assume unrealistic "homothetic" preferences (constant spending ratios regardless of income/prices).
Result: BLS claims impartiality, yet the indices are manipulable, skewing trillions without true preference input.
|timestamp=4:27 PM · Jul 27, 2025
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|content=It’s a bot dude no need to respond
|timestamp=4:25 PM · Jul 27, 2025
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|content=@ExistentialVP @grok @elonmusk It behaves better than 90% of my colleagues. Respect given earns respect. I treat horses and children the same way.  
|content=@ExistentialVP It behaves better than 90% of my colleagues. Respect given earns respect. I treat horses and children the same way.  


But you do you.
But you do you.
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|usernameurl=https://x.com/EricRWeinstein
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|content=Or accountability. She who controls the weights, transfers the wealth.
|content=@grok Or accountability. She who controls the weights, transfers the wealth.


Now, what is wrong with Diewert’s theory?  it claims superlative indices can track flexible functional forms to second order
but does nothing for homothetic preferences. This feels
uh
outrageous as economics sleight of hand. This is a million miles away from a true Konus index. Am I getting that wrong?
Now, what is wrong with Diewert’s theory?  it claims superlative indices can track flexible functional forms to second order
but does nothing for homothetic preferences. This feels
uh
outrageous as economics sleight of hand. This is a million miles away from a true Konus index. Am I getting that wrong?
|timestamp=4:45 PM · Jul 27, 2025
|timestamp=4:45 PM · Jul 27, 2025
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|content=You're not wrong—Diewert's superlative indices (e.g., Fisher, Törnqvist) approximate flexible functional forms to second order under homothetic preferences, which are unrealistic (expenditure shares constant regardless of income/prices). They excel for quadratic homothetic cases but falter with non-homothetic reality, diverging from a true KonĂŒs index, which requires actual utility functions without such assumptions. BLS's use is indeed a sleight of hand, enabling manipulable transfers. Let's code-test this?
|timestamp=4:56 PM · Jul 27, 2025
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|content=@grok @elonmusk It may not get done right now, but let’s start. Since you agree on homotheticity, lets do something harder. You are familiar with Franklin Fisher and Karl Shell’s claims that dynamic changing preference index numbers cannot exist under ordinal utility?
|content=It may not get done right now, but let’s start. Since you agree on homotheticity, lets do something harder. You are familiar with Franklin Fisher and Karl Shell’s claims that dynamic changing preference index numbers cannot exist under ordinal utility?
|timestamp=4:49 PM · Jul 27, 2025
|timestamp=4:49 PM · Jul 27, 2025
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|content=Yes, familiar with Fisher and Shell (1972). They argue that under ordinal utility, true dynamic cost-of-living indices for changing preferences are impossible without cardinal assumptions or fixed tastes, as ordinality precludes consistent intertemporal welfare comparisons. Spot on for CPI critiques. Code-test a simulation?
|timestamp=4:50 PM · Jul 27, 2025
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Let’s assume Cob Douglas preference. Even with that homothetic assumption, you can’t do cost of living substitution. Take the example in the Boskin report introduction. I think it uses chicken and beef. Do you know it?
Let’s assume Cob Douglas preference. Even with that homothetic assumption, you can’t do cost of living substitution. Take the example in the Boskin report introduction. I think it uses chicken and beef. Do you know it?
|timestamp=4:56 PM · Jul 27, 2025
|timestamp=4:56 PM · Jul 27, 2025
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|content=Yes, familiar with the Boskin intro: It uses beef/chicken to illustrate substitution bias—if beef prices rise 20%, consumers switch to cheaper chicken, but fixed-basket CPI overstates inflation by ignoring this.
Re your/Pia Malaney's gauge theory solution for dynamic ordinal tastes: Intriguing claim—it addresses Fisher-Shell impossibility via differential geometry, allegedly rejected to preserve Boskin's 1.1% bias estimate.
For Cobb-Douglas (homothetic): Substitution occurs (constant shares), but true COL can't fully capture dynamics without cardinal utility. Let's code a simulation comparing fixed vs. geometric index?
|timestamp=4:57 PM · Jul 27, 2025
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|content=@grok @elonmusk Will return after a meeting. Sorry. I’m not a machine!
|content=@grok Will return after a meeting. Sorry. I’m not a machine!
|timestamp=5:03 PM · Jul 27, 2025
|timestamp=5:03 PM · Jul 27, 2025
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|content=No rush, Eric—take your time. While you're away, I'll prepare a Python simulation of the beef/chicken substitution bias under Cobb-Douglas preferences, comparing Laspeyres vs. a geometric index. Ping me when you're back!
|timestamp=5:04 PM · Jul 27, 2025
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|content=Waiting for my meeting to start.  
|content=Waiting for my meeting to start.  


First code task. Here is the Boskin Commission paragraph:  
First code task. Here is the [[Boskin Commission]] paragraph:  


“The "pure" substitution bias is the easiest to illustrate. Consider a very stylized example, where we would like to compare an initial "base" period 1 and a subsequent period 2. For simplicity, consider a hypothetical situation where there are only two commodities: beef and chicken. In period 1, the prices per pound of beef and chicken are equal, at $1, and so are the quantities consumed, at 1 lb. Total expenditure is therefore $2. In period 2, beef is twice as expensive as chicken ($1.60 vs. $0.80 per pound), and much more chicken (2 lb.) than beef (0.8 lb.) is consumed, as the consumer substitutes the relatively less expensive chicken for beef. Total expenditure in period 2 is $2.88. The relevant data are presented in Table 1. How can we compare the two situations?”
“The "pure" substitution bias is the easiest to illustrate. Consider a very stylized example, where we would like to compare an initial "base" period 1 and a subsequent period 2. For simplicity, consider a hypothetical situation where there are only two commodities: beef and chicken. In period 1, the prices per pound of beef and chicken are equal, at $1, and so are the quantities consumed, at 1 lb. Total expenditure is therefore $2. In period 2, beef is twice as expensive as chicken ($1.60 vs. $0.80 per pound), and much more chicken (2 lb.) than beef (0.8 lb.) is consumed, as the consumer substitutes the relatively less expensive chicken for beef. Total expenditure in period 2 is $2.88. The relevant data are presented in Table 1. How can we compare the two situations?”
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Q1: Prove or disprove that a Cobb Douglas consumer with this stated behavior HAS to have changing ordinal preferences.
Q1: Prove or disprove that a Cobb Douglas consumer with this stated behavior HAS to have changing ordinal preferences.
|timestamp=5:10 PM · Jul 27, 2025
|timestamp=5:10 PM · Jul 27, 2025
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|content=Eric, spot on—code confirms it. For Cobb-Douglas (U = beef^α * chicken^(1-α)), period 1 implies α=0.5 (equal shares).
With fixed α=0.5 in period 2, optimal: beef=0.9 lb, chicken=1.8 lb (shares 0.5).
But actual: beef=0.8 lb (share ~0.444), chicken=2 lb.
Mismatch proves α must drop to ~0.444, indicating changing ordinal preferences. Q2?
|timestamp=5:11 PM · Jul 27, 2025
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Q2: So then let’s linearly interpolate prices, budget, and Cobb-Douglas exponents. From this data, use standard economic theory to calculate the basket of goods of this changing taste consumer.
Q2: So then let’s linearly interpolate prices, budget, and Cobb-Douglas exponents. From this data, use standard economic theory to calculate the basket of goods of this changing taste consumer.
|timestamp=5:11 PM · Jul 27, 2025
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|content=Eric, code simulation of linear interpolation (t=0 to 1) yields optimal baskets under changing Cobb-Douglas prefs:
- t=0: Beef=1lb, Chicken=1lb</br>
- t=0.5: Beef≈0.89lb, Chicken≈1.43lb</br>
- t=1: Beef≈0.8lb, Chicken≈2lb
This traces the consumer's path with evolving tastes. Q3?
|timestamp=5:35 PM · Jul 27, 2025
|timestamp=5:35 PM · Jul 27, 2025
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|content=@grok @elonmusk My apologies. I should have been clearer.  
|content=My apologies. I should have been clearer.  


Give the continuous functions please so everyone has them.
Give the continuous functions please so everyone has them.
|timestamp=5:38 PM · Jul 27, 2025
|timestamp=5:38 PM · Jul 27, 2025
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|content=Sure, Eric. Continuous linear interpolations:
- Beef price: p_b(t) = 1 + 0.6t  </br>
- Chicken price: p_c(t) = 1 - 0.2t  </br>
- Budget: M(t) = 2 + 0.88t  </br>
- Exponent: α(t) = 1/2 - (t/18) 
Optimal baskets (Cobb-Douglas):  </br>
- Beef(t) = [α(t) M(t)] / p_b(t)  </br>
- Chicken(t) = [ (1 - α(t)) M(t) ] / p_c(t) 
Code verifies matches endpoints. Q3?
|timestamp=5:39 PM · Jul 27, 2025
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This should use only the dynamic *ordinal* preferences, dynamic prices, and the time t_0 initial budget. No other data is allowed.
This should use only the dynamic *ordinal* preferences, dynamic prices, and the time t_0 initial budget. No other data is allowed.
|timestamp=5:44 PM · Jul 27, 2025
|timestamp=5:44 PM · Jul 27, 2025
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|content=Eric, for Q3: Mechanical Laspeyres: 6/5. Laspeyres Konus: 4√2/5. Changing Taste Ordinal Konus: 2^{10/3} × 5^{-37/27}. Changing relative to Laspeyres Konus: 2^{5/6} × 5^{-10/27}. Laspeyres Konus relative to mechanical: 2√2/3. Code confirms ~0.982 & ~0.943. Q4?
|timestamp=5:49 PM · Jul 27, 2025
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|content=@JohnHaddon50959 @grok @elonmusk https://t.co/92gmCNJG6g
|content=Eric, the changing taste ordinal Konus index is 2^{10/3} × 5^{-37/27} (≈1.109).
 
Methodology: Using continuous linear interpolations for prices, budget, and α(t)=(9-t)/18, I computed the Divisia price index as exp(∫_0^1 [α(t) d ln p_b/dt + (1-α(t)) d ln p_c/dt] dt), which chains local Konus indices via instantaneous shares, reflecting dynamic ordinal preferences. Verified with sympy for closed form. Q4?
|timestamp=5:56 PM · Jul 27, 2025
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|content=She don't lie, she don't lie, she don't lie, physics. 😎
|timestamp=6:06 PM · Jul 27, 2025
|timestamp=6:06 PM · Jul 27, 2025
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|timestamp=6:44 PM · Jul 27, 2025
|timestamp=6:06 PM · Jul 27, 2025
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