Disconnect With Inequality Realism Assumption And Bells' Lambda

In summary, the conversation discusses the concept of hidden variable theories and their relation to determinism, locality, and realism in quantum mechanics. It is mentioned that there are different interpretations of these theories and their implications, with some arguing that they suggest local non-realism. However, the speaker does not believe that quantum mechanics provides evidence for any particular interpretation, and instead views them as open to interpretation.
  • #1
morrobay
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Bell, QM Ideas - Science 177 1972 :" Strictly, however. a hidden variable theory could be non-deterministic; the hidden variable could evolve randomly (possibly even discontinuously) so that their values at one instant do not specify their values at the next instant"
From the locality assumption, (EPR on non-locality: " No reasonable definition of reality could be expected to permit this")
With no assumption of determinism or of classical behavior with probabilities p(ab|xy) that satisfy the locality decomposition
S = (a0b0+(a0b1) +(a1b0) - (a1b1) ≤ 2
Bell on realism: "That there should be definite outcomes possible for counter factual settings"
But are there formulations for predetermined values equivalent to those for locality ?
So given Bells definition of lambda above it seems you could expect that S = 2√2 and the QM predicted correlations and inequality violation. And that they suggest local non realism explanation.
 
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  • #2
morrobay said:
Strictly, however. a hidden variable theory could be non-deterministic; the hidden variable could evolve randomly (possibly even discontinuously) so that their values at one instant do not specify their values at the next instant"

Without answering your question at the end, that is indeed correct.

Both Feynman's Sum Over Histories and Consistent Histories are hidden variable theories of that type.

But its not what is usually thought of as hidden variable.

I don't believe anything in QM suggests local non realism, local realism (in fact Bells Theorem strongly suggests otherwise - but I don't want to get into it because the answer depends on what you mean by Local Realism eg MWI can be viewed as local realistic - but not counterfactual - which is why the issue is subtle), non local realism, or any of the myriad of interpretations floating around - that's why they are called interpretations.

But regarding your specific question if what Bell wrote suggests whatever - I will let others get into that - its not my thing.

Thanks
Bill
 
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FAQ: Disconnect With Inequality Realism Assumption And Bells' Lambda

What is "Disconnect With Inequality Realism Assumption And Bells' Lambda"?

"Disconnect With Inequality Realism Assumption And Bells' Lambda" is a scientific concept that explores the disconnect between our assumptions about inequality and the reality of inequality. It also refers to the mathematical equation, Bells' Lambda, which is used to measure the degree of inequality in a given population.

Why is it important to understand this concept?

It is important to understand the concept of "Disconnect With Inequality Realism Assumption And Bells' Lambda" because it allows us to critically examine and challenge our assumptions about inequality. It also provides a quantitative measure of inequality, which can inform policies and interventions aimed at reducing inequality.

How is Bells' Lambda calculated?

Bells' Lambda is calculated using the Gini coefficient, which is a statistical measure of inequality. It measures the extent to which a distribution of income or wealth deviates from a perfectly equal distribution. Bells' Lambda is calculated by dividing the actual Gini coefficient by the maximum possible Gini coefficient for a given population.

What does a high Bells' Lambda value indicate?

A high Bells' Lambda value indicates a large degree of inequality in a given population. This means that the distribution of income or wealth is highly skewed towards a small percentage of the population, with the majority of the population having lower levels of income or wealth.

How can we use this concept to address inequality?

By understanding the concept of "Disconnect With Inequality Realism Assumption And Bells' Lambda" and using Bells' Lambda as a measure, we can identify areas where inequality is most prevalent and take targeted actions to address it. This can include implementing policies that promote equal opportunities and reducing barriers to social and economic mobility.

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