Sci.Physics.Foundations

Joy Christian wrote: ↑Thu Oct 05, 2023 2:25 pm Yes, that is correct. The paper is under review at a prominent journal. But its preprint is available on arXiv: https://arxiv.org/abs/2204.10288
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I'm having trouble with your eq. (56). You have an average of the product of two discontinuous functions on the first line and two continuous functions on the second line. That has to be an impossible equality. I suspect Bell tripped you up again.
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FrediFizzx wrote: ↑Thu Oct 19, 2023 1:50 pm

Joy Christian wrote: ↑Thu Oct 05, 2023 2:25 pm Yes, that is correct. The paper is under review at a prominent journal. But its preprint is available on arXiv: https://arxiv.org/abs/2204.10288
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I'm having trouble with your eq. (56). You have an average of the product of two discontinuous functions on the first line and two continuous functions on the second line. That has to be an impossible equality. I suspect Bell tripped you up again.

My eq. (56) is correct. The sign functions are continuous functions of the continuous variable s^i, which is integrated over to produce the second line of eq. (56). Only the values, +/-1, taken by the sign functions for a given occurrence of the continuous variable s^i are discrete. That does not make the sign functions themselves "discontinuous."

There are no mathematical mistakes in any of Bell's papers. His only mistake is a deeply conceptual mistake: https://arxiv.org/abs/2302.09519
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Joy Christian wrote: ↑Thu Oct 19, 2023 9:14 pm

FrediFizzx wrote: ↑Thu Oct 19, 2023 1:50 pm

Joy Christian wrote: ↑Thu Oct 05, 2023 2:25 pm Yes, that is correct. The paper is under review at a prominent journal. But its preprint is available on arXiv: https://arxiv.org/abs/2204.10288
.

I'm having trouble with your eq. (56). You have an average of the product of two discontinuous functions on the first line and two continuous functions on the second line. That has to be an impossible equality. I suspect Bell tripped you up again.

My eq. (56) is correct. The sign functions are continuous functions of the continuous variable s^i, which is integrated over to produce the second line of eq. (56). Only the values, +/-1, taken by the sign functions for a given occurrence of the continuous variable s^i are discrete. That does not make the sign functions themselves "discontinuous."

There are no mathematical mistakes in any of Bell's papers. His only mistake is a deeply conceptual mistake: https://arxiv.org/abs/2302.09519

Yeah, the infinity in the integral converts the discontinuous functions to continuous. I missed that; always thinking of finite iterations.

More later.
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