Gordon Watson wrote:.NB: There is a typo in eqn (20). The first expression should read: E(AB)[1+ E(AC)] ≤ .......
FrediFizzx wrote:Took a look over there Gordon. Sorry, looks like a bunch of nonsense to me. Besides, we already have two different ways of blowing Gill's theory out of the water and has leaky sides that are blown out. Bell's theory was gone a long time ago.
.
Mikko wrote:Gordon Watson wrote:.NB: There is a typo in eqn (20). The first expression should read: E(AB)[1+ E(AC)] ≤ .......
The article at https://vixra.org/pdf/2109.0171v1.pdf has the same typo.
Gordon Watson wrote:.
Abstract: In a nutshell, this is Bell's theorem: No locally causal theory can produce the predictions of quantum mechanics. Against this, and bound by the axioms of locality, completeness, true realism, and free choice: we refute Bell's theorem and his related inequality. We also reveal his error. It follows that Einstein and locality prevail: the physical world is locally causal. We thus advance Einstein's quest to make quantum mechanics intelligible in a classical way.
I have a draft, titled as above, in discussion at https://www.academia.edu/s/9feada3a8d?, and available via the same link.
NB: There is a typo in eqn (20). The first expression should read: E(AB)[1+ E(AC)] ≤ .......
Thus far, the main Bell-supporters there appear to be Andrew Laidlaw, Richard Gill, Justo Pastor Lambare.**
I'd welcome advice, critical and other comments, etc, in this forum. (The discussion space at Academia.edu is mainly restricted to text; LaTex is not available.)
** I am about to release a new version soon, with replies to critics. I'll bring that here too.
Thanks; Gordon
gill1109 wrote:Gordon Watson wrote:.
Abstract: In a nutshell, this is Bell's theorem: No locally causal theory can produce the predictions of quantum mechanics. Against this, and bound by the axioms of locality, completeness, true realism, and free choice: we refute Bell's theorem and his related inequality. We also reveal his error. It follows that Einstein and locality prevail: the physical world is locally causal. We thus advance Einstein's quest to make quantum mechanics intelligible in a classical way.
I have a draft, titled as above, in discussion at https://www.academia.edu/s/9feada3a8d?, and available via the same link.
NB: There is a typo in eqn (20). The first expression should read: E(AB)[1+ E(AC)] ≤ .......
Thus far, the main Bell-supporters there appear to be Andrew Laidlaw, Richard Gill, Justo Pastor Lambare.**
I'd welcome advice, critical and other comments, etc, in this forum. (The discussion space at Academia.edu is mainly restricted to text; LaTex is not available.)
** I am about to release a new version soon, with replies to critics. I'll bring that here too.
Thanks; Gordon
Dear Gordon
As I said a few times over at Academia.edu, https://www.academia.edu/s/9feada3a8d, your paper does *not* show there is a locally causal theory that produces the predictions of quantum mechanics. You *assume* the predictions of quantum mechanics in formulas (5) and (6). You say that you are using Malus' law from high school physics but that is a law about intensities of light, thought of as a continuous variable. You have no theory of a local and causal nature which predicts (5) and (6).
It is however a relief that your paper is fairly short and transparent.
Your logic in section 4 (concerning Bell's inequality) is faulty. You say that you have your own inequality "WI" which has a different bound than Bell's. So what? It's true that 2 is smaller than 3. It is also true that 2 is smaller than 4. Neither of those true statements implies that the other is false.
I have proven (well: I think so, and the referees of the mathematical journals where I published these results agreed) mathematical theorems that give a bound on the probability that Bell's inequality could be violated (by chance) by a certain amount, by a local realistic physics. Someone filled in particular choices of number of trials, amount of violation, and found that my bound was larger than 1. He said this showed my theorem was wrong. No, it was not wrong. It's obviously true that that probability is not larger than 1, so it is therefore also true that it is not larger than, say, 1.2. The theorem did not lie. A correctly proven mathematical theorem is a tautology. But my theorem only became *interesting* when the number of trials was taken to be somewhat larger -- when the numerical bound on the probability in question got very, very small indeed.
Richard
gill1109 wrote:You *assume* the predictions of quantum mechanics in formulas (5) and (6). You say that you are using Malus' law from high school physics but that is a law about intensities of light, thought of as a continuous variable. You have no theory of a local and causal nature which predicts (5) and (6).
gill1109 wrote:Your logic in section 4 (concerning Bell's inequality) is faulty. You say that you have your own inequality "WI" which has a different bound than Bell's. So what? It's true that 2 is smaller than 3. It is also true that 2 is smaller than 4. Neither of those true statements implies that the other is false.
Gordon Watson wrote:gill1109 wrote:Dear Gordon
As I said a few times over at Academia.edu, https://www.academia.edu/s/9feada3a8d, your paper does *not* show there is a locally causal theory that produces the predictions of quantum mechanics. You *assume* the predictions of quantum mechanics in formulas (5) and (6). You say that you are using Malus' law from high school physics but that is a law about intensities of light, thought of as a continuous variable. You have no theory of a local and causal nature which predicts (5) and (6).
It is however a relief that your paper is fairly short and transparent.
Your logic in section 4 (concerning Bell's inequality) is faulty. You say that you have your own inequality "WI" which has a different bound than Bell's. So what? It's true that 2 is smaller than 3. It is also true that 2 is smaller than 4. Neither of those true statements implies that the other is false.
You *assume* the predictions of quantum mechanics in formulas (5) and (6). You say that you are using Malus' law from high school physics but that is a law about intensities of light, thought of as a continuous variable. You have no theory of a local and causal nature which predicts (5) and (6).
Not true. (i) We need only consider (5); (6) is a true consequence. (ii) I say that I used Malus' Law as one heuristic, among many; which, under my equivalence relations, held beyond my wildest expectation.* (iii) Focussing just on (5), as I've explained: the LHS is a consequence of the locally causal interactions in (3)-(4). (iv) Squared trig-functions came into play when I explained the correlations in Mermin (1988); the ones he found mysterious, to the point of "impossibility" and "guaranteed failure".gill1109 wrote:Your logic in section 4 (concerning Bell's inequality) is faulty. You say that you have your own inequality "WI" which has a different bound than Bell's. So what? It's true that 2 is smaller than 3. It is also true that 2 is smaller than 4. Neither of those true statements implies that the other is false.
WI, as I say, has the same LHS as BI (Bell's 1964 inequality). And I provide an example in (25), wherein BI has an upper bound of against WI's 0. So the point you miss is this: It is UNSURPRISING that experiments exceed Bell's upper-bound of , when the true upper bound is 0. Or, of equal importance: It is UNSURPRISING that QM exceeds Bell's upper-bound of . Thus, to the extent that BI provides false upper-bounds, to that extent BI is false. As it must be given the high-school math in (18)-(24)!
Richard, further, against your false claims about my locally causal theory: In (1) I provide a schematic that is, in many ways, better than an experiment. For it allows us to infer differently. That difference, as I see it (and I do not recall seeing it elsewhere), is that (1) includes the post-polariser particles , etc: the outputs of wholly local interactions. Please note: there is nothing in (5) that requires you to ignore (1)-(4)!
* especially when I later learned that Aspect (2002) had discussed the Malus connection.
gill1109 wrote:Gordon Watson wrote:gill1109 wrote:Dear Gordon
As I said a few times over at Academia.edu, https://www.academia.edu/s/9feada3a8d, your paper does *not* show there is a locally causal theory that produces the predictions of quantum mechanics. You *assume* the predictions of quantum mechanics in formulas (5) and (6). You say that you are using Malus' law from high school physics but that is a law about intensities of light, thought of as a continuous variable. You have no theory of a local and causal nature which predicts (5) and (6).
It is however a relief that your paper is fairly short and transparent.
Your logic in section 4 (concerning Bell's inequality) is faulty. You say that you have your own inequality "WI" which has a different bound than Bell's. So what? It's true that 2 is smaller than 3. It is also true that 2 is smaller than 4. Neither of those true statements implies that the other is false.
You *assume* the predictions of quantum mechanics in formulas (5) and (6). You say that you are using Malus' law from high school physics but that is a law about intensities of light, thought of as a continuous variable. You have no theory of a local and causal nature which predicts (5) and (6).
Not true. (i) We need only consider (5); (6) is a true consequence. (ii) I say that I used Malus' Law as one heuristic, among many; which, under my equivalence relations, held beyond my wildest expectation.* (iii) Focussing just on (5), as I've explained: the LHS is a consequence of the locally causal interactions in (3)-(4). (iv) Squared trig-functions came into play when I explained the correlations in Mermin (1988); the ones he found mysterious, to the point of "impossibility" and "guaranteed failure".gill1109 wrote:Your logic in section 4 (concerning Bell's inequality) is faulty. You say that you have your own inequality "WI" which has a different bound than Bell's. So what? It's true that 2 is smaller than 3. It is also true that 2 is smaller than 4. Neither of those true statements implies that the other is false.
WI, as I say, has the same LHS as BI (Bell's 1964 inequality). And I provide an example in (25), wherein BI has an upper bound of against WI's 0. So the point you miss is this: It is UNSURPRISING that experiments exceed Bell's upper-bound of , when the true upper bound is 0. Or, of equal importance: It is UNSURPRISING that QM exceeds Bell's upper-bound of . Thus, to the extent that BI provides false upper-bounds, to that extent BI is false. As it must be given the high-school math in (18)-(24)!
Richard, further, against your false claims about my locally causal theory: In (1) I provide a schematic that is, in many ways, better than an experiment. For it allows us to infer differently. That difference, as I see it (and I do not recall seeing it elsewhere), is that (1) includes the post-polariser particles , etc: the outputs of wholly local interactions. Please note: there is nothing in (5) that requires you to ignore (1)-(4)!
* especially when I later learned that Aspect (2002) had discussed the Malus connection.
Gordon, a heap of heuristics is not a mathematical proof. Just *saying* that something is locally realistic doesn't make it so. You use schoolboy math but you apparently do not acknowledge basic logic. You've seen some formulas before and you can quote them. I do hope that as an engineer, you don't design bridges in that way. I think you are confused by the meaning of words like "or" and "and".
I once had a student who came to me after a lecture and asked me about the "less than or equals" symbol. Did it mean: less than *or* equals, or less than *and* equals? He was not dumb. He did come from another culture (his family came from North Africa, Islamic; languages French and Arabic and Berber). I explained as well as I could. Later, he did well in the exams.
You wrote "There is nothing in (5) that requires you to ignore (1)-(4)". I don't ignore them. You are making claims which contradict well known mathematical results. The onus on you is to come up with a water-tight argument. But in fact, you have no argument at all. The whole paper just says: "it is so because I say so". At least, that's my present opinion. Maybe you have better luck communicating to someone else. As far as I can see you only get support from people like you who want Bell's theorem to be false. But they do not adopt your arguments. They could write their own paper citing your self-publications and submit their own work to a refereed journal. If anyone came up with a watertight disproof of Bell's theorem all the journals in the world would be fighting to have the honour of publishing it.
Gordon Watson wrote:gill1109 wrote:Gordon, a heap of heuristics is not a mathematical proof. Just *saying* that something is locally realistic doesn't make it so. You use schoolboy math but you apparently do not acknowledge basic logic. You've seen some formulas before and you can quote them. I do hope that as an engineer, you don't design bridges in that way. I think you are confused by the meaning of words like "or" and "and".
I once had a student who came to me after a lecture and asked me about the "less than or equals" symbol. Did it mean: less than *or* equals, or less than *and* equals? He was not dumb. He did come from another culture (his family came from North Africa, Islamic; languages French and Arabic and Berber). I explained as well as I could. Later, he did well in the exams.
You wrote "There is nothing in (5) that requires you to ignore (1)-(4)". I don't ignore them. You are making claims which contradict well known mathematical results. The onus on you is to come up with a water-tight argument. But in fact, you have no argument at all. The whole paper just says: "it is so because I say so". At least, that's my present opinion. Maybe you have better luck communicating to someone else. As far as I can see you only get support from people like you who want Bell's theorem to be false. But they do not adopt your arguments. They could write their own paper citing your self-publications and submit their own work to a refereed journal. If anyone came up with a watertight disproof of Bell's theorem all the journals in the world would be fighting to have the honour of publishing it.
Thanks Richard,
Since I'll be putting you forward as a Referee, I suggest we save everyone a lot of time and address the following here.
1. My article is intended to be watertight, so please show me the major claims that contradict well-known math facts. This will allow us to quickly cut to the chase.
2. You really need at least one from each section. §3: Bell's theorem refuted. §4: Bell's inequality refuted. §5: Bell's error identified and explained.
3. Please define local realistic in your terms.
4. To be clear. A heuristic enables one to discover or learn something for oneself; like proceeding to a solution by trial and error or by rules that are only loosely defined. In my case, they delivered a proof, consistent with locality and QM and experiment, that waits to be seriously challenged.
Thanks again; Gordon
gill1109 wrote:The problem seems to me that you do not have any conception of ordinary logical reasoning.
local wrote:gill1109 wrote:The problem seems to me that you do not have any conception of ordinary logical reasoning.
When mysterian arguments fail, insults must suffice.
gill1109 wrote:Gordon Watson wrote:gill1109 wrote:Dear Gordon
As I said a few times over at Academia.edu, https://www.academia.edu/s/9feada3a8d, your paper does *not* show there is a locally causal theory that produces the predictions of quantum mechanics. You *assume* the predictions of quantum mechanics in formulas (5) and (6). You say that you are using Malus' law from high school physics but that is a law about intensities of light, thought of as a continuous variable. You have no theory of a local and causal nature which predicts (5) and (6).
It is however a relief that your paper is fairly short and transparent.
Your logic in section 4 (concerning Bell's inequality) is faulty. You say that you have your own inequality "WI" which has a different bound than Bell's. So what? It's true that 2 is smaller than 3. It is also true that 2 is smaller than 4. Neither of those true statements implies that the other is false.
You *assume* the predictions of quantum mechanics in formulas (5) and (6). You say that you are using Malus' law from high school physics but that is a law about intensities of light, thought of as a continuous variable. You have no theory of a local and causal nature which predicts (5) and (6).
Not true. (i) We need only consider (5); (6) is a true consequence. (ii) I say that I used Malus' Law as one heuristic, among many; which, under my equivalence relations, held beyond my wildest expectation.* (iii) Focussing just on (5), as I've explained: the LHS is a consequence of the locally causal interactions in (3)-(4). (iv) Squared trig-functions came into play when I explained the correlations in Mermin (1988); the ones he found mysterious, to the point of "impossibility" and "guaranteed failure".gill1109 wrote:Your logic in section 4 (concerning Bell's inequality) is faulty. You say that you have your own inequality "WI" which has a different bound than Bell's. So what? It's true that 2 is smaller than 3. It is also true that 2 is smaller than 4. Neither of those true statements implies that the other is false.
WI, as I say, has the same LHS as BI (Bell's 1964 inequality). And I provide an example in (25), wherein BI has an upper bound of against WI's 0. So the point you miss is this: It is UNSURPRISING that experiments exceed Bell's upper-bound of , when the true upper bound is 0. Or, of equal importance: It is UNSURPRISING that QM exceeds Bell's upper-bound of . Thus, to the extent that BI provides false upper-bounds, to that extent BI is false. As it must be given the high-school math in (18)-(24)!
Richard, further, against your false claims about my locally causal theory: In (1) I provide a schematic that is, in many ways, better than an experiment. For it allows us to infer differently. That difference, as I see it (and I do not recall seeing it elsewhere), is that (1) includes the post-polariser particles , etc: the outputs of wholly local interactions. Please note: there is nothing in (5) that requires you to ignore (1)-(4)!
* especially when I later learned that Aspect (2002) had discussed the Malus connection.
Gordon, a heap of heuristics is not a mathematical proof. Just *saying* that something is locally realistic doesn't make it so. You use schoolboy math but you apparently do not acknowledge basic logic. You've seen some formulas before and you can quote them. I do hope that as an engineer, you don't design bridges in that way. I think you are confused by the meaning of words like "or" and "and".
I once had a student who came to me after a lecture and asked me about the "less than or equals" symbol. Did it mean: less than *or* equals, or less than *and* equals? He was not dumb. He did come from another culture (his family came from North Africa, Islamic; languages French and Arabic and Berber). I explained as well as I could. Later, he did well in the exams.
You wrote "There is nothing in (5) that requires you to ignore (1)-(4)". I don't ignore them. You are making claims which contradict well known mathematical results. The onus on you is to come up with a water-tight argument. But in fact, you have no argument at all. The whole paper just says: "it is so because I say so". At least, that's my present opinion. Maybe you have better luck communicating to someone else. As far as I can see you only get support from people like you who want Bell's theorem to be false. But they do not adopt your arguments. They could write their own paper citing your self-publications and submit their own work to a refereed journal. If anyone came up with a watertight disproof of Bell's theorem all the journals in the world would be fighting to have the honour of publishing it. [Emphasis added, GW.]
Gordon Watson wrote: Thanks for the gillibluster: extreme verbosity with much avoidance and next-to-zero meaningful content.
local wrote:Gordon Watson wrote: Thanks for the gillibluster: extreme verbosity with much avoidance and next-to-zero meaningful content.
Feigned erudition to cover for intellectual bullying.
Gordon, do you have a link to the latest version of the paper that does not require an account at academia.edu? Thank you.
gill1109 wrote:Gordon Watson wrote:gill1109 wrote:Gordon, a heap of heuristics is not a mathematical proof. Just *saying* that something is locally realistic doesn't make it so. You use schoolboy math but you apparently do not acknowledge basic logic. You've seen some formulas before and you can quote them. I do hope that as an engineer, you don't design bridges in that way. I think you are confused by the meaning of words like "or" and "and".
I once had a student who came to me after a lecture and asked me about the "less than or equals" symbol. Did it mean: less than *or* equals, or less than *and* equals? He was not dumb. He did come from another culture (his family came from North Africa, Islamic; languages French and Arabic and Berber). I explained as well as I could. Later, he did well in the exams.
You wrote "There is nothing in (5) that requires you to ignore (1)-(4)". I don't ignore them. You are making claims which contradict well known mathematical results. The onus on you is to come up with a water-tight argument. But in fact, you have no argument at all. The whole paper just says: "it is so because I say so". At least, that's my present opinion. Maybe you have better luck communicating to someone else. As far as I can see you only get support from people like you who want Bell's theorem to be false. But they do not adopt your arguments. They could write their own paper citing your self-publications and submit their own work to a refereed journal. If anyone came up with a watertight disproof of Bell's theorem all the journals in the world would be fighting to have the honour of publishing it.
Thanks Richard,
Since I'll be putting you forward as a Referee, I suggest we save everyone a lot of time and address the following here.
1. My article is intended to be watertight, so please show me the major claims that contradict well-known math facts. This will allow us to quickly cut to the chase.
2. You really need at least one from each section. §3: Bell's theorem refuted. §4: Bell's inequality refuted. §5: Bell's error identified and explained.
3. Please define local realistic in your terms.
4. To be clear. A heuristic enables one to discover or learn something for oneself; like proceeding to a solution by trial and error or by rules that are only loosely defined. In my case, they delivered a proof, consistent with locality and QM and experiment, that waits to be seriously challenged.
Thanks again; Gordon
Dear Gordon, please do put forward my name as a referee. I would be delighted to explain to my peers what I have failed to explain to you.
Sorry, but I just don't see any point in *my* trying yet again to explain anything to you. I have already done what you ask in points 1, 2, and 3. Regarding heuristics, point 4, the problem is that your heuristics did *not* deliver any proof. Sure, they gave you ideas. Everybody works that way.
Your "proof" has been seriously challenged, and not just by me, but by numerous others. The problem seems to me that you do not have any conception of ordinary logical reasoning.
If you want to prove to the world you are right, then learn computer programming, or hire a computer programmer, and show by a computer simulation that you are right. If you really are right, you'll also win the Nobel prize and undying fame; and all quantum physics textbooks will be rewritten.
I hope you'll get some *interesting* responses from others on this forum.
local wrote:There's a difference between pointing out a flaw or lacuna in an argument and telling someone they have no conception of logic. The latter is Gill's modus operandi and that is one of the reasons he is reviled here.
I'm with you on the GA stuff. I don't have the expertise to make a judgement on it. I also agree that Gordon could greatly further his cause with a simulation. Several people have offered to help him with that, but he does not produce adequate specifications, which you too have noted.
Justo wrote:local wrote:gill1109 wrote:The problem seems to me that you do not have any conception of ordinary logical reasoning.
When mysterian arguments fail, insults must suffice.
Hi local, in this case, I must agree with Richard. I tried to make sense of Gordon's arguments but they are not rigorous at all. It is good that somebody tells him so.
He does not understand that to refute the theorem a concrete counterexample/model is needed like the one Joy claims he has. Whether Joy geometric algebra models really accomplish that is another discussion. Personally do not have an opinion about those models because I do not know GA.
I suppose that a computational model can also serve as a counterexample, however, I think a concrete mathematical model would be less controversial.
Justo wrote: ... He does not understand that to refute the theorem a concrete counterexample/model is needed like the one Joy claims he has. Whether Joy geometric algebra models really accomplish that is another discussion. Personally do not have an opinion about those models because I do not know GA.
I suppose that a computational model can also serve as a counterexample, however, I think a concrete mathematical model would be less controversial.
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