# What if spacetime were a kind of fluid?

**URL:** <https://boards.straightdope.com/t/what-if-spacetime-were-a-kind-of-fluid/686772>\
**Category:** Great Debates\
**Created:** [April 23, 2014, 2:59pm UTC](https://boards.straightdope.com/t/what-if-spacetime-were-a-kind-of-fluid/686772 "2014-04-23T14:59:01Z")\
**Posts on this page:** 20\
**Page:** 11

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**Author:** ![mpc755](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/mpc755/32/7307_2.png) [@mpc755](https://boards.straightdope.com/u/mpc755)\
**Post date:** [April 29, 2014, 3:13am UTC](https://boards.straightdope.com/t/what-if-spacetime-were-a-kind-of-fluid/686772/201 "2014-04-29T03:13:34Z")

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> [@Mosier](#):
>
> You did not explain how aether is everywhere, cannot be compressed, but can be displaced. You just copy/pasted a hundred things you posted earlier, none of which explains where displaced aether goes.
> 
> If aether is displaced, the displaced aether must go somewhere (or the term “displaced” just becomes literally meaningless). Except everywhere else already has aether in it, and you can’t compress it, so it can’t go anywhere.
> 
> Displaced aether must go somewhere.  
> Displaced aether cannot go anywhere.
> 
> Please reconcile the above two statements. Also note that I have used extremely simple terms to state my argument. I would appreciate the same in response.

You are in a bowling alley filled with a supersolid. You roll the bowling ball. The bowling ball displaces the supersolid. The supersolid displaces the bowling ball as it fills in where the bowling ball had been.

The supersolid goes where the bowling ball isn’t.

As you bowl the bowling ball the bowling ball and the supersolid still occupy the same volume. What changes is where the bowling ball exists within the supersolid and that the supersolid fills-in where the bowling ball had been.

The total volume consisting of the supersolid and the bowling ball does not change as you roll the bowling ball. All which changes is where the bowling ball and supersolid exist in relation to each other.

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**Author:** ![Trinopus](https://avatars.discourse-cdn.com/v4/letter/t/2bfe46/32.png) [@Trinopus](https://boards.straightdope.com/u/Trinopus)\
**Post date:** [April 29, 2014, 4:35am UTC](https://boards.straightdope.com/t/what-if-spacetime-were-a-kind-of-fluid/686772/202 "2014-04-29T04:35:35Z")

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> [@mpc755](#):
>
> . . . I said there are no such things as hidden variables. . . .

My question regards the nomenclature of physics, not the actual equation of physics.

Is the theory that atoms “know when to decay” a “hidden variables” theory?

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**Author:** ![Trinopus](https://avatars.discourse-cdn.com/v4/letter/t/2bfe46/32.png) [@Trinopus](https://boards.straightdope.com/u/Trinopus)\
**Post date:** [April 29, 2014, 4:36am UTC](https://boards.straightdope.com/t/what-if-spacetime-were-a-kind-of-fluid/686772/203 "2014-04-29T04:36:59Z")

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> [@mpc755](#):
>
> . . . The rate at which a muon decays is determined by the state of the aether in which it exists. . . .

What does the “state” of the aether mean? Does the aether come in varieties, or levels of excitation, or gradations in density, or some other variation in “state?”

Can you define your terms, please?

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**Author:** ![Trinopus](https://avatars.discourse-cdn.com/v4/letter/t/2bfe46/32.png) [@Trinopus](https://boards.straightdope.com/u/Trinopus)\
**Post date:** [April 29, 2014, 4:39am UTC](https://boards.straightdope.com/t/what-if-spacetime-were-a-kind-of-fluid/686772/204 "2014-04-29T04:39:03Z")

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> [@mpc755](#):
>
> You are in a bowling alley filled with a supersolid. You roll the bowling ball. The bowling ball displaces the supersolid. The supersolid displaces the bowling ball as it fills in where the bowling ball had been.
> 
> The supersolid goes where the bowling ball isn’t.
> 
> As you bowl the bowling ball the bowling ball and the supersolid still occupy the same volume. . . .

Your terms contradict each other. If the bowling ball displaces the supersolid, then the supersolid is no longer occupying the same volume as the bowling ball.

There are some very serious problems with this theory.

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**Author:** ![tomndebb](https://avatars.discourse-cdn.com/v4/letter/t/b9e5f3/32.png) [@tomndebb](https://boards.straightdope.com/u/tomndebb)\
**Post date:** [April 29, 2014, 5:01am UTC](https://boards.straightdope.com/t/what-if-spacetime-were-a-kind-of-fluid/686772/205 "2014-04-29T05:01:47Z")

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> [@mpc755](#):
>
> You are in a bowling alley filled with a supersolid. You roll the bowling ball. The bowling ball displaces the supersolid. The supersolid displaces the bowling ball as it fills in where the bowling ball had been.
> 
> The supersolid goes where the bowling ball isn’t.

In this supersolid, there is an atom in front of the ball. Where is that atom of supersolid “stuff” while the bowling ball moves through the place where the atom had been? The atom cannot go over the ball because the supersolid stuff that includes the atom cannot be compressed to allow the atom to move. It also cannot go under or around that ball for the same reason. In your world, where is the atom while it is being “displaced.”?

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**Author:** ![Strinka](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/strinka/32/512_2.png) [@Strinka](https://boards.straightdope.com/u/Strinka)\
**Post date:** [April 29, 2014, 5:22am UTC](https://boards.straightdope.com/t/what-if-spacetime-were-a-kind-of-fluid/686772/206 "2014-04-29T05:22:50Z")

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> [@Mosier](#):
>
> You did not explain how aether is everywhere, cannot be compressed, but can be displaced. …
> 
> If aether is displaced, the displaced aether must go somewhere …
> 
> Displaced aether must go somewhere.  
> Displaced aether cannot go anywhere.
> 
> …

> [@mpc755](#):
>
> You are in a bowling alley filled with a supersolid. You roll the bowling ball. The bowling ball displaces the supersolid. The supersolid displaces the bowling ball as it fills in where the bowling ball had been.
> 
> The supersolid goes where the bowling ball isn’t.
> 
> As you bowl the bowling ball the bowling ball and the supersolid still occupy the same volume. What changes is where the bowling ball exists within the supersolid and that the supersolid fills-in where the bowling ball had been.
> 
> The total volume consisting of the supersolid and the bowling ball does not change as you roll the bowling ball. All which changes is where the bowling ball and supersolid exist in relation to each other.

> [@Trinopus](#):
>
> Your terms contradict each other. If the bowling ball displaces the supersolid, then the supersolid is no longer occupying the same volume as the bowling ball.
> 
> There are some very serious problems with this theory.

This part of **mpc755** ’s theory isn’t necessarily incoherent, at least not by itself. When the bowling ball moves, the aether it displaces goes to the space the bowling ball leaves behind. The total volume of the bowling ball plus the aether doesn’t change.

However, this does come into conflict with other parts of his theory. If the aether is incompressible, and exists everywhere, then it can’t wave. It obviously can’t be a longitudinal wave, because that requires changes in density. It also can’t be transverse because that requires changes in density, or space that the aether doesn’t already occupy.

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**Author:** ![Half\_Man\_Half\_Wit](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/half_man_half_wit/32/21766_2.png) [@Half\_Man\_Half\_Wit](https://boards.straightdope.com/u/Half_Man_Half_Wit)\
**Post date:** [April 29, 2014, 5:26am UTC](https://boards.straightdope.com/t/what-if-spacetime-were-a-kind-of-fluid/686772/207 "2014-04-29T05:26:11Z")

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> [@Trinopus](#):
>
> Very brief highjack: some people have suggested that radioactive atoms have timing mechanisms of some sort, to tell them when to decay, and that they do not decay “randomly.” They propose some unknown deterministic means.
> 
> I have heard this idea called a “hidden variable” schema. Would that be a valid use of the term?

Not in the usual sense. A hidden variable typically denotes an observable quantity, such as position or momentum, whose exact value is perfectly determined at the microscopic level, but which can’t in general be perfectly known to us, because there exists a limit given by an uncertainty relation. I.e. it’s something whose value is definite, but which nature refuses to tell us.

If such things exist, we know they must exert nonlocal (faster-than-light) influences upon each other, due to Bell’s theorem.

> [@mpc755](#):
>
> It doesn’t matter what is known to us. We are discussing entanglement.

Which is why what is known to us matters: if there are quantities that are always determinate, but not in generally perfectly known to us, then they must exert nonlocal influences upon one another in order to reproduce the observed phenomenology of entanglement (i.e. Bell inequality violation).

> [@](#):
>
> Entanglement is the definition of an ‘exposed variable theory’. Meaning, the position and momentum of each of the downconverted pair is known to each other.

Then, the position and momentum of each of the pair must influence the others’ nonlocally.

> [@](#):
>
> There are no such things as hidden variables as to what is important when discussing entanglement. What matters when discussing entanglement is how the photons are entangled. The photons are not physically or superluminally entangled. They are entangled as they know each other’s state.

If you’re meaning to say here that the entangled photons are simply in an unknown definite state, then your theory can’t reproduce observed phenomena. From what you’re saying, it sounds like each photon is prepared with a definite state, such that the other photon’s state is determined by conservation laws—i.e. say you have each photon in a box, know the total momentum is _p_, and you open one box and observe the photon’s momentum is _p[sub]1[/sub]_, then you know the other photon’s momentum must be _p - p[sub]1[/sub]_—then this model doesn’t explain Bell inequality violations.

Bell inequalities are derived from making exactly this assumption—that is, if this assumption holds, Bell inequalities aren’t violated. But experimentally, they are violated—so this simple model for entanglement doesn’t work. You can build a working model, if you simply assume that, upon looking, the state of one photon is randomly determined, and the state of the other photon is instantaneously determined accordingly; then, you have a hidden variable theory with nonlocal influences.

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**Author:** ![Itself](https://avatars.discourse-cdn.com/v4/letter/i/d07c76/32.png) [@Itself](https://boards.straightdope.com/u/Itself)\
**Post date:** [April 29, 2014, 10:07am UTC](https://boards.straightdope.com/t/what-if-spacetime-were-a-kind-of-fluid/686772/208 "2014-04-29T10:07:45Z")

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Because the best way of explaining yourself is to continually parrot the same unfounded assertion without any variation, elaboration, or even definition:

> [@mpc755](#):
>
> If you can’t understand\*\* it is the mass which fills ‘empty’ space which waves in a double slit experiment\*\* you have been brainwashed by mainstream physics.

> [@mpc755](#):
>
> The nice thing about being a conceptually deficient mathematician is you can make up all sorts of nonsense like ‘many worlds’ all in order to not understand\*\* it is the mass which fills ‘empty’ space which waves in a double slit experiment.\*\*

> [@mpc755](#):
>
> The posts state in a double slit experiment the particle travels through a single slit and the wave through both. de Broglie said it is the hidden medium which waves.\*\* It is the mass which fills ‘empty’ space which waves.\*\*

Is the aether Beetlejuice? For that matter, could you please write me a sonnet on the subject of the Forth Bridge?

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**Author:** ![mpc755](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/mpc755/32/7307_2.png) [@mpc755](https://boards.straightdope.com/u/mpc755)\
**Post date:** [April 29, 2014, 12:44pm UTC](https://boards.straightdope.com/t/what-if-spacetime-were-a-kind-of-fluid/686772/209 "2014-04-29T12:44:07Z")

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> [@Trinopus](#):
>
> What does the “state” of the aether mean? Does the aether come in varieties, or levels of excitation, or gradations in density, or some other variation in “state?”
> 
> Can you define your terms, please?

The state of the aether at every place determined by its connections with the matter and the state of the aether at neighboring places is the state of displacement of the aether.

> **[Casimir effect](https://en.wikipedia.org/wiki/Casimir_effect#Vacuum_energy)**
>
> In quantum field theory, the Casimir effect (or Casimir force) is a physical force acting on the macroscopic boundaries of a confined space which arises from the quantum fluctuations of a field. The term Casimir pressure is sometimes used when it is described in units of force per unit area. It is named after the Dutch physicist Hendrik Casimir, who predicted the effect for electromagnetic systems in 1948.
> In the same year Casimir, together with Dirk Polder, described a similar effect experien...

_“a “field” in physics may be envisioned as if space were filled with interconnected vibrating balls and springs, and the strength of the field can be visualized as the displacement of a ball from its rest position”_

A “field” in physics is space filled with aether and the strength of the field is the displacement of the aether from its relativistic rest position.

The aether at the top of the mountain is less displaced than the aether at sea level. This allows the atomic clock to tick faster at the top of the mountain.

The faster the atomic clock moves with respect to the state of the aether in which it exists the greater the atomic clock displaces the aether the greater the force exerted by the displaced aether toward and throughout the atomic clock the slower the clock ticks.

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<div class="post-metadata">

**Author:** ![mpc755](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/mpc755/32/7307_2.png) [@mpc755](https://boards.straightdope.com/u/mpc755)\
**Post date:** [April 29, 2014, 12:45pm UTC](https://boards.straightdope.com/t/what-if-spacetime-were-a-kind-of-fluid/686772/210 "2014-04-29T12:45:14Z")

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> [@Trinopus](#):
>
> Your terms contradict each other. If the bowling ball displaces the supersolid, then the supersolid is no longer occupying the same volume as the bowling ball.
> 
> There are some very serious problems with this theory.

The supersolid fills-in where the bowling ball had been.

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<div class="post-metadata">

**Author:** ![mpc755](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/mpc755/32/7307_2.png) [@mpc755](https://boards.straightdope.com/u/mpc755)\
**Post date:** [April 29, 2014, 12:48pm UTC](https://boards.straightdope.com/t/what-if-spacetime-were-a-kind-of-fluid/686772/211 "2014-04-29T12:48:12Z")

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> [@tomndebb](#):
>
> In this supersolid, there is an atom in front of the ball. Where is that atom of supersolid “stuff” while the bowling ball moves through the place where the atom had been? The atom cannot go over the ball because the supersolid stuff that includes the atom cannot be compressed to allow the atom to move. It also cannot go under or around that ball for the same reason. In your world, where is the atom while it is being “displaced.”?

The supersolid stuff is filling in where the bowling ball had been. This allows the supersolid in front of the bowling ball to be displaced by the bowling ball.

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<div class="post-metadata">

**Author:** ![mpc755](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/mpc755/32/7307_2.png) [@mpc755](https://boards.straightdope.com/u/mpc755)\
**Post date:** [April 29, 2014, 12:50pm UTC](https://boards.straightdope.com/t/what-if-spacetime-were-a-kind-of-fluid/686772/212 "2014-04-29T12:50:49Z")

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> [@Strinka](#):
>
> This part of **mpc755** ’s theory isn’t necessarily incoherent, at least not by itself. When the bowling ball moves, the aether it displaces goes to the space the bowling ball leaves behind. The total volume of the bowling ball plus the aether doesn’t change.
> 
> However, this does come into conflict with other parts of his theory. If the aether is incompressible, and exists everywhere, then it can’t wave. It obviously can’t be a longitudinal wave, because that requires changes in density. It also can’t be transverse because that requires changes in density, or space that the aether doesn’t already occupy.

Dark matter is now known to fill ‘empty’ space. When galaxy clusters collide they create a ripple in the mass which fills ‘empty’ space. This ripple is a gravitational wave. This ripple is an aether displacement wave.

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<div class="post-metadata">

**Author:** ![mpc755](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/mpc755/32/7307_2.png) [@mpc755](https://boards.straightdope.com/u/mpc755)\
**Post date:** [April 29, 2014, 12:54pm UTC](https://boards.straightdope.com/t/what-if-spacetime-were-a-kind-of-fluid/686772/213 "2014-04-29T12:54:05Z")

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> [@Half\_Man\_Half\_Wit](#):
>
> If such things exist, we know they must exert nonlocal (faster-than-light) influences upon each other, due to Bell’s theorem.

You think that due to your inability to understand entanglement is an exposed variable theory. Each of the photons can determine the position and momentum of their pair based upon their own due to conservation of momentum.

The photon pair are not physically or superluminally connected. They are entangled as they can determine each others state.

Bell’s inequality applies to hidden variable theories. Entanglement is not a hidden variable theory. Entanglement is an exposed variable theory. Therefore, Bell’s inequality does not apply to entangled pairs.

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<div class="post-metadata">

**Author:** ![mpc755](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/mpc755/32/7307_2.png) [@mpc755](https://boards.straightdope.com/u/mpc755)\
**Post date:** [April 29, 2014, 1:09pm UTC](https://boards.straightdope.com/t/what-if-spacetime-were-a-kind-of-fluid/686772/214 "2014-04-29T13:09:59Z")

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Even though the bowling ball is considered to be incompressible, it condenses slightly as it transitions from being at rest in the supersolid to moving through the supersolid. This condensation allows the supersolid to fill-in where the bowling ball had been. This allows for the supersolid in front of the direction the bowling ball is moving to be displaced.

The aether changes state at _c_ and something similar is occurring as objects move through and displace the aether.

This condensation of objects due to their motion through the aether causes a pressure differential in the aether allowing it to wave.

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<div class="post-metadata">

**Author:** ![mpc755](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/mpc755/32/7307_2.png) [@mpc755](https://boards.straightdope.com/u/mpc755)\
**Post date:** [April 29, 2014, 3:38pm UTC](https://boards.straightdope.com/t/what-if-spacetime-were-a-kind-of-fluid/686772/215 "2014-04-29T15:38:24Z")

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> [@mpc755](#):
>
> Even though the bowling ball is considered to be incompressible, it condenses slightly as it transitions from being at rest in the supersolid to moving through the supersolid. This condensation allows the supersolid to fill-in where the bowling ball had been. This allows for the supersolid in front of the direction the bowling ball is moving to be displaced.
> 
> The aether changes state at _c_ and something similar is occurring as objects move through and displace the aether.
> 
> This condensation of objects due to their motion through the aether causes a pressure differential in the aether allowing it to wave.

This condensation of the object occurs during acceleration of the object through the aether. The aether pushing back is referred to as the ‘back reaction’ in the following article. This is the aether ‘displacing back’.

‘An Extended Dynamical Equation of Motion, Phase Dependency and Inertial Backreaction’

> **[An Extended Dynamical Equation of Motion, Phase Dependency and Inertial...](http://arxiv.org/abs/1208.3458)**
>
> Newton's second law has limited scope of application when transient phenomena are present. We consider a modification of Newton's second law in order to take into account a sudden change (surge) of angular momentum or linear momentum. We hypothesize...

“We hypothesize that space itself resists such surges according to a kind of induction law (related to inertia); additionally, we provide further evidence of the “fluidic” nature of space itself. This “back-reaction” is quantified by the tendency of angular momentum flux threading across a surface.”

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**Author:** ![Half\_Man\_Half\_Wit](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/half_man_half_wit/32/21766_2.png) [@Half\_Man\_Half\_Wit](https://boards.straightdope.com/u/Half_Man_Half_Wit)\
**Post date:** [April 29, 2014, 4:59pm UTC](https://boards.straightdope.com/t/what-if-spacetime-were-a-kind-of-fluid/686772/216 "2014-04-29T16:59:26Z")

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> [@mpc755](#):
>
> You think that due to your inability to understand entanglement is an exposed variable theory.

Define ‘exposed variable theory’. (Also, of course, saying things like ‘entanglement is a […] theory’ doesn’t help your case; entanglement is a characteristic of certain states in quantum theory, not in any sense a ‘theory’ unto itself.)

> [@](#):
>
> Each of the photons can determine the position and momentum of their pair based upon their own due to conservation of momentum.

Then, they couldn’t violate Bell inequalities; but they do, so that assertion is false.

> [@](#):
>
> Bell’s inequality applies to hidden variable theories. Entanglement is not a hidden variable theory. Entanglement is an exposed variable theory. Therefore, Bell’s inequality does not apply to entangled pairs.

This doesn’t even make syntactic sense. Bell’s inequality applies to all theories in which the underlying state is always precisely defined, and there are no nonlocal influences. This is a strict logical inference: if both photons have a precisely defined position/momentum at all times, and they are not able to influence one another instantaneously, then they cannot violate a Bell inequality. Quantum mechanics, however, observationally violates Bell inequalities. Thus, photon pairs either cannot simultaneously have a well defined position and momentum (or any other suitable complementary observables), or they must be able to influence one another instantaneously.

If, in your theory, photon pairs always have a definite state, as they do in de Broglie’s double solution theory, then there must be nonlocal influences, again as in de Broglie’s theory.

I mean, the demonstration for this is very simple: consider two particles, A and B, and two observable properties of these particles—e.g. position and momentum—which can (for simplicity) only assume two different values (e.g. if the particle is detected in the left box, we mark a -1, if it’s in the right one, we mark a +1; if the momentum is oriented leftwards, we mark a -1, if it’s rightwards, we mark a +1—or we simply use spin measurements: spin is always found to be either +1 or -1, i.e. aligned with or aligned against the direction one measures).

So we have four observables: a[sub]1[/sub], a[sub]2[/sub], b[sub]1[/sub], and b[sub]2[/sub], where a[sub]i[/sub] refer to measurements carried out on particle A, and b[sub]i[/sub] refer to measurements on particle B, each of which can be either +1 or -1. Furthermore, because of the conservation of angular momentum (if we’re taking spin observables; otherwise, linear momentum), whenever we find particle A to have spin +1 along a particular direction, particle B will have spin -1 slong a particular direction—but that actually doesn’t strictly matter for now.

So, let’s make our measurements, that is, find out what value our four observables have. Then, consider the following quantity:  
X = a[sub]1[/sub](b[sub]1[/sub] - b[sub]2[/sub]) + a[sub]2[/sub](b[sub]1[/sub] + b[sub]2[/sub])

It is not hard to see that if a[sub]1[/sub], a[sub]2[/sub], b[sub]1[/sub], and b[sub]2[/sub] have fixed values, then X can at most be two; it suffices to check these four cases:  
[ul]  
[li]b[sub]1[/sub] = b[sub]2[/sub] = +1: the first term vanishes, and the second one is equal to 2 if a[sub]2[/sub] = +1[/li][li]b[sub]1[/sub] = +1, b[sub]2[/sub] = -1: the second term vanishes, and the first one is equal to 2 if a[sub]1[/sub] = +1[/li][li]b[sub]1[/sub] = -1, b[sub]2[/sub] = +1: the second term vanishes, and the first one is equal to 2 if a[sub]1[/sub] = -1[/li][li]b[sub]1[/sub] = b[sub]2[/sub] = -1: the first term vanishes, and the second one is equal to 2 if a[sub]2[/sub] = -1[/li][/ul]

Slightly rearranged, we get the following:  
a[sub]1[/sub]b[sub]1[/sub] + a[sub]2[/sub]b[sub]1[/sub] + a[sub]2[/sub]b[sub]2[/sub] - a[sub]1[/sub]b[sub]2[/sub] ≤ 2

This is the crucial bit: this inequality must ineluctably hold, if our observables have fixed values that cannot influence one another upon measurement; and it follows from nothing else but that. Therefore, if you say:

> [@](#):
>
> Each of the photons can determine the position and momentum of their pair based upon their own due to conservation of momentum.

And:

> [@](#):
>
> The photon pair are not physically or superluminally connected.

What you are saying is that the above inequality must always hold; the statements are logically equivalent.

But if the above inequality always holds, then it also holds in the average; that is, if we denote by \<a[sub]1[/sub]b[sub]1[/sub]\> the result of the procedure ‘measure a[sub]1[/sub] on particle A and b[sub]1[/sub] on particle B many times, and average the result’, then the inequality  
\<a[sub]1[/sub]b[sub]1[/sub]\> + \<a[sub]2[/sub]b[sub]1[/sub]\> + \<a[sub]2[/sub]b[sub]2[/sub]\> - \<a[sub]1[/sub]b[sub]2[/sub]\> ≤ 2  
must likewise always hold.

But in quantum mechanics, it doesn’t! This is an experimental finding: for certain states of the two photons, the maximum observed value is 2√2 \> 2. That means directly that

> [@](#):
>
> Each of the photons can determine the position and momentum of their pair based upon their own due to conservation of momentum.

and

> [@](#):
>
> The photon pair are not physically or superluminally connected.

cannot both be true. If they were, we would never observe a value greater than 2. But we do.

If you disagree, please, with yes or no, answer the following questions:

[ol]  
[li]In your theory, does each particle always have a definite position x = (some value) and a definite momentum p = (some value)?[/li][li]In your theory, does the position and/or momentum of one particle depend instantaneously on that of any other?[/li][li]Do you believe that in de Broglie’s double solution theory, every particle always has a definite position/momentum?[/li][li]Do you believe that in de Broglie’s souble solution theory, the position/momentum of a particle can be instantaneously influenced (via the nonlocal quantum potential) by those of other particles?[/li][/ol]

Even if you don’t see fit to answer any other part of this post, please, in the interest of honest debate, at least answer either yes or no (or perhaps, don’t know) to each of those questions.

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**Author:** ![mpc755](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/mpc755/32/7307_2.png) [@mpc755](https://boards.straightdope.com/u/mpc755)\
**Post date:** [April 29, 2014, 5:34pm UTC](https://boards.straightdope.com/t/what-if-spacetime-were-a-kind-of-fluid/686772/217 "2014-04-29T17:34:06Z")

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> [@Half\_Man\_Half\_Wit](#):
>
> Define ‘exposed variable theory’. (Also, of course, saying things like ‘entanglement is a […] theory’ doesn’t help your case; entanglement is a characteristic of certain states in quantum theory, not in any sense a ‘theory’ unto itself.)

An ‘exposed variable theory’ is where the position and momentum of one of the pair of downconverted photons can be determined by the other; the state of each of the pair is known to the other.

> [@](#):
>
> This doesn’t even make syntactic sense. Bell’s inequality applies to all theories in which the underlying state is always precisely defined, and there are no nonlocal influences.

No, it doesn’t. Bell’s inequality applies to hidden variable theories.

> **[Bell's theorem](https://en.wikipedia.org/wiki/Bell's_theorem#Overview)**
>
> Bell's theorem is a term encompassing a number of closely related results in physics, all of which determine that quantum mechanics is incompatible with local hidden-variable theories, given some basic assumptions about the nature of measurement. The first such result was introduced by John Stewart Bell in 1964, building upon the Einstein–Podolsky–Rosen paradox, which had called attention to the phenomenon of quantum entanglement. In the context of Bell's theorem, "local" refers to the principle ...

_" For a hidden variable theory, if Bell’s conditions are correct, the results that agree with quantum mechanical theory appear to indicate superluminal effects, in contradiction to the principle of locality."_

Entanglement is not a hidden variable theory. Entanglement is an exposed variable theory as the state of each photon is knowable to its pair.

There is no reason to respond to the remainder of your post as you are in denial of understanding Bell’s Inequality applies to hidden variable theories which entanglement is not.

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**Author:** ![Czarcasm](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/czarcasm/32/4050_2.png) [@Czarcasm](https://boards.straightdope.com/u/Czarcasm)\
**Post date:** [April 29, 2014, 5:53pm UTC](https://boards.straightdope.com/t/what-if-spacetime-were-a-kind-of-fluid/686772/218 "2014-04-29T17:53:32Z")

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> [@mpc755](#):
>
> There is no reason to respond to the remainder of your post as you are in denial of understanding Bell’s Inequality applies to hidden variable theories which entanglement is not.

You’ll only “debate” those who _already_ agree with your unfounded and/or undefined premises?

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**Author:** ![mpc755](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/mpc755/32/7307_2.png) [@mpc755](https://boards.straightdope.com/u/mpc755)\
**Post date:** [April 29, 2014, 5:58pm UTC](https://boards.straightdope.com/t/what-if-spacetime-were-a-kind-of-fluid/686772/219 "2014-04-29T17:58:07Z")

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> [@Czarcasm](#):
>
> You’ll only “debate” those who _already_ agree with your unfounded and/or undefined premises?

The rest of the post I did not respond to had to do with hidden variables and using the mathematics associated with hidden variables to make incorrect assumptions about de Broglie’s wave mechanics and double solution theory.

There are no such things as hidden variables, not in terms of having anything to do with being able to place constrictions on classical physics. You can’t place constrictions having to do with hidden variables on classical physics as entanglement has to do with exposed variable theories.

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**Author:** ![Half\_Man\_Half\_Wit](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/half_man_half_wit/32/21766_2.png) [@Half\_Man\_Half\_Wit](https://boards.straightdope.com/u/Half_Man_Half_Wit)\
**Post date:** [April 29, 2014, 7:50pm UTC](https://boards.straightdope.com/t/what-if-spacetime-were-a-kind-of-fluid/686772/220 "2014-04-29T19:50:18Z")

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> [@mpc755](#):
>
> An ‘exposed variable theory’ is where the position and momentum of one of the pair of downconverted photons can be determined by the other; the state of each of the pair is known to the other.

For that, of course, the state must be definite at all times, no? But since the theory must obey an uncertainty principle, that value can’t always be known, right?

> [@](#):
>
> No, it doesn’t. Bell’s inequality applies to hidden variable theories.

‘Hidden variable theories’ and ‘theories in which the underlying state is always precisely defined’ are the same thing. A precisely defined—or, in technical language, ‘dispersion free’—state is one in which all observables have a definite value; these values are the hidden variables of the theory.

> [@](#):
>
> There is no reason to respond to the remainder of your post as you are in denial of understanding Bell’s Inequality applies to hidden variable theories which entanglement is not.

I asked some simple clarifying questions regarding your theory. It shows bad faith on your side to deny my polite request.

And regarding Bell inequalities, I explicitly _showed you_ what kind of theories they apply to; entanglement on its own is neither a hidden variable theory nor a theory without hidden variables (well, and at any rate, it’s not a ‘theory’), but the observed phenomenology of entangled states can be reproduced either by a hidden variable theory with nonlocal influences, or by a non-realist theory, i.e. one without hidden variables. In both cases, you would observe a violation of Bell inequalities. ‘Entanglement is not a hidden variable theory’ is meaningless as such.

In any case, I would still be very much interested in your answers to these questions:  
[ol]  
[li]In your theory, does each particle always have a definite position x = (some value) and a definite momentum p = (some value)?[/li][li]In your theory, does the position and/or momentum of one particle depend instantaneously on that of any other?[/li][li]Do you believe that in de Broglie’s double solution theory, every particle always has a definite position/momentum?[/li][li]Do you believe that in de Broglie’s souble solution theory, the position/momentum of a particle can be instantaneously influenced (via the nonlocal quantum potential) by those of other particles?[/li][/ol]

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