Double-Slit Experiment

**Double-Slit Experiment:**

In essence, even a single photon or electron passing through a double-slit will display interference, collapsing upon any interacting measurement upon the initiating wave particle.

**Quantum Entanglement:**

In essence, any two (and possibly more) wave-particle ST units born of and thus assigned the same, equal but opposite quantum number state, i.e. spin angular momentum, will maintain and function as a single wave-particle system having a single quantum number state regardless of distance or time separation, in the absence of external negating influences. Transference is possible.

If **c**, the speed of light, is fundamentally buit into the formation of ST itself — moving ƴ distance with each pulse-propagating ⱱ frequency — as described in **LightspeedST — ** and as combined with **MathspeedST**, i.e. through the **BIM** informing that same ST pulse-propagating unit — all potential ST information, as to density and disposition of space per time, is inherently known!

The **BIM** itself is defined as a Universal Relationship. Its numerical value of the quantity of parts (the value in each grid cell), in relation to its whole (the square values of the PD — that, by the way, directly inform the parts) is instantly and ubiquitously known for every value throughout **BIM** as extended to infinity.

There is no propagation of information faster than ** c** because all its information is simultaneously known. We thus have a basis for

The Quantum Entanglement example most referenced is that of spin, a vector momentum parameter.

Two entangled particles (e.i., two photons or an electron-positron pair) are simultaneously born, each existing with both possible equal but opposite spin states.

Upon any distance (or time) separation, determining the spin quantum state of one particle — collapsing its wave potential of both into that of one polemic — immediately determines the other as equal but opposite.

Equal and opposite what?

The spin quantum state is a vector whose magnitude and expression is dependent on orientation (direction).

So, for whatever context that vector exists within, a polemic is established, i.e., +/-, ↑/↓, yes/no, that inherently establishes a positive and negative state (Dirac Equation) — e.i., matter/anti-matter, +charge/-charge, spin+/spin-.

The Quantum Entanglement State (QES) is just such a context — a container, if you will — holding the full potential of either/or vector states within its potential wave form.

Measurement (Heisenberg Uncertainty Principle) —that is interacting with such potential state — necessarily collapses the potential wave-state into a definitive, particulate-like state — call it +/-, ↑/↓, yes/no, or Even/Odd.

In effect, one has induced the vector state. In doing so, the other entangled member has its vector state induced to that equal, but opposite polemic value to its partner.

Now, let the QES=**BIM**. Let collapsing the wave-potential (the entire **BIM**) = √**BIM**. Since **BIM** is built on squaring the 1,2,3… Axis numbers to give the PD — and all the Inner Grid cell values as its children — taking the √**BIM** is akin to collapsing **BIM** back to the equal and symmetrical opposite Axial numbers along the horizontal and vertical Axises.

Alternatively, the **BIM** may indeed project into the imaginary number space, i, giving the equal but opposite value a more hidden meaning.

Yet another alternative — and within the context of the current mathematical space the **BIM** occupies — one may induce the ubiquitous and infinity expanding Pythagorean Triples to provide the necessary polemical expression of a vector from the multi-potential of its wave-form. In this case — and exactly in tune with the **BIM** layout — there is a 90°-right angle relationship between the sides. In the **BIM** it is within a square, within the PTs it is within a rectangle (formed from the two orientations of the triangle). Both have a symmetry involved. The **BIM** has an absolute, bilateral mirror-reflection symmetry. The latter an algebraic symmetry in that various whole integer combinations of **a ^{2}** +

In fact, there are, as we mentioned in the Intro (* TPISC IV: Details*), 4 geometric manifestations of each algebraically described PT. Two for each side of the bilaterally symmetric

The **Quantum Entanglement Conjecture.** Every PT has 4 potential presentations: each has a mirror symmetry, and because **BIM** has itself reflective, mirror bilateral symmetry, there are two more.

The Quantum Entanglement Conjecture:Every PT has 4 potential presentations: each has a mirror symmetry, and because

BIMis internally itself reflective, mirror bilateral symmetry, there are two more.For simplicity, the

TPISCpainting image (above figure) has been overlaid with three sets of PTs — each having 4 potential presentations. Exactly the same is true for the strictly Primitive PTs within theToPPT.As ST formation is informed most certainly by the

ISL(BIM), the PTs, and most especially the Primitive PTs within theToPPT, are viable candidates for laying down a bit of slightly asymmetrical bilateral symmetry framework embedded within the perfect rotational and bilateral symmetry of the perfect squares and circles generated by theBIM.While the

BIMitself is composed of alternating ODD and EVEN whole integer numbers, the PTs, especially the PPTs, pick these ODD and EVEN numbers out as part of their natural structure.Every PPT has one short side made of an ODD number and the other is always the opposite — an EVEN number.If one pictures the 4 potential presentations of the PT as existing as the wave-potential state of a forming particle, the naturally built-in polemics of these ubiquitous triangles comes into play: selecting to "measure" any one parameter as say, the spin ½ momentum vector, could collapse the wave function such that the other, opposite side of the polemic — which is always known as part of the Entangled Quantum State — could only express that opposite value.

It could be something as simple as solving the Pythagorean Theorem. If you measure (solve) for one short side — an let's say it is an EVEN whole integer number — you instantaneously know the other side is ODD. You also can know its value if you know the hypotenuse.

If you measure (solve) for one short side — an let's say it is an ODD whole integer number — you instantaneously know the other side is EVEN. You also can know its value if you know the hypotenuse.

The geometry of ST formation generates descriptive parameters referred to as quantum numbers or their quantum number state — unique identifiers for each and every subatomic particle. These wave-particle ST units exhibit unusual and non-intuitive behaviors that reveal a connection to each other below the physical reality we observe. TheConjectureis that that underlying connection is theBIMandBIMtreegeometry that informs the creation and disposition of ALL ST — including their quantum number state identifiers.

Back to theDouble-Slit Experiment Conjecture:In the simplest terms, the ST formation of the wave-particle pulse-propagates into and out of existence according to its energy.

Each pulse expands form its own singularity outward via the

BIM.The ST-

BIMexpands outward in all directions as a sphere, despite its forward motion as a vector. Thus it travels through both slits and interferes with itself on the other side.It is the

BIMgeometry information that is traveling through both slits, i.e. it doesn’t actually travel, rather it is known.If you block one of the slits or otherwise collapse the geometry wave by measuring or interacting with it, no interference occurs.

How does it work?

There are several possibilities.

It may be as simple as positive interference patterns may appear when the same Square/Circle WIN values of the

BIMresonate and negative when they do not — giving the classical light-dark-light-dark pattern.Or, it may be the same resonance interference positive/negative superpositions for the PTs. As ST expands, a positive interference pattern would result when two (or more) 3-4-5 PPTs harmoniously arrive at the same ST location on the screen. The same for the 5-12-13, 8-15-17, etc. In either case, if you block one slit or collapse the expanding

BIMgeometry before entering the slit, interference will also collapse.A third, and

includes the interaction with the slit material itself. Remember, ALL ST pulse-propagates into and out of existence. All matter and all energy, including the material that the slits are made of, pulse. When only a single slit is open, theperhaps more relevant possibilityBIMgeometry of the incoming wave-particle interacting with the slit ST does NOT generate an interference pattern.However, when two slits are open, the

BIM-ST geometry of the slit material favorably interacts with theBIM-ST geometry of the wave-particle to generate interference!One cannot ignore the contribution of the slit

BIM-ST geometry in forming the net pattern. Having more than a single wave-particle ST unit passing through the slit(s) is simply magnifying the fundamental interaction between the slit material and wave-particleBIM-ST geometries!As Heisenberg so profoundly pointed out, all contributions to any observation-measurement scenario must be accounted for.

Together, the

andDouble-Slit Experiment(Quantum Entanglement Conjecture) are but two sides of the same coin. Details to follow inDSEQECandTPISC IV.VThe absolut key notion in the

is that the geometry of theDSEQECBIMandBIMtreeboth simultaneously and automatically precede and inform the subsequent ST unit expression, and, that this geometry is ubiquitous — expanding to infinity!

Since the initial ** DSEQEC Conjecture**, presented as quoted above in

## Open letter addressing the "ER=EPR" work of Leonard Susskind, Juan Maldacena, and Mark Van Raamsdonk, …

The

ER=EPRconjecture is a very interesting insight into the joining of quantum mechanics with quantum gravity through the geometry of spacetime.What is needed is the other, complementary side that seals the deal: any entanglement of spacetime (ST) and ST units/particles, i.e. photons, gravitons, Higgs Bosons,… must reckon with:

- ST itself is formed in such a way that it obeys the
Inverse Square Law (ISL), is always consistent with the Conservation of Energy, and its very formation must be one and the same with the formation of its progeny ST units and the built-in velocity of light,;c- ST itself, and thus its ST progeny, must be conserved;
- ST itself, and thus it ST progeny, must be fully accountable for all intricacies of the Double-Slit Experiment.
One can satisfy all three constraints by allowing ST to be pulse-propagated from its singularity (S) into and back out of our ordinary view, forming the photon with its built-in velocity,

, with each pulse. A graviton is nothing more than the positive interference of two similar-spin photons, while the Higgs Boson, in the pure state, is two photons with opposite-spins interfering. The Higgs, of course, gains mass as it decouples into ST units with 1/2 spin, be it quarks or electrons-neutrinos, or their composites. Note that one could start with the Higgs and decouple, first to the photon and thereafter to its progeny.c(LightspeedST)Key to the ordered formation of ST is the

ISL. A fully, self-consistent matrix grid array numerically depicting theISLin all its glory is easily formed by filling in all the Inner Grid cell values as the difference between squares of the x- and y-axis whole integer numbers (MathspeedST). It’s called theBIM, orBBS-ISL Matrix.Here’s the thing. Amongst a myriad of other connections, there exist an intimate connection between three number systems:

- The
ISLas laid out in theBIM;- PTs — and most especially PPTs — as laid out on the
BIM;- The PRIME numbers — PRIMES — as laid out on the
BIM.The

BIMis the FIXED GRID numerical array of theISL.The PTs are the Pythagorean Triples, and more specifically, the PPTs are the Primitive Pythagorean Triples (parent, non-reproducible). All PTs — primitive and non-primitive — are found on the

BIM([TPISC I: Basics, TPISC II: Advanced, TPISC III: Clarity [Tree of Primitive Pythagorean Triples, ToPPT],andTPISC IV: Details](http://www.brooksdesign-ps.net/Reginald_Brooks/Code/Html/MSST/MSST-TPISC_resources/MSST-TPISC_resources.html)).Amongst its vast array of inter-connecting

Number Pattern Sequences (NPS)— i.e., number systems — two such systems stick out and do so in such an overtly visual — as well as mathematical — way that their connection to each other is more than implied.You see, both the PPTs and PRIMES strictly align themselves on the SAME paths within the

BIM.But we are not here to discuss the PRIMES, just the

BIMand the PPTs. And why is that? How do they shed light on theand the whole Geometry of Spacetime scenario that, I believe, underliesDouble-Slit Experiment, Quantum EntanglementER=EPR?Briefly — very briefly — the PTs introduce rectangles, ovals and non-isosceles right triangles as articulation nodes within the architectural framework of the pure squares, circles and isosceles triangles that the pure

ISLbuilds, as clearly revealed — through a highly visible algebraic geometry — on theBIM.Visually, right on the

BIMgrid, one can see — literally draw — the PTs on each active Row (or Column since theBIMis bilaterally symmetric).Now, two point of emphasis before carrying on: both the

BIMand the embedded PTs are fixed, non-variable mathematical entities, and, they both extend to infinity. Every ST unit pulse is informed by this grid information at the start (from its S), and is known throughout its pulse-propagation history. It is “information” that exists with no need to travel at or faster than the speed of light. If one knows “any” value and location on the grid one inherently knows “all” the information that defines that history. Not only that, but theBIMand PTs are so intimately linked throughout the grid that one can be used to define the other.Because the

BIMis bilaterally symmetrical, and, because every PT can be inherently represented on theBIMin both “left” and “right” hand depictions — e.i. on an active Row, a 3-4-5 PPT can be depicted equally with the hypotenuse along the axis Row (lower leftBIM) and its short side to the “left” and to the “right” and if you turn to the Columns side of theBIM(upper right), again the “left” and “right” versions of the same 3-4-5 PPT are depicted. What is even more amazing, the Area of the PPT x 4 is always present on that same Row (or Column) and is integral to defining the relationships to the next PPT within the ToPPTs. There is so much inter-connectedness between theBIM, the PTs and the next PPTs built right in to the grid that one feels a blue-print for the fractal-based holographic ST universe is right before one’s eyes!Back to the point: let the 4 iterations of the PT — any PT — structurally represent the quantum state parameter of spin (spin angular momentum). When one measures the vector spin value and orientation, one is measuring one of the 4 PT iterations. Knowing one value, one always instantaneously knows the value of the “other” entangled ST unit coherently existing as part of a complementary pair sharing the same total quantum state. If your axis of measurement defines “left” (or -) on one ST unit moving in one direction, you will automatically register the equal but opposite “right” (or +) measurement on the other entangled ST unit moving in the opposite direction. No information is transmitted or signaled. It is inherently known and the very process of which axis is used to make the measurement pre-selects the two opposite spin orientations. Sorry, but the hidden information is neither hidden nor transferred at faster than lightspeed — it is simply known! This is the

Quantum Entanglement Conjecture.The

Double-Slit Experiment Conjecturesuggests that the very same known information is what is ultimately revealed on the screen as an interference pattern of even a single photon. It appears that the photon splits itself into two (or more) parts, each going through one of the double-slits and thereafter re-combining as positive and negative interference patterns, and while I do believe this is very possibly part of the story here, what is really being exposed — most emphatically not transferred — is the known information of theBIM/ISLas the collapse of the all possible wave probabilities of a given photon traveling through one or the other of the two slits. Information can demonstrate positive and negative interference!Together, the

Double-Slit Experiment Conjectureand theQuantum Entanglement Conjectureare the result of the one and same information expression:DSEC=QEC,orDSEQECfor short (Double-Slit Experiment Quantum Entanglement Conjecture).The

ER=EPRconjecture brilliantly ties the fractal, holographic Universe(s) into a self-consistent whole by turning the geometry of spacetime in on itself. It implies that connections between disparate “space” and disparate “time” realizations may be fruitfully manifested by the re-joining the one with the other by tunneling (ER wormhole). TheDSEQECprovides for the very “mechanics” or “architecture” of that possibility. The statistical, probability of the all-possible paths quantum wave is simply this: every “possible” path has embedded within it the known information of theBIM— including the PPTs and PRIMES — and the collapse of that wave-form of possibilities into a manifest reality selects for that known information set of that particular quantum state identity at the time and place of collapse. Perhaps the most-positive interference of the known information leans that selection to the most statistically likely “choice.”The information briefly presented here is freely available in its full form on my website and is included in several of my free iBooks. A few of the more advanced iBooks have a nominal charge, but I have free redeemable coupons available upon request for teachers, educators and students.

NOTE: The decoupling of strict symmetry of the Higgs Boson generates mass expression in forming ST units with mass, i.e. fermions, baryons and mass+ bosons.

** NOTE: Every PT is on the BIM, along with its proof. In addition, the Axis Row containing the PT always contains the squared value of its sides and hypotenuse, as well as its Area value x 4.**

** NOTE: Every PT is represented on the BIM 4x, a "left" and "right" version on both the Axis Row and its symmetrical Axis Column.**

The ramifications of Susskind, Maldacena and Van Raamsdonk's works are most profound, offering a fresh, imaginative and far-reaching overview of the Geometry of Spacetime. The ** DSEQEC** fully resonates with the

DSEQEC — 1 from Reginald Brooks on Vimeo.

DSEQEC — 2 from Reginald Brooks on Vimeo.

DSEQEC-3 from Reginald Brooks on Vimeo.

Note: The hypothetical photon is a model of my own making (see LightspeedST, LUFE) and has no experimental confirmation. Despite its highly visualized nature within the proposed quantum, pulse-propagating context in which it is described, it still remains just a model. The proposed connection between the two Left- and two Right-handed PPTs — as shown above — as the fundmental, underlying ST source of the phenomena of "spin", as depicted on the** BIM**, remains! It is this information as to the vector parameter of spin — magnitude and direction — that exists for each ST unit particle. Information that provides equal, yet opposite, spin vector direction simultaneoulsy. It is known, does not need to be transported, and becomes the *in situ* basis of entanglement.

**DSEQEC: Double-Slit Experiment **— **Quantum Entanglement Conjecture**

On the **BIM (BBS-ISL Matrix)**, ALL Pythagorean Triples — parent, Primitive Pythagorean Triples (PPTs) and child, non-Primitive PTs (nPPTs) — are found.

Because the **BIM** extends all **Inverse Square Law (ISL)** information to infinity, and, knowing any one matrix grid cell value and location, one (Nature) ubiquitously knows ALL the **BIM **values at ALL grid cell locations, and because the PTs, as part of the **BIM**, are also ubiquitously known, NO FASTER THAN LIGHT signal is required to extend the information to its ENTANGLED cohort particle regardless of the degree of space or time separation, i.e. SpaceTime (ST) separation.

Entangled ST unit particles, like the photon, coherently share the same quantum state, only with equal but opposite values. The Conservation Laws (energy, charge, spin angular momentum) require the combined coherent state of the entangled ST unit particles to be the net value of its individual units when combined. Spin is often the quantum state value measured to label two equal but opposite values contributed. Spin may be designated as up-down, left-right, + or -, …

It is proposed in the **DSEQEC** that the PTs represent the quantum state values of spin, with the direction of travel of the spin vector that is measured being one of the sides of the PT.

Since the BIM

itself is bilaterally symmetrical, and, because every PT on the **BIM **is represented on a Row (or Column), and can be depicted in either “left-” or “right-“handed iterations, there are 4 total iterations of any given PT.

Ones particular axial frame of reference when measuring the spin vector as up-down, left-right, + or -,…. ALWAYS results in the measurement reading of the opposite, but coherently entangled particle spin vector to be INSTANTLY equal but opposite precisely because the spin information is ALWAYS known. The movement in opposite direction ensures that, given the same axial frame of reference, the opposite will always be chosen.

One may argue that the measurement is collapsing the wave-probability function in which both spin vector directions simultaneously exist and it is the act of measuring that collapses the wave function to select one or the other spin vector direction. And in one sense, that is true. But NOT in the sense that some hidden information traveling faster than light is then communicating, via a signal, to the other particle to register the opposite spin vector direction.

NO. There are is NO hidden variable information and there is NO faster than light signal pushing information to the other entangled particle. What is happening is that the choice of measurement to utilize a specific and consistent axial frame of reference to register the spin vector angular momentum direction crucially pre-selects the COMPLETELY, SIMULTANEOUSLY KNOWN INFORMATION of the other entangled ST unit particle, giving the equal, but opposite spin vector direction when measured with the same axial frame of reference.

The **DSEQEC ** is consistent with and provides a complementary theoretical basis for the** ER = EPR **work of Leonard Susskind, Juan Maldacena and Mark Van Raamsdonk. The **ER = EPR conjecture** is a very interesting insight into the joining of quantum mechanics with quantum gravity through the geometry of spacetime.

But what of the Double-Slit Experiment? The same KNOWN INFORMATION of the PTs on the **BIM** means that even a single ST unit particle — be it a photon or an electron — can interfere with itself in going through the two slits because the INFORMATION of BOTH possible paths is KNOWN from the start. Now, it is the process of detecting (measuring) which slit the ST particle went through that destroys the heretofor entangled INFORMATION, resulting in the loss of the interference pattern.

A tip of the hat to Jacob Kafka’s “*Rough Animator*” app.

Original soundtrack.

http://www.brooksdesign-ps.net/Reginald_Brooks/Code/Html/netarti5.htm

Thanks for viewing!

The quantum universe begs the question: what is the quantum?

Perhaps we can say the basic pulse-propagation of ST from its singularity — a singularity connected to the larger pool of all singularities by the Conservation of Energy — out into full spacetime extension, and back, is the fundamental quantum. The ST so formed has articulation points, nodes of structural formation made by the embedded Pythagorean Triples. These nodes are also quantized as they both are dependent upon the unfolding **Inverse Square Law**-based ST, and they have distinct vector parameters inherently built into their asymmetric forms. They have both magnitude and direction — and as vectors their net expression can be the result of the total added or subtracted interfering ST units. The fact that every primitive PT comes in both its parent PPT form as well as its child nPPT form provides a built in fractal-like structure, that, when combined with the fact that each and every PT — PPT and nPPT — has 4 iterations of expression within the unfolding ST unit pulse-propagation, and we we now have a fractal-based, holographic quantum universe(s)!

The Conservation Laws, and specifically the Conservation of Energy — the Conservation of Lightspeed — the Conservation of SpaceTime — has been at the center of the discovery of the **BIM**. The **ISL** is at the heart of ST formation and its expression as matter and fields. At the “end of the day” it must be conserved!

And while discovering how intimately and profoundly the Pythagorean Triples — especially in the form of the **ToPPTs** — are so incredibly **Number Pattern Sequence** inter-related to each other and their placement on the **BIM** — as also referred to as the **BIMtree** — is a giant step forward, it is its structural implications that give it meaning. The PTs give structural nodes and forms to the generalized **BIM** structure in the unfolding of ST.

As ST forms, i.e. expresses itself as, matter and waves, it must address the underlying imperative that in total, its Conservation Laws must be upheld.

If the ST parameters that give identity to wave-particle forms of matter and/or to wave-particle forms of an energy field — parameters such as energy, momentum, charge, baryon number, and lepton number — are a manifestation of their underlying quantum number state, then these too must be intimately involved in the Conservation Laws.

When a wave-particle ST unit seems to either separate into two parts that later recombine as they interfere with each other (**Double-Slit Experiment**), and/or, when they are part of a system of two (or more) ST units entangled (**Quantum Entanglement**) via sharing the same quantum number state, they BOTH MUST DO SO IN A WAY THAT SATISFIES THE CONSERVATION LAWS!

The total angular spin momentum of any system must be such that it does NOT violate the Conservation Laws. Naturally, if the entangled ST units have spin measured UP on one axis of one of the entangled pairs, it MUST measure DOWN on the same axis of measurement on the other entangled unit. This is the Conservation Law in action.

If the ST that informs the wave-particle and its parameters ALWAYS obeys the Conservation Laws, then the geometry that informs that ST formation must in and of itself ALWAYS obey the same laws.

The **BIM** and **BIMtree**, being the geometry of the **BIM** and **BIMtree** expression,both simultaneously and automatically precede and inform any and all subsequent ST unit expression, and, that this geometry is ubiquitous — expanding to infinity!

~~ ~~ ~~

~~ ~~ ~~

Such profound harmony of form naturally begs the question:

to what effect?

Several conjectures come to mind:

Would not the fractal-nodes of the PTs lead to structural articulation points along the expanding ST that would allow the geometry of the Squares to be enhanced by the embedded geometry of the non-Square Rectangles holding these PTs?- Would not these same fractal-nodes of the PTs be internal, integral and identifying structural parameters (Quantum State Numbers) of any wave-particle ST unit formed?
Would not the immensely inter-connecting linkage of the PTs, between the PTs and between the PTs and theand theBIMitself, provide the very basis of the wave-particle duality and entanglement phenomenon we see in theDouble-Slit Experiment(Quantum Entanglement) that lies at the core of our understanding the Quantum Universe?DSEQEConjecture

Form follows function — function follows Form!

**SEE Page 50 (Art Theory101: White Papers) for spreadsheets:** BIM: How to Make.

ER=EPR

https://en.wikipedia.org/wiki/ER%3DEPR EPR

https://en.wikipedia.org/wiki/Quantum_entanglement Quantum Entanglement

https://en.wikipedia.org/wiki/Wormhole = Einstein-Rosen Bridge (EP)

https://en.wikipedia.org/wiki/Black_hole Black Hole

https://en.wikipedia.org/wiki/Event_horizon Event Horizon

https://en.wikipedia.org/wiki/EPR_paradox EPR Paradox

https://en.wikipedia.org/wiki/Einstein%27s_thought_experiments Einstein's Thought Experiments

https://en.wikipedia.org/wiki/Firewall_(physics) AMPS firewall

*Mark Van Raamsdonk*

https://en.wikipedia.org/wiki/Mark_Van_Raamsdonk

https://arxiv.org/pdf/1005.3035.pdf Building up spacetime with quantum entanglement

https://sitp.stanford.edu/topic/quantum-gravity-and-black-holes Gravity and Entanglement

https://www.nature.com/news/the-quantum-source-of-space-time-1.18797 The quantum source of space-time

https://www.sciencenews.org/blog/context/new-einstein-equation-wormholes-quantum-gravity A new ‘Einstein’ equation suggests wormholes hold key to quantum gravity

*Leonard Susskind*

https://en.wikipedia.org/wiki/Leonard_Susskind Leonard Susskind

http://theoreticalminimum.com/home

https://sitp.stanford.edu/people/leonard-susskind

https://sitp.stanford.edu/topic/quantum-gravity-and-black-holes ER = EPR" or "What's Behind the Horizons of Black Holes?" (Lecture 1 & 2)

https://arxiv.org/pdf/hep-th/9306069v2.pdf The Stretched Horizon and Black Hole Complementarity

Leonard Susskind, La ́rus Thorlacius, and John Uglum, Department of Physics

Stanford University, Stanford, CA 94305-4060

https://arxiv.org/pdf/1606.08444.pdf Space from Hilbert Space: Recovering Geometry from Bulk Entanglement

ChunJun Cao, Sean M. Carroll, and Spyridon Michalakis,

https://arxiv.org/pdf/1604.02589.pdf Copenhagen vs Everett, Teleportation, and ER=EPR

https://arxiv.org/pdf/1306.0533.pdf Cool horizons for entangled black holes Juan Maldacena and Leonard Susskind

*Juan Martîn Maldacena*

https://en.wikipedia.org/wiki/Juan_Mart%C3%ADn_Maldacena Juan Maldacena

https://www.ias.edu/scholars/maldacena

https://en.wikipedia.org/wiki/AdS/CFT_correspondence Anti-de Sitter/Conformal Field Theory correspondence, sometimes called **Maldacena duality** or **gauge/gravity duality**

https://www.ias.edu/ideas/2013/maldacena-entanglement Entanglement and the Geometry of Spacetime

https://www.ias.edu/ideas/2015/general-relativity-at-100-conference General Relativity at 100

https://www.ias.edu/ideas/2011/maldacena-black-holes-string-theory Black Holes and the Information Paradox in String Theory

**Patrick Hayden**

https://sitp.stanford.edu/topic/quantum-information Decoding Spacetime

https://quantumfrontiers.com/tag/patrick-hayden/ Here’s one way to get out of a black hole!

http://iopscience.iop.org/article/10.1088/1126-6708/2007/09/120/meta;jsessionid=3A92BE27C55F2B4A3D8CFC70E14618CB.c3.iopscience.cld.iop.org Black holes as mirrors: quantum information in random subsystems

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https://www.nature.com/articles/s41586-018-0200-5 Deterministic delivery of remote entanglement on a quantum network

Peter C. Humphreys, Norbert Kalb, Jaco P. J. Morits, Raymond N. Schouten, Raymond F. L. Vermeulen, Daniel J. Twitchen, Matthew Markham & Ronald Hanson

Nature, volume 558, pages 268–273 (2018)

http://www.theory.caltech.edu/∼preskill/ph229

http://www.theory.caltech.edu/people/preskill/ph229/notes/chap4.pdf Chapter 4 Quantum Entanglement

https://plato.stanford.edu/entries/qt-entangle/ Quantum Entanglement and Information

https://en.wikipedia.org/wiki/Paul_Dirac Paul Dirac

https://arxiv.org/pdf/1503.06237.pdf Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence

Fernando Pastawski,*a Beni Yoshida*a Daniel Harlow,b John Preskill,a

https://journals.aps.org/pr/abstract/10.1103/PhysRev.48.73 The Particle Problem in the General Theory of Relativity

A. Einstein and N. Rosen, Phys. Rev. **48**, 73 – Published 1 July 1935

https://journals.aps.org/pr/abstract/10.1103/PhysRev.47.777 Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?

A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev. **47**, 777 – Published 15 May 1935

https://www.sciencenews.org/article/entanglement-gravitys-long-distance-connection

Entanglement: Gravity's long-distance connection

https://arxiv.org/pdf/0709.0390.pdf* Entanglement, EPR-correlations, Bell-nonlocality, and Steering

S. J. Jones, H. M. Wiseman, and A. C. Doherty, (Dated: May 28, 2018)

https://www.quantamagazine.org/entanglement-made-simple-20160428/ Entanglement Made Simple Frank Wilczek, April 28, 2016

http://science.sciencemag.org/content/360/6387/40* Spatial entanglement patterns and Einstein-Podolsky-Rosen steering in Bose-Einstein condensates

Matteo Fadel, Tilman Zibold, Boris Décamps, Philipp Treutlein, *Science* 27 Apr 2018:

Vol. 360, Issue 6387, pp. 409-413 DOI: 10.1126/science.aao1850

https://phys.org/news/2018-04-einstein-podolsky-rosen-paradox-many-particle.html as above

https://www.quantamagazine.org/closed-loophole-confirms-the-unreality-of-the-quantum-world-20180725/

*https://phys.org/news/2018-03-gravity-quantum-mechanics.html*

https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.119.240401 Spin Entanglement Witness for Quantum Gravity

Sougato Bose, Anupam Mazumdar, Gavin W. Morley, Hendrik Ulbricht, Marko Toroš, Mauro Paternostro, Andrew A. Geraci, Peter F. Barker, M. S. Kim, and Gerard Milburn, Phys. Rev. Lett. **119**, 240401 – Published 13 December 2017

Read more at: https://phys.org/news/2018-03-gravity-quantum-mechanics.html#jCp

https://phys.org/news/2018-02-two-way-quantum-particle.html?utm_source=nwletter&utm_medium=email&utm_campaign=weekly-nwletter 'Two-way signaling' possible with a single quantum particle

Lisa Zyga, Phys.org, February 26, 2018

https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.120.060503

Two-Way Communication with a Single Quantum Particle

Flavio Del Santo and Borivoje Dakić

Phys. Rev. Lett. **120**, 060503 – Published 8 February 2018

Read more at: https://phys.org/news/2018-02-two-way-quantum-particle.html#jCp

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