private void AddLeptons()
{
// ADD ELECTRON
Electron e = new Electron();
particles.Add(e);
// ADD MUON
Muon muon = new Muon();
particles.Add(muon);
// ADD TAUON
Tauon tau = new Tauon();
particles.Add(tau);
// ADD ELECTRON NEUTRINO
ElectronNeutrino nu_e = new ElectronNeutrino();
particles.Add(nu_e);
// ADD MUON NEUTRINO
MuonNeutrino nu_muon = new MuonNeutrino();
particles.Add(nu_muon);
// ADD TAUON NEUTRINO
TauonNeutrino nu_tau = new TauonNeutrino();
particles.Add(nu_tau);
}
public void UntrackElectron(Electron electron)
{
unanalyzedElectrons.Remove(electron);
analyzedElectrons.Remove(electron);
AnalyzeElectrons();
}
public static async Task Main(string[] args)
{
IWebHostBuilder builder;
#if DEBUG
var webPort = Electron.Experimental.FreeTcpPort();
await Electron.Experimental.StartElectronForDevelopment(webPort);
builder = CreateWebHostBuilder(args);
// check for the content folder if its exists in base director otherwise no need to include
// It was used before because we are publishing the project which copies everything to bin folder and contentroot wwwroot was folder there.
// now we have implemented the live reload if app is run using /watch then we need to use the default project path.
if (Directory.Exists($"{AppDomain.CurrentDomain.BaseDirectory}\\wwwroot"))
{
builder.UseContentRoot(AppDomain.CurrentDomain.BaseDirectory);
}
builder.UseUrls("http://localhost:" + webPort);
#else
builder = CreateWebHostBuilder(args);
Debugger.Launch();
Electron.ReadAuth();
builder.UseElectron(args);
#endif
await builder.Build().RunAsync();
}
public void Verify_Entangled_Electrons_Maintain_Entanglement()
{
Electron one = new Electron();
Electron two = new Electron();
int count_diff = 0;
int count_all = 0;
// measure them both on the X axis
for (int i = 0; i < 1000; ++i)
{
one.Randomize();
two.EntangleSpins(one);
// measure them both on the X axis - a bunch of times!
for (int j = 0; j < 1000; ++j)
{
++count_all;
if (one.Spin(SPIN_AXIS.SPIN_AXIS_X) != two.Spin(SPIN_AXIS.SPIN_AXIS_X))
{
++count_diff;
}
}
}
// measure them both on the Y axis
for (int i = 0; i < 1000; ++i)
{
one.Randomize();
two.EntangleSpins(one);
// measure them both on the Y axis - a bunch of times!
for (int j = 0; j < 1000; ++j)
{
++count_all;
if (one.Spin(SPIN_AXIS.SPIN_AXIS_Y) != two.Spin(SPIN_AXIS.SPIN_AXIS_Y))
{
++count_diff;
}
}
}
// measure them both on the Z axis
for (int i = 0; i < 1000; ++i)
{
one.Randomize();
two.EntangleSpins(one);
// measure them both on the Z axis - a bunch of times!
for (int j = 0; j < 1000; ++j)
{
++count_all;
if (one.Spin(SPIN_AXIS.SPIN_AXIS_Z) != two.Spin(SPIN_AXIS.SPIN_AXIS_Z))
{
++count_diff;
}
}
}
Assert.True(count_diff == count_all, "Must allways be anti-correlated.");
}
/// <summary>
/// Populates the <see cref="Orbital"/> with an electron.
/// </summary>
public void Populate()
{
if (this[0] == null)
{
this[0] = new Electron(ElectronSpin.Up);
return;
}
this[1] = new Electron(ElectronSpin.Down);
}
//As electron is spawned, analyze its projectile data and give it a call-back to update analysis if it bounces
public void TrackElectron(Electron electron)
{
if (!unanalyzedElectrons.Contains(electron))
{
unanalyzedElectrons.Add(electron);
}
electron.SetBounceCallback(UpdateTrackedElectron);
AnalyzeElectrons();
}
public void Verify_Entangled_Electrons_Decohere()
{
Electron one = new Electron();
Electron two = new Electron();
int count_diff = 0;
int count_all = 0;
// measure them both on the X axis
for (int i = 0; i < 1000; ++i)
{
one.Randomize();
two.EntangleSpins(one);
++count_all;
bool measure_once = one.Spin(SPIN_AXIS.SPIN_AXIS_Z) != two.Spin(SPIN_AXIS.SPIN_AXIS_Z);
// measurement on Z should break entanglement on X
if (one.Spin(SPIN_AXIS.SPIN_AXIS_X) != two.Spin(SPIN_AXIS.SPIN_AXIS_X))
{
++count_diff;
}
}
// measure them both on the Y axis
for (int i = 0; i < 1000; ++i)
{
one.Randomize();
two.EntangleSpins(one);
++count_all;
bool measure_once = one.Spin(SPIN_AXIS.SPIN_AXIS_X) != two.Spin(SPIN_AXIS.SPIN_AXIS_X);
// measurement on X should break entanglement on Y
if (one.Spin(SPIN_AXIS.SPIN_AXIS_Y) != two.Spin(SPIN_AXIS.SPIN_AXIS_Y))
{
++count_diff;
}
}
// measure them both on the Z axis
for (int i = 0; i < 1000; ++i)
{
one.Randomize();
two.EntangleSpins(one);
++count_all;
bool measure_once = one.Spin(SPIN_AXIS.SPIN_AXIS_Y) != two.Spin(SPIN_AXIS.SPIN_AXIS_Y);
// measurement on Y should break entanglement on Z
if (one.Spin(SPIN_AXIS.SPIN_AXIS_Z) != two.Spin(SPIN_AXIS.SPIN_AXIS_Z))
{
++count_diff;
}
}
Assert.False(count_diff == count_all, "Must not always be anti-correlated.");
}
public void UpdateTrackedElectron(Electron electron)
{
//When an electron bounces, its projectile data is now useless and we should recalculate it
analyzedElectrons.Remove(electron);
if (!unanalyzedElectrons.Contains(electron))
{
unanalyzedElectrons.Add(electron);
}
AnalyzeElectrons();
}
void SpawnElectron(int index)
{
GameObject elecObj = GameObject.Instantiate(electronTemp);
elecObj.transform.parent = electronContainer.transform;
elecObj.transform.localPosition = Vector3.zero;
Electron electron = elecObj.GetComponent <Electron> ();
ElectronData data = CalculateElectronData(index);
electron.SetElectronLocation(data.position);
electron.SetRotation(sphere.transform.position, data.normal, speed);
elecObj.SetActive(true);
}
public void generateElectron(Vector3 pos, float r, int shell)
{
GameObject electron = (GameObject)Instantiate(Resources.Load("Electron"));
electron.name = "Electron";
electron.transform.localScale = new Vector3(0.01f, 0.01f, 0.01f);
electron.transform.position = pos;
electron.transform.parent = GameObject.Find("Shell " + shell).transform;
GameObject.Destroy(electron.GetComponent <SphereCollider>());
Electron e = electron.AddComponent <Electron>();
e.radius = r;
e.centre = transform;
e.rotationSpeed = 8 + (10 * shell);
}
//TODO: the Launcher shouldn't own the logic to bind the Bot's tracking to the individual Electrons
//this may be better done in whatever manager takes care of pooling the Electrons
//all of the pooled Electrons could be given the callback once at scene start
public void FireElectron(Vector3 firingForce)
{
GameObject elecObj = Instantiate <GameObject>(electronPrefab, electronParent, true);
elecObj.name = "Electron " + id++;
elecObj.transform.position = electronSpawn.position;
Rigidbody elecRB = elecObj.GetComponent <Rigidbody>();
elecRB.velocity = firingForce;
//elecRB.AddForce(firingForce);
Electron electron = elecObj.GetComponent <Electron>();
UpdateBotTracking(electron);
}
public void Verify_Randomized_Electrons_Not_Entangled()
{
Electron one = new Electron();
Electron two = new Electron();
int count_diff = 0; // we count anti-correlation
int count_all = 0;
// measure them both on the X axis
for (int i = 0; i < 1000; ++i)
{
one.Randomize();
two.Randomize();
++count_all;
if (one.Spin(SPIN_AXIS.SPIN_AXIS_X) != two.Spin(SPIN_AXIS.SPIN_AXIS_X))
{
++count_diff;
}
}
// measure them both on the Y axis
for (int i = 0; i < 1000; ++i)
{
one.Randomize();
two.Randomize();
++count_all;
if (one.Spin(SPIN_AXIS.SPIN_AXIS_Y) != two.Spin(SPIN_AXIS.SPIN_AXIS_Y))
{
++count_diff;
}
}
// measure them both on the Z axis
for (int i = 0; i < 1000; ++i)
{
one.Randomize();
two.Randomize();
++count_all;
if (one.Spin(SPIN_AXIS.SPIN_AXIS_Z) != two.Spin(SPIN_AXIS.SPIN_AXIS_Z))
{
++count_diff;
}
}
Assert.False(count_diff == count_all, "Should not all be anti-correlated.");
}
void MakeOrbits(int electrons, int orbitCount)
{
int elRest = electrons;
for (int i = 0; i <= orbitCount; i++)
{
GameObject orbit = new GameObject();
orbit.name = "Orbit" + i;
orbit.transform.parent = transform;
orbit.transform.localPosition = Vector3.zero;
CircleLine myRing = Instantiate <CircleLine>(ring);
myRing.SetOrbitCapacity(elAndO[i, 0]);
myRing.SetElectronCount(elAndO[i, 1]);
myRing.CreatePoints(orbitRadius * (i + 1));
myRing.transform.parent = transform;
myRing.transform.localPosition = Vector3.zero;
//Shell for Orbit
GameObject Shell = Instantiate <GameObject>(pulseObj);
Shell.transform.parent = orbit.transform;
Shell.transform.localPosition = Vector3.zero;
float sr = (i + 1) * orbitRadius * 2f;
Shell.transform.localScale = new Vector3(sr, sr, sr);
//Electrons
for (int j = 0; j < orbitThreshold[i]; j++)
{
Electron ele = Instantiate <Electron>(myElectron);
ele.transform.parent = orbit.transform;
float partinCircle = (float)j / orbitThreshold[i];
ele.Arrange(i, orbitRadius, partinCircle);
elRest--;
if (elRest <= 0)
{
return;
}
}
}
}
void Start()
{
Camera camera = Camera.main;
limitX = camera.orthographicSize * camera.aspect;
limitY = camera.orthographicSize;
for (int i = 0; i < count; ++i)
{
Electron electron = new Electron();
electron.gameObject = Instantiate<GameObject>(prefab);
electron.gameObject.transform.SetParent(transform, false);
electrons.Add(electron);
electron.position = new Vector2(
(Random.value - 0.5f) * 2f * limitX,
(Random.value - 0.5f) * 2f * limitY
);
}
}
public void FireElectron()
{
GameObject elecObj = Instantiate <GameObject>(electronPrefab, electronParent, true);
elecObj.name = "Electron " + id++;
elecObj.transform.position = electronSpawn.position;
Vector3 randomForce = new Vector3(
Random.Range(minFiringForce.x, maxFiringForce.x),
Random.Range(minFiringForce.y, maxFiringForce.y),
0);
Rigidbody elecRB = elecObj.GetComponent <Rigidbody>();
elecRB.velocity = randomForce;
//elecRB.AddForce(randomForce);
Electron electron = elecObj.GetComponent <Electron>();
UpdateBotTracking(electron);
}
private ProjectileTrajectoryData AnalyzeTarget(Electron proj, Vector3 currentCatcherPosition)
{
//Calculate an electron's landing time and position based on its velocity
//Store this in ProjectileTrajectoryData so we don't have to recalculate anything until a collision occurs
float timeToGround;
if (proj.rb.velocity.y > 0)
{
float timeToRise = proj.rb.velocity.y / -Physics.gravity.y;
float maxHeight = proj.transform.position.y + proj.rb.velocity.y * timeToRise - (0.5f * -Physics.gravity.y * Mathf.Pow(timeToRise, 2));
float timeToFall = Mathf.Sqrt((2f * (maxHeight - landingPlaneHeight)) / -Physics.gravity.y);
timeToGround = timeToRise + timeToFall;
//Debug.Log("Upward projectile analysis for " + proj.gameObject.name + ": timeToGround = " + timeToGround +
//", maxHeight = " + maxHeight + ", timeToFall = " + timeToFall);
}
else
{
timeToGround = (-proj.rb.velocity.y - Mathf.Sqrt(Mathf.Abs(Mathf.Pow(proj.rb.velocity.y, 2) - (2f * Physics.gravity.y * -(landingPlaneHeight - proj.transform.position.y))))) / Physics.gravity.y;
//Debug.Log("Falling projectile analysis for " + proj.gameObject.name + ": timeToGround = " + timeToGround +
//", y0 = " + proj.transform.position.y + ", Vy0 = " + proj.rb.velocity.y);
}
Vector3 landingLocation = new Vector3(
proj.rb.velocity.x * timeToGround + proj.rb.position.x,
landingPlaneHeight,
proj.rb.velocity.z * timeToGround + proj.rb.position.z);
float distance = Vector3.Distance(landingLocation, currentCatcherPosition);
float timeToCatch = distance / moveSpeed;
ProjectileTrajectoryData projectileData = new ProjectileTrajectoryData();
projectileData.landingTimestamp = timeToGround + Time.time;
projectileData.landingLocation = landingLocation;
projectileData.catchable = IsCatchable(projectileData, currentCatcherPosition);
return(projectileData);
}
/// <summary> Helper method to calculate correlation on chosen axes. </summary>
/// <param name="A"> The spin axis for Alice. </param>
/// <param name="B"> The spin axis for Bob. </param>
/// <param name="count"> The optional number of tests to run. Default 1000. </param>
public static double CorrelateElectronsOnAxes(SPIN_AXIS A, SPIN_AXIS B, int count = 1000)
{
Electron one = new Electron();
Electron two = new Electron();
double count_same = 0.0;
double count_diff = 0.0;
double count_all = 0.0;
for (int i = 0; i < count; ++i)
{
one.Randomize();
two.EntangleSpins(one);
int isA = one.Spin(A);
int isB = two.Spin(B);
count_all += 1.0;
if (isA == isB)
{
count_same += 1.0;
}
else
{
count_diff += 1.0;
}
}
// sadly, I forget where I saw this equation for calculating the correlation.
// usually it is more like:
//
// C = (num_pp + num_mm - num_pm - num_mp) / (num_pp + num_mm + num_pm + num_mp)
//
// but this is arithmetically equivalent. ( when strictly using real numbers. )
//
return((count_same - count_diff) / count_all);
}
private void UpdateBotTracking(Electron electron)
{
bot.TrackElectron(electron);
electron.SetDisableCallback(bot.UntrackElectron);
}
/// <summary>
/// Run the three axes Bell Inequality Test against Sinnable Electrons.
/// </summary>
/// <remarks>
/// See https://en.wikipedia.org/wiki/Sakurai%27s_Bell_inequality
/// </remarks>
internal static void BellTriAxisElectronSpinTest()
{
SPIN_AXIS[] filters =
{
SPIN_AXIS.SPIN_AXIS_X,
SPIN_AXIS.SPIN_AXIS_Y,
SPIN_AXIS.SPIN_AXIS_Z
};
// every test works with two photons.
Electron one = new Electron();
Electron two = new Electron();
// various counts of the tests that pass the spin question.
int count_same = 0;
int count_same_XY = 0;
int count_same_YZ = 0;
int count_same_ZX = 0;
int count_all = 0;
int count_all_XY = 0;
int count_all_YZ = 0;
int count_all_ZX = 0;
for (int i = 0; i < 1000; ++i)
{
// force them to pick different filters
// X + Y, Y + Z, Z + X
int index_A = (i + 0) % 3;
int index_B = (i + 1) % 3;
SPIN_AXIS A = filters[index_A];
SPIN_AXIS B = filters[index_B];
// each test starts with a randomized particle
one.Randomize();
// and a particle in _perfect_ entanglement with it.
two.EntangleSpins(one);
int answer_A = one.Spin(A);
int answer_B = two.Spin(B);
count_all++;
// so we can know how many on each filter.
switch (index_A)
{
case 0: ++count_all_XY; break;
case 1: ++count_all_YZ; break;
case 2: ++count_all_ZX; break;
}
// count when they are in agreement.
if (answer_A == answer_B)
{
++count_same;
// and again, on each filter.
switch (index_A)
{
case 0: ++count_same_XY; break;
case 1: ++count_same_YZ; break;
case 2: ++count_same_ZX; break;
}
}
}
// correlation regardless of axes choice
double CE = (2.0 * count_same - count_all) / count_all;
// correlation on specific axes choice
double Cxy = (2.0 * count_same_XY - count_all_XY) / count_all_XY;
double Cyz = (2.0 * count_same_YZ - count_all_YZ) / count_all_YZ;
double Czx = (2.0 * count_same_ZX - count_all_ZX) / count_all_ZX;
// estimate of correlation combined.
double Ch = Cxy - Cyz - Czx;
bool spooky = (Ch >= 1.0);
Console.WriteLine(String.Format("Ce={0} Ch={1}, from {2} == {3}",
CE, Ch, count_all,
spooky ? "Spooky" : "Classic"));
}
public Orbital(IOrbitalGroup of)
{
Of = of ?? throw new ArgumentNullException(nameof(of));
SpinUp = new Electron();
SpinDown = new Electron();
}
public void Spawn()
{
randomLocation = Random.Range(0, 9);
electron = Instantiate(electronPrefab, spawnLocation[randomLocation], Quaternion.identity) as Electron;
}
private void AddLeptons()
{
// ADD ELECTRON
Electron e = new Electron();
particles.Add(e);
// ADD MUON
Muon muon = new Muon();
particles.Add(muon);
// ADD TAUON
Tauon tau = new Tauon();
particles.Add(tau);
// ADD ELECTRON NEUTRINO
ElectronNeutrino nu_e = new ElectronNeutrino();
particles.Add(nu_e);
// ADD MUON NEUTRINO
MuonNeutrino nu_muon = new MuonNeutrino();
particles.Add(nu_muon);
// ADD TAUON NEUTRINO
TauonNeutrino nu_tau = new TauonNeutrino();
particles.Add(nu_tau);
}