Why does the universe exists?

Certain interpretation of Gödel's incompleteness theorems states that not all truths associated with particular systems can be seen from within the system (this is basically a consequence of liars paradox). Does this suggest that there must always be something more than simply the system itself? Maybe not, it may simply be that not all truths can be known even if they're there. However, if it had to be the case, then perhaps it would be necessary that there will always be more complexity "somewhere out there". Then maybe we could claim that it is necessary that the cosmos (all of existence) is necessarily infinitely complex. Perhaps knowing that the cosmos is infinitely complex, is one of those things that cannot be known. Never the less, if that were the case, it could solve a lot of foundational problems, because in such a cosmos nothing is fiction. We would expect to find anything somewhere within that set, even something like the birth of our universe and emergence of human consciousness.

"Once you eliminate the impossible, whatever remains, no matter how improbable, must be the truth."

Compared to the previous, questions asked by your everyday physicist seem almost trivial. We can always build scientific models and fit all available observations from our local neighborhood of the cosmos, the observable universe. Sooner or later that is. These models will explain the universe within reason and give rational and justified expectations of how it likely evolved in the past and how it can be expected to evolve in the future. These models are by definition our best guess and they will to the best of our ability serve the goals we have given them.

There remains, however, one deeply mysterious question. What is the nature of consciousness? Since we are the observer, the one who experiences finite rate for the passage of time among other things (generally speaking physics is tenseless as a consequence of general relativity), it is nontrivial to arrive at an understanding of how human consciousness could come to be. We can imagine a machine that externally speaking reacts to stimuli as we do, but it is less obvious what (if any) separates us from such a machine. If consciousness is nothing more than states of information evolving in time at a finite rate (that can be counted relative to some other states such as global entropy), it still isn't entirely obvious how our experience of the present can exist. Is it somehow complementary to something in the universe like certain aspects of quantum mechanics? Or is that too one of those questions that simply cannot be answered from within?

At least it seems quite likely that simply by constructing certain configuration of matter, the matter will acquire consciousness like we do. This is mind the problem might not be so severe. The question then becomes is there something special about the universe that is related to consciousness in some special way? Like nonlocality of quantum mechanics or perhaps the many worlds interpretation? Suppose there isn't anything particularly special about any of this, then in fact the most important postulate waiting for proof (to the extent anything can be proven) might be that the cosmos is necessarily infinitely complex. Given that, everything more or less follows.

The determinism of many worlds interpretation would be less problematic if there was no consciousness, because then there is nothing special about one path over another. What is, is the whole of multiverse. It's consciousness that experiences only one path and one present that is mysterious, because we would like to understand what determines we experience this path instead of some other. Perhaps one could inject free will and consciousness somewhere in there somehow, or not.

What determines which universe you're going to experience?

1) Munchhausen's trilemma: Nothing can be proven unconditionally (as far as we know).

2) There is at least one consciousness that experiences things change at a finite rate (mine). It's probable that others exist as well.

3) Quantum mechanics is incomplete, because experimental results are best predicted by probabilistic models and probability is related to incomplete information.

4) General relativity implies that space and time are not independent of each other, fundamental or independent of mass-energy or in general information and events related to them.

5) Entropy grows with time.

6) Science cannot explain why the cosmos exists, only how the observable universe evolves. It tells us what future bets are justified based on the past. This is likely the best anyone can ever hope to do.

7) Purpose of postulates is to add to the predictive power of our existing models of reality. Supernatural is not a useful postulate as it does not make predictions that could be tested. Supernatural is not nonsense because it's probably false, it's nonsense because the postulate cannot be justified.

8) Fine-tuning of the observable universe either doesn't exist or the cosmos is infinitely complex and we must by necessity find ourselves somewhere within such set.

9) The observable universe probably hasn't always existed. The cosmos probably has, to the extent that it even has time. The origin of the observable universe is likely atemporal and thus talk of a cause is likely nonsense.

How to win 1 M€ with 99% probability?

Play no limit roulette and bet 1 M€ on either black or red and always double your bet until you've made 1 M€ profit (then stop and never look back).

The joke is that you need to be able to go 127 M€ into debt to have 99% probability of winning 1 M€ as you need to be prepared to double in case you lose to win back your money and reach your goal. Your expectation value is always negative as you are likely to lose quite a lot when you do, but if you happen to have access to 127 M€, your chances of winning 1 M€ are approx. 99%.

A rational agent should never bet on negative expectation value, but given 99% rate of success, how many of us wouldn't? Besides of course banks and such to whom 127 M€ is nothing and only cumulative long term profits matter.

European roulette has slightly better odds than American since European has only one 0 instead of two (0 and 00). I wonder what's the limit in Monte Carlo?

If you have only 7 M€ limit (and start with 1 M€ bet), your chances of winning 1 M€ are still around 86%. If you have 100 k€ debt limit and start with 100 k€ bet, your chances of winning 1 M€ are 5.6%.

Beware the Barrenness of a Busy Life

clear all

MAXDEBT = 127;

for x = 1:1e6                       % test the strategy

    money = 0;                      % start with no money

    bet = 1;                        % starting bet

    while money < 1                 % play until you made 1 unit

        money = money - bet;        % bet

        if rand < 18/37             % roulette (18 red, 18 black and 0)

            money = money + 2*bet;  % if you win, you win double your bet

        end                         % otherwise lost the bet

        bet = 2*bet;                % double the bet after each round

        if money-bet<-MAXDEBT       % stop if at the limit

          break;

        end

    end

    mon(x) = money;

end

Ex = mean(mon)                      % ~ -0.2

MIN = min(mon)                      % -127

Pwin = sum(mon>0)/x                 % ~ 0.99

The simplest acts of kindness are by far more powerful than a thousand heads bowing in prayer.

Our understanding of the arbitrary biological origin of morality does not determine our willingness to act morally. Subscribing to moral nihilism does not pose any problem. We've evolved to become moral creatures, and that's just the way we are even if such is ultimately arbitrary. There's nothing wrong in killing on some cosmic scale. Right and wrong are not properties of the universe, they are properties of living feeling creatures. Things that are wrong to us, are so because that's the way our species is (for the most part). This is due to our common history and to the extent that we don't share some values then that is just an argument against objective morality. This does not mean we should stop feeling, teaching of morality or punishing the guilty (or at least managing crime and human behavior). It just means morality is a functional state of our species (and to an extent our ecosystem).

It is not inconceivable that a species might exist that would accept murder (or something like that) as part of their daily lives (though it would likely need to exist under circumstances that would not be harmful or would even be beneficial for the survival of that species). Who are we to say it's wrong if every single individual of that species thinks it's right and it serves their survival.

We are not such a species and to kill another human is almost universally considered unacceptable and harmful by humans (for practical good reasons in my opinion). It is also a matter of how such things make us feel. Even if feelings are arbitrary, they are a property we possess and they are closely related to our conscious experience. They are also what makes us individuals and in my opinion we should proudly embrace our individuality, because what else is life and consciousness besides embracing ones own complexities and experience (which to some degree includes that which we call the external world)?

I almost always value the autonomy of any creature over their own lives above anything else. Some people possess values that may conflict mine. When it comes down to the basics, there is not much more to it. A particular value in vacuum is not irrational as such, but often poor reasons are given. Rationalization in general is not difficult and people love to do it, but what is less often discussed is that reasons aren't necessarily needed. Having them and thinking that's all there is might in fact make things worse. People try to rationalize arbitrary emotional values when in fact doing so and being ignorant of the arbitrary emotional basis is a sign of irrationality. Rationalization matters only to the extent that conflicting values are held. Sometimes, however, two people might have conflicting values without holding any conflicting values of their own. One might think this would be the only reason for war. To defend ones way of life against someone whose highest priority is to eliminate your way of life and replace it with something you can never accept. However, from what I know that has never been the primary reason for war. Go figure.

Values become interesting (or even problematic) only after you find the continued existence of your way of life is contributing harm to others or in general you find that your way of life is in conflict with your values. You are forced to weigh the value of your particular experience relative to how much you value that of others. You can try to do balancing, give up something that you don't value that much, but eventually you might reach funny conclusions such as that your particular experience or even existence isn't justified even on the scale of your own species, let alone on some cosmic scale. Then again, you are too small to know this to be true, but as you have nothing but your own faculties of reasoning to arrive at a conclusion, you are forced to arrive at one anyway. Unfortunately after you follow all the lines of reasoning you might still find it's all irrelevant and arbitrary. Sometimes all that matters is that which feels right. Thank goodness we appear to have something resembling the idea of conscience and intrinsic will to live, at least some if not most of us.

What if existence of suffering is necessary for consciousness to exist?

Fractals on Arduino Nano with fixed-point arithmetic today...

These small 128x64 monochrome OLED displays were 3.2 euros from ebay.

Serial output from the board as seen by minicom in linux.

Scientific knowledge is that which is useful for making predictions, everything else is just something else.

This 16 MHz board costs 2.2 euros in ebay.

/* avr-gcc -Os mandelbrot.c -mmcu=atmega328p -o program.elf

 * avr-objcopy -O ihex -R .eeprom program.elf program.hex
 * avrdude -c arduino -b 57600 -P /dev/ttyUSB0 -p atmega328p -vv -U flash:w:program.hex
 * (apt-get install avrdude gcc-avr avr-libc)
 */

#define F_CPU 16000000UL
#define BAUD 115200

#include <avr/io.h>
#include <stdio.h>
#include <util/delay.h>
#include <util/setbaud.h>

putch(char a) {
  loop_until_bit_is_set(UCSR0A, UDRE0);
  UDR0 = a;
}

int main() {
  int x, y, n, F = 1e3;
  long x0, x1, x2, y0, y1, y2;

  UCSR0A |= _BV(U2X0);
  while(1) {
    for(y=0; y<23; y++) {
      for(x=0; x<80; x++) { 
        x0 = F*6*x/80 - 7*F/2;
  y0 = F*6*y/23 - 3*F;
  x1 = 0;
  y1 = 0;
  n = 0;
  while(sqrt(x1*x1+y1*y1) < F*8 && ++n < 64) {
          x2 = x1*x1/F - y1*y1/F;
          y2 = 2*x1*y1/F;
          x1 = x2 + x0;
          y1 = y2 + y0;
  }
        putch(32+n);
      }
      putch('\r');
      putch('\n');
    }
    putch(27);
    putch('[');
    putch('H');
  }
}


With the OLED display...


int mandelbrot(long xx, long yy) {
  long x0, y0, x1, y1, x2, y2;
  int n, F = 1000;
  
  x0 = F*3*xx/128 - 7*F/2;
  y0 = F*3*yy/64 - 3*F/2;
  x1 = 0;
  y1 = 0;
  n = 0;
  while(sqrt(x1*x1+y1*y1) < F*8 && ++n < 11) {
    x2 = x1*x1/F - y1*y1/F;
    y2 = 2*x1*y1/F;
    x1 = x2 + x0;
    y1 = y2 + y0;
  }
  return n;
}

void loop() {
  unsigned char x, y, z, c;
  int xx, yy;

  for(y=0; y<8; y++) {
    LED_WrCmd(0xb0+y);
    LED_WrCmd(0x00);
    LED_WrCmd(0x10);
    xx = 0;
    for(xx=0; xx<256; xx++) {
      z = 1;
      c = 0;
      for(x=0; x<8; x++) {
        yy = x+y*8;
        if(mandelbrot(xx, yy)>10)
          c = c + z;
        z = 2*z;

      }
      LED_WrDat(c);
      xx++;
    }
  }

}

I realized that there's a big difference between deciding to leave and knowing where to go.

So apparently I was bored so I wrote a program in C that numerically simulates time evolution of the Schrödinger equation and a wave packet tunneling through a potential barrier. Nothing unusual, but to make it a bit harder, I decided that I will also write my own basic functions such as exponential function, square root and sine using nothing but standard additions, subtractions and multiplication. I also didn't replicate any known algorithm (at least not intentionally), but instead just improvised something (inefficient).

Gif compression is a bit funny, but you get the point. Simulation done by a C program, data plotted in matlab.

// #include <math.h>
#include <stdio.h>

#define PI 3.14159265358979323846264338327950288419716939937508

struct mycomplex {
  double real;
  double imag;
};

/* e^x is a function that grows at a rate proportional to its value */
/* really inefficient, but there's a more efficient one with taylor series below */
double r_exp(double x) {
  double r = 1;
  if(x>0)
    for(double y=0; y<x; y+=0.000002)
      r = r + r*0.000002;
  if(x<0)
    for(double y=0; y>x; y-=0.000002)
      r = r - r*0.000002;
  return r;
}

/* my routine for natural logarithm as inverse of e^x similarly to sqrt */
double my_log(double x) {
  double low = 0;
  double high = x;
  double neg = 1;
  if(x<1) {
    x = 1/x;
    high = x;
    neg = -1;
  }
  double value = (low + high)/2;

  for(int i=0; i<30; i++) {
    if(r_exp(value) < x)
      low = value;
    else
      high = value;
    value = (low + high)/2;
  }
  return neg*value;
}

/* x^y */

double my_pow(double x, double y) {
  return r_exp(y*my_log(x));
}

/* abs(x) */
double my_abs(double x) {
  if(x<0)
    return -x;
  else
    return x;
}

/* my routine for sqrt */
double my_sqrt(double x) {
  double low = 1;
  double high = x;
  double root = (low + high)/2;
  if(x<1) {
    low = x;
    high = 1;
  }
  for(int i=0; i<30; i++) {
    if(root*root < x)
      low = root;
    else
      high = root;
    root = (low + high)/2;
  }
  return root;
}

/*
double my_sqrt(double x) {
  return my_pow(x, 0.5);
}
*/

/* function for taking a modulo for floating point numbers */
double my_fmod(double in, double n) {
  if(in<0)
    n = -n;
  while(in>n)
    in += n;
  return in;
}

/* my routine for sine */
double my_sin(double a) {
  double l = 0, x0 = 0, y0 = 1, x = 0, y = 1, neg = 1.0;

  /* utilize symmetries to only calculate quarter */
  while(a<0) {
    a = a + 2*PI;
  }
  a = my_fmod(a, 2*PI);
  if(a>PI) {
    neg = -neg;
    a = 2*PI-a;
  }
  if(a>PI/2)
    a = PI-a;

  /* integrate perimeter length until it corresponds to given angle */
  while(l<a) {
    x = x + 0.000005;
    y = my_sqrt(1-x*x);
    l = l + my_sqrt((x-x0)*(x-x0)+(y-y0)*(y-y0));
    x0 = x;
    y0 = y;
  }

  return neg*x;
}

/* integrate the perimeter length until x/y corresponds to r */
double my_atan(double r) {
  double l = 0, x0 = 0, y0 = 1, x = 0, y = 1;
  while(x/y<r) {
    x = x + 0.000002;
    y = my_sqrt(1-x*x);
    l = l + my_sqrt((x-x0)*(x-x0)+(y-y0)*(y-y0));
    x0 = x;
    y0 = y;
  }
  return l;
}

/* my routine for multiplying two complex numbers */
struct mycomplex my_mul(struct mycomplex a, struct mycomplex b) {
  struct mycomplex out;

  out.real = a.real * b.real - a.imag * b.imag;
  out.imag = a.imag * b.real + a.real * b.imag;

  return out;
}

/* my routine for taking exp(z), where z is complex valued vector */
struct mycomplex my_exp(double real, double imag) {
  struct mycomplex out;

  out.real = r_exp(real)*my_sin(imag+PI/2);
  out.imag = r_exp(real)*my_sin(imag);

  return out;
}

/* my routine for constructing linear real valued vector */
my_linspace(double a, double b, int n, double out[]) {
  double df = (b-a)/(n-1);
  double f = a;
  for(int i=0; i<n; i++) {
    out[i] = f;
    f = f + df;
  }
}

main() {
  double k[800];
  struct mycomplex diff2[800];
  struct mycomplex tmp;
  struct mycomplex tmpb;
  struct mycomplex psi[800];
  struct mycomplex potential[800];

  /* just for testing of accuracy */
  /*
  printf("my_sqrt(2)=%f sqrt(2)=%f\n", my_sqrt(2), sqrt(2));
  printf("my_sin(pi/4)=%f sin(pi/4)=%f\n", my_sin(PI/4), sin(PI/4));
  printf("4*my_atan(1)=%f 4*atan(1)=%f\n", 4*my_atan(1), 4*atan(1));
  printf("my_exp(1)=%f exp(1)=%f\n", r_exp(1), exp(1));
  printf("my_exp(-1)=%f exp(-1)=%f\n", r_exp(-1), exp(-1));
  exit(0);
  */

  /* prepare a potential barrier */
  for(int i=0; i<800; i++) {
    potential[i].real = 0;
    potential[i].imag = 0;
  }
  for(int i=390; i<410; i++)
    potential[i].real = 0.05;

  my_linspace(0, 50, 800, &k);

  /* prepare initial wave function */
  for(int i=0; i<800; i++) {
    psi[i].real = r_exp(-0.07*(k[i]-12)*(k[i]-12));
    tmp = my_exp(0, -900*k[i]);
    psi[i] = my_mul(psi[i], tmp);
    psi[i].real = psi[i].real/8.7;
    psi[i].imag = psi[i].imag/8.7;
    // printf("%f\n", i/800.0);
  }

  /* evolve */
  for(int t=0; t<2000000; t++) {
    diff2[0].real = 0;
    diff2[0].imag = 0;
    for(int i=1; i<799; i++) {
      diff2[i].real = (psi[i+1].real-psi[i].real)-(psi[i].real-psi[i-1].real);
      diff2[i].imag = (psi[i+1].imag-psi[i].imag)-(psi[i].imag-psi[i-1].imag);
    }
    diff2[799].real = 0;
    diff2[799].imag = 0;
    for(int i=0; i<800; i++) {
      tmp = my_mul(potential[i], psi[i]);
      tmpb.real = diff2[i].real - tmp.real;
      tmpb.imag = diff2[i].imag - tmp.imag;
      tmp.real = 0;
      tmp.imag = 0.001;
      tmp = my_mul(tmp, tmpb);
      psi[i].real = psi[i].real + tmp.real;
      psi[i].imag = psi[i].imag + tmp.imag;
    }
    if(t%1000==1) {
      for(int i=0; i<800; i++)
printf("%f, %f\n", psi[i].real, psi[i].imag);
    }
  }
}

--

Actually, you only need complex valued exponential function and some iterative inversions to calculate pretty much anything (normal).

--
#include <math.h>
#include <stdio.h>
#include <complex.h>

#define PI 3.14159265358979323846264338327950288419716939937508

/* iteratively invert a growing function with a and b as limits */
double inv(double (*f)(), double x, double a, double b) {
  for(int i=0; i<20; i++)
    if(f((a+b)/2)<x) a = (a+b)/2;
    else b = (a+b)/2;
  return (a+b)/2;
}

/* integrate from definition: e^z = de^z/dz, z^0 = 1 */
double complex my_exp(double complex z) {
  double complex v = 1;

  for(double a=0; a<1; a+=1/1e5)
    v = v + v*(z/1e5);
  return v;
}

/* more efficient (taylor series), less intuitive e^z */
double complex alt_exp(double complex z) {
  double complex v = 1, w = 1;
  for(int k=1; k<20; k++)
    v += (w*=z/k);
  return v;

}

double real_my_exp(double x) { return creal(my_exp(x)); }

double my_log(double x) {
  if(x<1) return -my_log(1/x);
  return invert(real_my_exp, x, 0, x);
}

double my_sq(double x) { return x*x; }

double my_sqrt(double x) {
  if(x>1) return invert(my_sq, x, 1, x);
  return invert(my_sq, x, x, 1);
}

double my_sin(double x) { return cimag(my_exp(I*x)); }
double my_cos(double x) { return creal(my_exp(I*x)); }
double my_tan(double x) { return my_sin(x)/my_cos(x); }
double my_cot(double x) { return my_cos(x)/my_sin(x); }
double my_pow(double x, double y) { return creal(my_exp(y*my_log(x))); }
double my_sinh(double x) { return (creal(my_exp(x))-creal(my_exp(-x)))/2; }
double my_cosh(double x) { return (creal(my_exp(x))+creal(my_exp(-x)))/2; }
double my_tanh(double x) { return my_sinh(x)/my_cosh(x); }
double my_coth(double x) { return my_cosh(x)/my_sinh(x); }
double my_log10(double x) { return my_log(x)/my_log(10); }

double my_atan(double x) {
  if(x<0) return -my_atan(-x);
  return invert(my_tan, x, 0, 1.6); /* 1.6 is just some value above pi/2 */
}

double my_asin(double x) { return my_atan(x/my_sqrt(1-x*x)); }
double my_acos(double x) { return 2*my_atan(1)-my_atan(x/my_sqrt(1-x*x)); }

/* alternative sin by integration of perimeter until y corresponds to a*/
double alt_sin(double a) {
  double c, x = 1, y = 0, xn = 1, yn = 0, l = 0, dl;

  /* utilize symmetries */
  while(a<0) a = a + 2*PI;
  while(a>2*PI) a = a - 2*PI;
  if(a>PI) return -alt_sin(2*PI-a);
  if(a>PI/2) return alt_sin(PI-a);

  /* integrate the perimeter length */
  while(l<a) {
    x = x - 1e-5;
    y = sqrt(1-x*x);
    dl = sqrt((x-xn)*(x-xn)+(y-yn)*(y-yn));
    l = l + dl;
    xn = x;
    yn = y;
  }
  return y;

}

/* alternative atan by integrating the perimeter length until x/y corresponds to v */
double alt_atan(double v) {
  double l = 0, x0 = 0, y0 = 1, x = 0, y = 1;
  if(v<0) return -alt_atan(-v);
  while(x/y<v) {
    x = x + 1e-5;
    y = sqrt(1-x*x);
    l = l + sqrt((x-x0)*(x-x0)+(y-y0)*(y-y0));
    x0 = x;
    y0 = y;
  }
  return l;
}

/* discrete Fourier transform: F(w) = sum(f(t)e^(-iwt)) */
int dft(double complex *a, double complex *b, int n) {
  for(int m=0; m<n; m++) {
    b[m] = 0;
    for(int t=0; t<n; t++) /* w = 2*PI*m/n */
      b[m] = b[m] + a[t]*cexp(-I*2*PI*m*t/n); /* (a+bi)*(c+di) */
  }
}

/* more efficient, less intuitive Fourier transform */
int fft(double complex a[], double complex b[], int n, int step) {
  double complex t;
  if(step==1) for(int i=0; i<n; i++) b[i] = a[i];
  if(step<n) {
    fft(b, a, n, step * 2);
    fft(b + step, a + step, n, step * 2);
    for(int i=0; i<n; i+=2*step) {
      t = cexp(-I*PI*i/n)*a[i+step];
      b[i/2] = a[i]+t;
      b[(i+n)/2] = a[i]-t;
    }
  }
} /* notice that this fft alters the input vector */

int main() {
  double complex a[] = {1, 2, -1, 4};
  double complex b[4];

  printf("Function  \tMy        \tC       \tAlt\n");
  printf("exp(1)    \t%f\t%f\t%f\n", creal(my_exp(1)), exp(1), creal(alt_exp(1)));
  printf("exp(-1)   \t%f\t%f\t%f\n", creal(my_exp(-1)), exp(-1), creal(alt_exp(-1)));
  printf("sqrt(2)   \t%f\t%f\n", my_sqrt(2), sqrt(2));
  printf("sqrt(0.5) \t%f\t%f\n", my_sqrt(0.5), sqrt(0.5));
  printf("log(2)    \t%f\t%f\n", my_log(2), log(2));
  printf("log(0.5)  \t%f\t%f\n", my_log(0.5), log(0.5));
  printf("atan(1)   \t%f\t%f\t%f\n", my_atan(1), atan(1), alt_atan(1));
  printf("atan(-1)  \t%f\t%f\t%f\n", my_atan(-1), atan(-1), alt_atan(-1));
  printf("\n");

  dft(a, b, 4);
  printf("Discrete Fourier Transform of 1 2 -1 4\n");
  for(int i=0; i<4; i++)
    printf("%f\t%f\n", creal(b[i]), cimag(b[i]));
  printf("\n");

  printf("Fast Fourier Transform of 1 2 -1 4\n");
  fft(a, b, 4, 1);
  for(int i=0; i<4; i++)
    printf("%f\t%f\n", creal(b[i]), cimag(b[i]));
}

Being present is being connected to All Things.

If the many worlds interpretation of quantum mechanics is in fact true then the universe is deterministic, but we are faced with an interesting philosophical question of identity. Since all possible outcomes exist simultaneously, it's not surprising we find ourselves asking and existing as the question must be asked by those who exist, can and do ask it, wherever and whenever. However, why exactly does our life as an individual take this particular path instead of some other? For physics they're all equal. Futhermore, if time doesn't truly exist, why/how do we experience present and flow of time?

True free will cannot exist in a deterministic universe and therefore our path cannot be determined by one. If there existed no subjective experience of specific consciousness then the question would perhaps vanish. From purely physical point of view, I suppose there doesn't have to be anything special about every possible past, present and future existing simultaneously, but from the point of view of our consciousness, it's deeply mysterious. It may of course be that in some way consciousness is just an illusion and there is nothing special about this particular experience. Though, the illusion does appear to be extremely convincing.

--

Occasionally one runs into discussions about the simulation argument according to which we almost certainly live in a simulation because if simulations are possible and run then there are going to be very large amounts of them. While this is certainly somewhat entertaining argument, there isn't particularly much one can deduce from it. Whether we are in a simulation or not tells us nothing about where these simulations ultimately originate from and also doesn't tell us anything about our place in the hierarchy of the simulations (for example how deep we are from the fundamental underlying universe), unless of course we can somehow acquire empirical knowledge concerning them.

Quinine in tonic water converting 405nm (violet) laser light into 450nm (blue) by fluorescence. Diluting tonic water down to a single quinine molecule should allow antibunching to be observed by a detector capable of resolving single photons on timescales less than fluorescence lifetime of 20ns. Only a single photon from a single emitter on average within fluorescence lifetime can be emitted regardless of the number of photons in the exiting laser pulse.

Also, what might be worth considering is that at least in this particular universe (or simulation) all systems whether they be simulations or not, appear to interact with their environment to some extent and it is in fact impossible to create a perfectly isolated systems. This is why for example row hammer exploit [https://en.wikipedia.org/wiki/Row_hammer] is possible. Therefore no simulation is fundamentally any different from just a weakly coupled system in the most fundamental underlying universe. In certain sense creatures living in a simulation are then nothing more than caged animals born in captivity. Not that different from what we are now (as we are also caged by at least the limits of our current physical bodies and consciousness). Of course no particular reason why this couldn't change in the end.