Recent content by Roberto Pavani

  1. Roberto Pavani

    Undergrad Please Explain (actually explain) The Monty Hall Problem

    I'm amazed by the length of this thread. In a sense, it confirms what I've often thought about statistics and probability: the rules themselves are actually quite simple compared to many other areas of science, yet they are extremely counterintuitive. The mistake is usually not in the...
  2. Roberto Pavani

    Undergrad Meaning of division by non-whole real numbers

    It depend how "ancients" note that negative numbers didn't exists because negative area was not understood. Even zero wasn't accepted in very ancient math
  3. Roberto Pavani

    Amateur question about the Double Slit Experiment

    The experiment already assumes a source, a double slit and a screen. If particles reach the screen, they alter its physical state. Whether a human later looks at the result is a separate question. AFAIK, quantum mechanics predicts an interference pattern whenever no which-path information is...
  4. Roberto Pavani

    Undergrad Does the steady-state model resolve Olbers' paradox?

    It seems to me that expansion alone does not necessarily prevent light from eventually reaching us. For example, consider an expanding universe with scale factor ##a(t)=t\log t##. This is still an accelerating expansion because ##a''(t)=\frac{1}{t}>0##. However, ##\int^\infty...
  5. Roberto Pavani

    Undergrad Meaning of division by non-whole real numbers

    As a humble engineer, I think there's both a counting bias and a decimal bias here. We are taught to think of numbers mainly as counts of objects, and later as decimal expansions, so division tends to be associated with splitting things into a whole number of groups. But division by a real...
  6. Roberto Pavani

    Undergrad If gravity is emergent, how does this affect string theory and loop quantum gravity?

    Thank you for posting this. My reading may be incomplete, but I see it primarily as a derivation of the Einstein equations from information-theoretic considerations, rather than a derivation of spacetime itself. The framework seems to start from a setting where local horizons, causal structure...
  7. Roberto Pavani

    Graduate Gerry and Knight solution to single-mode Maxwell equation

    I'll try to answer as best I can. For the first part, the "missing ω" is effectively hidden inside the definition of q(t). In the quantized theory, ## q=\sqrt{\frac{\hbar}{2\omega}}(a+a^\dagger), ## so q already contains a factor ##1/\sqrt{\omega}##. For the second part, it seems to me that...
  8. Roberto Pavani

    Undergrad What happens to a person's body in space without a spacesuit?

    If protected by everything else but only exposed do "near zero pression": https://it.wikipedia.org/wiki/Sojuz_11
  9. Roberto Pavani

    Undergrad "The wavefunction never collapses"

    Thank you, this is very helpful. I agree that for p = 1/2, branch counting and Born Rule coincide. I note that with p = 1/2, the "set of measure zero" are the extremes (all-0 and all-1 sequences). But for p ≠ 1/2, Shannon's AEP tells us the scenarios invert: with branch counting, it is the...
  10. Roberto Pavani

    Undergrad "The wavefunction never collapses"

    Thank you for suggesting I look at the math. Revisiting the thread and PeroK's comment #10, it occurred to me that this might connect to information theory. So I did some calculations (possibly wrong, I studied Shannon 40 years ago, so please correct me if needed). For a process with ##p...
  11. Roberto Pavani

    Undergrad "The wavefunction never collapses"

    Thank you, I'll study the math and will do some simulations with qiskit. I appreciate everyone's patience with my questions.
  12. Roberto Pavani

    Undergrad "The wavefunction never collapses"

    Thank you for clarifying that it is (b). I accept the correction on EPR. But I still have a question about the mechanism in (b): you said "the wave function already contains all outcomes and correlations, there is nothing to decide." If everything was already there before the measurement, what...
  13. Roberto Pavani

    Undergrad "The wavefunction never collapses"

    Let me clarify: either (a) the outcome was already assigned to each branch before measurement; natural, but operationally a hidden variable; (b) the branches form at measurement and "decide" their outcomes at that moment, correlated with each other (one gets 0 because the other gets 1). In case...
  14. Roberto Pavani

    Undergrad "The wavefunction never collapses"

    Do you mean no from the perspective of an observer inside a branch or from an "ideal global observer" "outside" the branches ?
  15. Roberto Pavani

    Undergrad "The wavefunction never collapses"

    If nothing in the theory determines which branch you end up in, yet you end up in one, isn't that precisely the definition of "incomplete" in the EPR sense?