Posts by E2

Re: Would you like another dimension with that, sir!

My take on this, FWIW. In the simplest, non-QM, view of black holes, they are violating determinism. The matter collapses to a singularity, which can't have structure, so history is lost, just the parameters set by physical conservation laws - mass-energy, charge, angular momentum etc. being retained. Physically, we don't expect a singularity, as QM will kick in. So, at this level, the "black-hole paradox" is a bit hype-ish. Physical theory breaks down at the limit where you expect it to break down at. Challenge for the Hawkings of this world is to introduce QM in ways that recover the features we expect in a consistent theory.

Re: @h4rm0ny

"How that does that make the outcome of the collision that preceded particle Y going into the black hole non-deterministic?"

It makes the dynamics of the coupled X,Y and black-hole system non-D, at least under any time reversal symmetric dynamics.

Re: Would you like another dimension with that, sir!

Once you start talking QM and GR together, it's above my degree grade as well ( Unification of these 2 is one of, if not the, unresolved issues in physics ).

As normally presented, QM is a touch internally inconsistent. One the one hand, the microscopic systems' dynamics when isolated are deterministic. Coupled microscopic systems are also detirministic. But when mixed states are forced by measurement ( executed by classical, macroscopic apparatus ) to chose between eigenstates, the wavefunction collapse - Dirac jump - is acausal. I.e. non-detirministic. This fundamental acausality ( no hidden variables ) is experimentally supported using Bell's theorem.

Problem is, the classical aperatus, experimental observer, etc. are made up of coupled atoms and molecules, etc. Analysed from this angle, how, where, and when do their consituent coupled deterministic systems suddenly and mysteriously exibit acausality ?

There is some interesting stuff on " thermodynamically irreversable quantum decoherence" which addresses this. But whether fully or just partially, I'm not up to knowing. Unfortunately (IMO) it hasn't made it into the non-specialist narrative.

Re: information conservation

The observed reality of a prefered time direction is a statistical thermodyamic (entropy) effect. It doesn't conflict with the maths of time reversal symmetry on the micoscopic level.

Re: information conservation

A theory is deterministic if, given the (full specification of) the state of any isolated system at a specified time, then the equations of motion (or equivalent) have one and only one solution at a future specified time.

This is the same as saying that all of the information on future (and past) states of the system is encoded in the state of the system at a specific instance.

Loss of information would destroy the 1-to-1 deteriministic mapping.

Re: information conservation

PS. Underlying equations are usually time-reversal symetric, so inconsistent with 1-way deteriminism.

Re: Roads....

They intend doing this. What do you think thegovernment' interest in automated cars, MaaS, etc. is.