One way to see it is that each branch has the same cardinality, the continuum of configurations. What changes is the measure or weight of the branch, not how many elements it contains.
This measure is like a frequency of occurrence, telling you how often you find yourself in a branch compared to others, even though all branches exist equally in number. Because the total wavefunction stays complete, energy is conserved globally. Slicing it into branches doesn’t create or destroy energy, just like dividing an infinite set doesn’t change its cardinality, and slicing bread doesn’t change the total amount of bread. The measure acts like an ordering of outcomes by how often they appear, not by how many points the branch has. Quentin All those moments will be lost in time, like tears in rain. (Roy Batty/Rutger Hauer) Le ven. 4 juil. 2025, 21:20, Brent Meeker <[email protected]> a écrit : > > > On 7/4/2025 5:20 AM, John Clark wrote: > > *If someone is a big fan of the law of conservation of mass/energy then he > should also be a big fan of Many Worlds. This is because theories that > assume measurement induced wave function collapse is real, such as > Copenhagen, the expected energy range can change quite significantly. But > Many Worlds doesn't have that problem because there is no wave collabs, all > outcomes that are allowed by Schrodinger's equation continue and energy > remains conserved, globally and exactly. This is because the universal > quantum wave function is unitary, it evolves smoothly and no new > information is created or destroyed, the total quantum amplitude remains > constant but gets divided up among the different outcome branches. In the > same way slicing a loaf of bread into thinner and thinner slices does not > create more bread. * > > > Except that would imply the total energy of out slice of "world" has less > and less energy. Yet energy appears to be conserved at the classical > level. Curiously Sean Carroll wrote a paper claiming energy is not > conserved in QM and he proposed a possible test. > > Brent > > > *And as I've mentioned before, unlike the second law the first law of > thermodynamics is not some sacred testament that no physicist dare > question. Classical physics and Special relativity have a clear definition > of energy and a conservation law, * > > Energy is the variable conserved due to the invariance of physical laws > under time-translation; an application of Noether's theorem in classical > and SR physics. > > Brent > > *but General relativity doesn't even have a global definition of > "energy", much less a conservation law about it.* > > *John K Clark See what's on my new list at Extropolis > <https://groups.google.com/g/extropolis>* > *3d7* > -- > You received this message because you are subscribed to the Google Groups > "Everything List" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to [email protected]. > To view this discussion visit > https://groups.google.com/d/msgid/everything-list/CAJPayv1aD-_nQk94iSvE--0ZrXBzo%3DjzGKxiG8uqQiJ9fC1a0A%40mail.gmail.com > <https://groups.google.com/d/msgid/everything-list/CAJPayv1aD-_nQk94iSvE--0ZrXBzo%3DjzGKxiG8uqQiJ9fC1a0A%40mail.gmail.com?utm_medium=email&utm_source=footer> > . > > > -- > You received this message because you are subscribed to the Google Groups > "Everything List" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to [email protected]. > To view this discussion visit > https://groups.google.com/d/msgid/everything-list/5a2e5601-55c4-487f-bb08-dc1848b7bbb6%40gmail.com > <https://groups.google.com/d/msgid/everything-list/5a2e5601-55c4-487f-bb08-dc1848b7bbb6%40gmail.com?utm_medium=email&utm_source=footer> > . > -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion visit https://groups.google.com/d/msgid/everything-list/CAMW2kAoS6CJptmv9XwmyTv19_2n%3DMrmSoiO_rcOkA1AWv%2Bzx0w%40mail.gmail.com.
