Skip to main content

A Simple Mathematical argument against Everett

Any question that we can formulate using quantum mechanics, like the expectation value of an electron's spin in two different states simultaneously, can be given an answer. Simply we can state it as being


P is the projection operator, so that it is a product of two other projection operators on the state of an electrons spin. Such that


These are both projection operators but on a subspace. So that the expectation value of the electron in state "up" corresponding to the first projection operator and expectation value of the electron in the state "down" corresponding to the second projection operator, are both one if the projection operator P is one. So that we have


Given that


We should see that 


We then have an answer for the probability of finding the electron in both states simultaneously


The probability of finding the electron in both the spin up and the spin down state is zero. By contrast the Everett or Many Worlds Interpretation imagines that both states of the electron are equally real in parallel branches of the wave function which would surely correspond to a value of one not zero. We then see that the error in the Everett interpretation is that they misidentify the logical conjunction as something other than binary multiplication. The principles of quantum mechanics as it is standard to formulate them and the Everett Interpretation are two proposals that should then be taken as incompatible. 

Comments

Popular posts from this blog

Margaret Thatcher's Legacy for Britain

The following is an adaptation of my thoughts at UCL's Conservative Society some months ago concerning the issue of the Conservative Parties vote of no confidence that lead to the resignation of Margaret Thatcher, her legacy for Britain and why she's so undeserving hated by the hard left.


When one enters parliament through members lobby there are four prime ministers commemorated and immortalized in statue form. The first of these figures, David Lloyd George seeded the beginnings of the welfare state, the second Winston Churchill served his tenure protecting us from physical annihilation during the Second World War, the third, Clement Attlee nationalized the health service and sought to drive Britain down the road of socialism and the fourth, the late Baroness Thatcher brought great economic revolution at the end of the Cold War.

It's been said of British politics that these last two figures though diametrically opposed were the only elections that ever really mattered. B…

Can inflation be eternal into the past?

Back in 2003 a paper appeared on the arXiv titled "Inflationary spacetimes are not past complete" that was published by Arvind Borde, Alan Guth and Alexander Vilenkin which has had considerable amounts of attention online. The theorem is rather uninteresting but simple and doesn't require a very complicated understanding of math. So I thought I'd explain the result here.

It's purpose is to demonstrate that inflationary models are geodesically incomplete into the past which they take as "synonymous to a beginning" but Vilenkin stresses that the theorem can be extended to non inflationary models so long as the condition of the theorem that the average rate of expansion is never below zero is met. These models too then are incomplete into the past. Consider the metric for an FRW universe with an exponential expansion


Where the scale factor is


Since the eternal inflation model is a "steady state cosmology" the mass density and the Hubble paramet…

'Don't boo Labour, vote Conservative!' #ImWithHer

"My pitch is very simple, I'm Theresa May and I believe I'm the best person to be Prime Minister"

In an election one doesn't always get the option of voting for their primary candidate, for me that's been the case here. Originally I had supported Michael Gove and then Andrea Leadsom for leadership of the Conservative party but on June 8th we're expected to choose between Theresa May and Jeremy Corbyn. Whatever you think of the two personally, the choice of who offers better governance couldn't be clearer.

The most notable part of Jeremy Corbyn's "leadership" has been his support for the outrageous and policies of the far left. He supports the unilateral disarmament of British nuclear weapons, while supporting the right of Iran to have its own unrestricted nuclear program. He's had an industrial policy to nationalize the mining of coal but not to burn coal, and supports self-determination for the people of Palestine but not for the p…