Kinda cool, that the interpretation that measurements splits into quantum realities, and then these realities themselves are entangled, thus only those that correlated to each other can merge again to form the correlated outcome
"The functional $J_{\gamma}[y] = \int_{x_0}^{x_1} F(x,y,y')dx, \ y = (y_1,...,y_n),$ where $\gamma$ is a curve described by $y = y(x)$ on $x_0 \leq x \leq x_1$, is said to be invariant under the transformation $$ x^* = \Phi(x,y_1,...,y_n,y_1',...,y_n') = \Phi(x,y,y'),$$ $$ y_i^* = \Psi_i(x,y_1,...,y_n,y_1',...,y_n') = \Psi_i(x,y,y'),$$ carrying $y = y(x)$ on $x_0 \leq x \leq x_1$ into $y^* = y^*(x^*)$ on $x_0^* \leq x^* \leq x_1^*$, when $J_{\gamma^*}[y^*] = J_{\gamma}[y]$, i.e. $$ \int_{x_0^*}^{x_1^*} F(x^*,y^*,y'^*)dx^* = \int_{x_0}^{x_1} F(x,y,y')dx."$$
There may be possible super quantum mechanics because intermediate size entangled systems may happened to correlate with some similar system on the other side of the galaxy, resulting in outcomes that deviates from the Born Rule
This suggestion, kinda reminds my discussion with semiclassical some time ago, on how the ontology of bohmian trajectories, may open up an interesting possibility to take advantage of quantum potentials already present in the environment that is located far away from the laboratory, to guide the experiment trajectories to their desired place and to map the environement's wavefunction
The way events fuse to give new events of higher diversity also reminds of the philosophy discussion I had in uni on the nature of creativity, which abstractly, can be said to be lots of pre potentialities intersect like lines in a vast space, and produce a potential new idea that can then be actualised, or a plane where there are many expanding white spheres, and whenever they intersect, a new sphere grew at the intersection, take traits of all those involved
It also reminds of that philosophy of time discussion in last week's newscientist event, and that this model may be compatible with that model of time where the flow of time is produced by how we arrange information in our brain in a sequence
It also reminds of causal dynamics triangulation and tensor networks in quantum gravity (and indeed, their model also have traits of those theories)
Finally, I wonder what will happen if we nuke postulate 3 and allow causality to flow backwards...
pinging @vzn because he love superquantum mechanics
After reading and commenting on this question PHP Library for Keeping your site index by Google, Bing, etc, I was curious to look at StackOverFlow's sitemap. This returned a 404 error which I am guessing is just a protected page by determining if your are a Index Bot or simply doesnt exists.
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I just read this argument in this paper (PDF).
It suggests that, from variational principles, you can show that you can always lower the energy of a state by making the phase constant, thus resulting in a ground state that must have no phase change. I know this to be true for 1D systems (ground ...
@Secret hi whats new? a paper coauthored by smolin, legendary contrarian. have read some of his ideas, he has a new interview in quanta. cant yet feel close resonance with his research directions but think hes ahead of the pack in some slippery-to-pin-down ways. believe hes very close to discovering fluid paradigm under different terminology. leveraging google, here black box ML algorithm (philpapers) finds information flow in related papers to his. philpapers.org/rec/SMOTDO-2
well, an ensemble of events recovered the quantum potential, which has a fluid like interpretation
it will be more interesting on how uncountably many far away but very similar events (and hence has to be in a superposition in some way according to his postulates) behave, because then we can truly get serious on a nonlocal causal fluid which spacetime then emerge from it
I wonder what properties will that kind of spacetime have, a spacetime made entirely of these superquantum units...
the ideas remind me of some of wheelers directions about information as a fundamental quantity and geometrodynamics, the influence is detectable. smolin also seems to have some affinity for bohmian mechanics. on other hand he seems to invent a lot of new concepts.
Typical of Smolin. He has a wealth of ideas from background independent physics to universe under Darwin evolution
I like when people invent new concepts. Getting stuck in the status quo can get stagnant
But one also need to be cautious, like those dark matter theorists have invented a zoo of particles, but they all basically are variants of the same thing
and none of them show up in the detectors so far (other than a sinusoidal modulation of unexplained nature)
Some recent trends are more encouraging, such as going beyond the axion and WIMP paradigm, and start thinking about larger scale effects
> Fundamentally there are amplitudes for causal processes in energetic causal sets, but no space-time. An embedding of the causal processes in an emergent space-time arises only at the semiclassical level. Hence, fundamentally there are no commutation relations, no uncertainty principle and, indeed, no ℏ. > All that remains of quantum theory is the relationship between the absolute value squared of complex amplitudes and probabilities. Consequently, we find that neither locality, nor non locality, are primary concepts, only causality exists at the fundamental level.
I think its more important than ever to talk about the philosophy of physics. So many puzzling findings recently that defy comprehension, and philosophy may be the missing component
That's one reason I enjoy reading these background independent physics models. It free us from the constraint of spacetime to think of something more radical
oh wow missed his recent book blurb. am sold, gotta buy this asap. borderline radical povs very similar to many espoused by me, great minds think alike, the naysayers/ skeptics are gonna freak/ flip out/ have seizure :) :P Einstein’s Unfinished Revolution—THE SEARCH FOR WHAT LIES BEYOND THE QUANTUM / By LEE SMOLINpenguinrandomhouse.com/books/316818/…
> In Einstein’s Unfinished Revolution, theoretical physicist Lee Smolin provocatively argues that the problems which have bedeviled quantum physics since its inception are unsolved and unsolvable, for the simple reason that the theory is incomplete. There is more to quantum physics, waiting to be discovered. > Our task–if we are to have simple answers to our simple questions about the universe we live in–must be to go beyond quantum mechanics to a description of the world on an atomic scale that makes sense.
This HNQ sorta makes me giggle: "Why don't they build airplanes from 3D printer plastic?" Last sentence of top answer: "So the brief answer is, they don't build airplanes from 3D printer plastic (or clay, or plaster, or thatch) because they want them to fly."
> Although you specifically mention 3D printing with plastics, 3D printing with metals is a growing field. Some boutique automotive companies are using 3D-printed titanium engine parts, because they can print structures that aren't achievable with machining, to reduce weight. Although this field is still immature - AFAIK there are no aviation-certified metal printers yet - you'll be flying with metal, 3D-printed aircraft parts within the next decade.
I don't know whether metal 3D-printed flight-critical hardware is in use in aviation, but if nothing else the Electron rocket uses the Rutherford engine, which is mostly 3D printed. — E.P.10 secs ago
Basically the relativistic action is $S = - c \int ds$ where $ds = \sqrt{\dot{x}^2} d \tau$ and $c$ is some constant which we determine by going to the non-relativistic limit which should give us the non-relativistic action, this is explained in Landau vol. 2 ch. 2
Pretty sure that $\varepsilon \Psi$ should be $e \Psi$
@Sebastiano You have been told before (with reference to this post) that we much prefer typed text and formulae over screenshots. Posting the screenshots in chat where they are not even linked to the question for other users is even worse. Please do consider making the effort of actually typing out the material you want to quote if you want others to invest the effort of answering your question.
To the relativistic action $S = - mc \int ds$ we add $- \frac{e}{c} \int A_{\mu} dx^{\mu} = - \frac{e}{c} \int (\phi,A_i) \cdot (c,c \mathbf{v}) d t $ which is your action with $\varepsilon = e$
@bolbteppa Can you put, an answer, please into my question? Thank you very much for your effort. I wanted an answer so I don't have to remember what you wrote in the chat room. Thank you very much.
After reading and commenting on this question PHP Library for Keeping your site index by Google, Bing, etc, I was curious to look at StackOverFlow's sitemap. This returned a 404 error which I am guessing is just a protected page by determining if your are a Index Bot or simply doesnt exists.
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