One must bring in some basic notions of quantum theory if one wants to reduce de- and reconstruction to quantum physics. The key mathematical fact is that in quantum theory each particle in many-particle state corresponds to a tensor factor of state space of the entire system. This notion is very difficult to explain without actually having a lecture series about quantum theory and I prove in the following that this is indeed the case.
1. The space of quantum states of system is the basic notion: technically it is known as Hilbert space, which can have finite or even infinite dimension and also infinite dimension (and this in many senses!).
The basic idea is that one can build bigger Hilbert spaces as their tensor products. If you have Hilbert spaces of dimensions n1 and n2, the tensor product has dimension n1× n2. This is algebraically like multiplying numbers and one can indeed identify prime Hilbert spaces as those with prime dimension. Also direct sums of Hilbert spaces are possible.
Hilbert spaces represent physical systems: say electron and proton. To describe a world consisting of proton and electron one forms the tensor product of electron and proton Hilbert spaces. This is somewhat like playing with legos.
I was cheating a little bit. Life is not quite so simple. One can also form bound states of two systems - say hydrogen atom from proton and electron, and the bound states of hydrogen atom represent only a sub-space of the tensor product. Connes tensor product is more exotic example: only certain kind of entangled states in tensor product for which the composites are strongly correlated are allowed. As a matter of fact, also the gluing the legos together creates strong correlations between them so that it serves as a good analogy for Connes tensor product and tensor product assignable to bound states.
Adela Florence Nicolson (née Cory) was an English poet who wrote under the pseudonym Laurence Hope. Her father was employed in the British army at Lahore and she left for India in 1881 to join her father.In 1901, she published Garden of Kama, which was published a year later in America under the title India's Love Lyrics. She attempted to pass these off as translations of various poets, but this claim soon fell under suspicion. Her poems often used imagery and symbols from the poets of the North-West Frontier of India and the Sufi poets of Persia. She was among the most popular romantic poets of the Victorian and Edwardian eras. Her poems are typically about unrequited love and loss and often, the death that followed such an unhappy state of affairs. Many of them have an air of autobiography or confession. - Summary by Wikipedia
Weather Explained: Fog, clouds, rain, haze, thunder, cyclones, dew point and how to count dust motes are just a few of the 35 topics covered in short, easy to read and understand chapters in this book published in 1905. (Summary by phil chenevert)
Why has this unique type of fasting only become established in the past couple of years?It’s simple, the fat cats of our food industry establishment have billions riding on the outdated “3 square meals a day” lifestyle.And not only is this typical American lifestyle outdated, it’s downright dangerous!Inside you’ll discover:How to lose weight faster while intermittent fasting IBS pain? You can blame this common food 5 superfoods you can find at your local supermarketHow inflamed is your body right now? Exactly what to ask your doctor to find out the truth.How to increase autophagy without fasting for several days in a rowEat this “forgotten food” to reverse plaque build up in your arteriesHow to properly do a water fast without feeling weak or getting hungry.A handful of this food cuts risk of heart disease by 24 percent1 in 4 supplements failed quality tests at a leading independent lab. Discover which ones to throw outAnd much, much more..Plus countless other health secrets...Including this “miracle beverage” which researchers at the University of Minnesota found lowered diabetes risk by 33 percent...drinking this also boosts the effectiveness of your fast...plus one drink to avoid which sneakily breaks your fast.You’ll also discover:How to avoid starvation mode while fastingThe raw truth about extended water fastingIs too much autophagy bad? Get the answer from the world’s leading expert Why do dogs who eat 1 meal a day live 20 percent longer than dogs who eat 3 meals a day?This is not just a diet fad. This is a long-term game changer in the health and longevity space.
Recent years have seen a revival of the heated culture wars of the 1990s, but this time its battle ground is the internet. On one side the alt right ranges from the once obscure neo-reactionary and white separatist movements, to geeky subcultures like 4chan, to more mainstream manifestations such as the Trump-supporting gay libertarian Milo Yiannopolous. On the other side, a culture of struggle sessions and virtue signalling lurks behind a therapeutic language of trigger warnings and safe spaces. The feminist side of the online culture wars has its equally geeky subcultures right through to its mainstream expression. Kill All Normies explores some of the cultural genealogies and past parallels of these styles and subcultures, drawing from transgressive styles of 60s libertinism and conservative movements, to make the case for a rejection of the perpetual cultural turn.
Dive into shark-infested trivia and school your brain with quizzes that are perfect for Shark Week and anytime you want to make waves.
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