Axioms quantum theory. Medical search. Frequent questions

Yes, certainly it does: the existence of antiparticles, with the same mass and opposite charges as known particles, is a direct consequence of the axioms of special relativistic quantum field theory. (columbia.edu)
A linearized version of Heisenberg's fundamental equation is solved, and the solutions satisfy the axioms of a relativistic quantum field theory with a fundamental length. (arxiv.org)
and for Einstein-Minkowski space-time of Special Relativity, leading to relativistic quantum field theory. (physicsforums.com)

In theoretical physics, quantum field theory (QFT) is a theoretical framework that combines classical field theory, special relativity, and quantum mechanics. (wikipedia.org)
Each interaction can be visually represented by Feynman diagrams according to perturbation theory in quantum mechanics. (wikipedia.org)
Quantum field theory results from the combination of classical field theory, quantum mechanics, and special relativity. (wikipedia.org)
Max Planck's study of blackbody radiation marked the beginning of quantum mechanics. (wikipedia.org)
We review a recent approach to the foundations of quantum mechanics inspired by quantum information theory [1, 2]. (epj-conferences.org)
That is David Bohm's approach to Quantum Mechanics, also known as the Pilot Wave Interpretation, or sometimes just Bohmian Mechanics. (blogspot.com)
In 1951, he published a textbook about quantum mechanics. (blogspot.com)
In the course of writing it, he became dissatisfied with the then prevailing standard interpretation of quantum mechanics. (blogspot.com)
In quantum mechanics, everything is described by a wave-function, usually denoted Psi. (blogspot.com)
If you remember, Einstein famously said "God does not throw dice", by which he meant he does not believe that the probabilistic nature of quantum mechanics is fundamental. (blogspot.com)
In contrast to what is often claimed, Einstein did not think quantum mechanics was wrong. (blogspot.com)
He just thought it is probabilistic the same way classical physics is probabilistic, namely, that our inability to predict the outcome of a measurement in quantum mechanics comes from our lack of information. (blogspot.com)
Einstein thought, in a nutshell, there must be some more information, some information that is missing in quantum mechanics, which is why it appears random. (blogspot.com)
In 1952, he published two papers in which he laid out his idea for how to make sense of quantum mechanics. (blogspot.com)
According to Bohm, the wave-function in quantum mechanics is not what we actually observe. (blogspot.com)
Some physicists just shrug and say we have to live with the fact that quantum mechanics is weird. (quantamagazine.org)
If you want to calculate what experiments will reveal about subatomic particles, atoms, molecules and light, then quantum mechanics succeeds brilliantly. (quantamagazine.org)
They want to know why quantum mechanics has the form it does, and they are engaged in an ambitious program to find out. (quantamagazine.org)
If these efforts succeed, it's possible that all the apparent oddness and confusion of quantum mechanics will melt away, and we will finally grasp what the theory has been trying to tell us. (quantamagazine.org)
There's no guarantee of success - no assurance that quantum mechanics really does have something plain and simple at its heart, rather than the abstruse collection of mathematical concepts used today. (quantamagazine.org)
But even if quantum reconstruction efforts don't pan out, they might point the way to an equally tantalizing goal: getting beyond quantum mechanics itself to a still deeper theory. (quantamagazine.org)
Quantum mechanics seems largely built of arbitrary rules like this, some of them - such as the mathematical properties of operators that correspond to observable properties of the system - rather arcane. (quantamagazine.org)
Compare this with the ground rules, or axioms, of Einstein's theory of special relativity, which was as revolutionary in its way as quantum mechanics. (quantamagazine.org)
Albert Einstein (14 March 1879 - 18 April 1955) was a German-born theoretical physicist who developed the theory of relativity, one of the two pillars of modern physics (alongside quantum mechanics). (unionpedia.org)
In quantum electrodynamics, the anomalous magnetic moment of a particle is a contribution of effects of quantum mechanics, expressed by Feynman diagrams with loops, to the magnetic moment of that particle. (unionpedia.org)
Christopher G. Timpson, Quantum Information Theory and the Foundations of Quantum Mechanics , Oxford University Press, 2013, 293pp. (nd.edu)
The relationship between quantum information and the foundations of quantum mechanics has been of interest to philosophers of science and physicists for at least two decades. (nd.edu)
It's not just quantum mechanics that has a 'solipsism is untrue' axiom, every single conscious activity in everyday life, except in the philosophy classroom, needs and makes use of this axiom. (mail-archive.com)
But Jacob Barandes argues that any talk of multiverses is nothing more than wild speculation, be it in quantum mechanics or cosmology, and that physicists and philosophers are not doing the public a service by suggesting otherwise. (iai.tv)
And, it's no more counterintuitive than some Baby BTs (mini version of BT that proceeded it that are also counter-intuitive) and some physical phenomena (relativity, quantum mechanics, etc. (computationalcomplexity.org)
Is the Mendeleev table explained in quantum mechanics? (mathoverflow.net)
Does anybody know if there exists a mathematical explanation of the Mendeleev table in quantum mechanics? (mathoverflow.net)
The Schrödinger Equation") the authors present quantum mechanics as an axiomatic system, so one could expect that there is a deduction from the axioms to the main results of the discipline. (mathoverflow.net)
If this were not so, there would not be contradictions between what people write here and what they write there: 'Yes, quantum mechanics. (mathoverflow.net)
that you begin to think that maybe you read wrong books, and if you ask mathematicians who are interested in tags like 'quantum-mechanics', they will give an explanation, which could be verified (as this usually happens with mathematicians). (mathoverflow.net)
He showed that if one attempts to construct a 'position operator' similar to that in non-relativistic quantum mechanics and create a localized particle, the probability that the particle is found outside the light cone is non-zero. (stackexchange.com)
This FAQ shows how quantum paradoxes are resolved by the "many-worlds" interpretation or metatheory of quantum mechanics. (hedweb.com)
Newtonian mechanics.Now, the most important question is, is the structure of quantum mechanics the same as the structure of a Lie group? (physicsforums.com)
The reason is that the Lie group is a structure on the vector space of infinitesimal operations, while the structure of quantum mechanics is the structure of a Lie algebra on the vector space of observables.In summary, the commutation relation between two observables is a key to understanding how the abstract objects are connected with real-world observables. (physicsforums.com)
It's fully understood for the Galilei-Newton space time, leading to nonrelativistic quantum mechanics, which you usually learn first (and that you should! (physicsforums.com)
Moreover, not only does superstring theory merge general relativity with quantum mechanics, but it also has the capacity to embrace - on an equal footing - the electromagnetic force, the weak force, and the strong force. (blogspot.com)
Dear Anonymous, Yes, it is true that superstring theory merges general relativity and quantum mechanics. (blogspot.com)
To unify the two theories, scientists would have to develop a mechanics more complex than the point particle (Kurzgesagt - In a Nutshell). (ukessays.com)
Survey of modern physics: special relativity, quantum mechanics, and topics selected from atomic/molecular physics, solid state physics, nuclear/particle physics, and astrophysics/cosmology. (tufts.edu)
The twentieth century gave birth to two of the most important Physics theories of nowadays: Special/General Relativity and Quantum Mechanics. (databasefootball.com)
Relativity and Quantum Mechanics cannot be applied at the same time to the same problem. (databasefootball.com)
and entanglement, anti-causal events, and probabilistic results in Quantum Mechanics. (databasefootball.com)
Decades of work on these aspects were first inspired by a discussion between Einstein, Podolsky, and Rosen [1], which came to be known as the EPR paradox, to do with whether or not Quantum Mechanics was a complete theory. (databasefootball.com)
Entanglement emerges in quantum mechanics when a set of two or more particles can only be described as a whole, and not as individual entities. (databasefootball.com)
Soon after Bohm's thought experiment came to light, in 1964, John Bell [3] demonstrated that the hope of completing Quantum Mechanics with hidden variables was lost. (databasefootball.com)
Bell constructed an inequality which every theory of (local) hidden variables must satisfy, and demonstrated that Quantum Mechanics violated this inequality, thus concluding the impossibility to explain non-local phenomena of Quantum Mechanics through local hidden variables. (databasefootball.com)
But there is still something in Quantum Mechanics that one has not accounted for: factuality, which is a consequence of determinism. (databasefootball.com)
ROTA: What are your views on classical physics versus quantum mechanics? (amarna-forum.net)
ULAM: Quantum mechanics uses variables of higher type. (amarna-forum.net)
Nevertheless you find in quantum mechanics the strange phenomenon that a theory dealing with variables of higher type has to be imaged on variables of lower type. (amarna-forum.net)

These theories provide powerful methods and tools that can be successfully applied in many branches of mathematics and theoretical physics. (mdpi.com)
Most unresolved problems in physics, including quantum gravity, black holes, quark confinement, dark matter and dark energy, are expected to be described in terms of a quantum field theory (QFT), which, in a broad sense, may also include string, branes or m-theories. (mdpi.com)
For this Special Issue, we invite contributions concerning the Hamiltonian function in quantum field theories from working researchers in mathematics, theoretical physics, applied mathematics and physics and related areas, with the aims of joining efforts from different perspectives to enhance knowledge in this field. (mdpi.com)
An informal poll taken at a 2011 conference on Quantum Physics and the Nature of Reality showed that there's still no consensus on what quantum theory says about reality - the participants remained deeply divided about how the theory should be interpreted. (quantamagazine.org)
I think it might help us move towards a theory of quantum gravity," said Lucien Hardy , a theoretical physicist at the Perimeter Institute for Theoretical Physics in Waterloo, Canada. (quantamagazine.org)
The theory arose out of attempts to understand how atoms and molecules interact with light and other radiation, phenomena that classical physics couldn't explain. (quantamagazine.org)
In theoretical physics, quantum field theory (QFT) is the theoretical framework for constructing quantum mechanical models of subatomic particles in particle physics and quasiparticles in condensed matter physics. (unionpedia.org)
In theoretical physics, the anti-de Sitter/conformal field theory correspondence, sometimes called Maldacena duality or gauge/gravity duality, is a conjectured relationship between two kinds of physical theories. (unionpedia.org)
born September 18, 1952) is a Russian physicist, known for his contributions to condensed matter physics, two-dimensional conformal field theory, and string theory, and is currently the C.N. Yang/Wei Deng Endowed Chair of Physics at Stony Brook University. (unionpedia.org)
In quantum physics an anomaly or quantum anomaly is the failure of a symmetry of a theory's classical action to be a symmetry of any regularization of the full quantum theory. (unionpedia.org)
Arnold Johannes Wilhelm Sommerfeld, (5 December 1868 - 26 April 1951) was a German theoretical physicist who pioneered developments in atomic and quantum physics, and also educated and mentored a large number of students for the new era of theoretical physics. (unionpedia.org)
In particle physics, asymptotic freedom is a property of some gauge theories that causes interactions between particles to become asymptotically weaker as the energy scale increases and the corresponding length scale decreases. (unionpedia.org)
Constructive field theory aims to rigorously construct concrete, non-trivial solutions to Lagrangians used in particle physics, where the solutions satisfy some relevant set of axioms. (pitt.edu)
Recently a number of related bold theses and misconceptions have appeared, such as "information is physical," "the world is a quantum computer," and "physics is information theory. (nd.edu)
What is needed is a string theory model which completely describes the low-energy physics of the Standard Model and can make detailed predictions for physics beyond the Standard Model. (columbia.edu)
The problem would be if there are many string theory models which reproduce the standard model exactly, yet have completely different predictions for new physics. (columbia.edu)
And according to certain lines of research coming out of string theory, our observable universe is only a small part of a vast "cosmic multiverse" containing other regions of space in which the fundamental laws of physics are substantially different. (iai.tv)
Lopuszanski was an expert in quantum field theory, the most advanced and the least understood branch of theoretical physics. (quantumfuture.net)
Even so, axiomatic field theory, and later its more abstract version " algebraic quantum field theory" allowed mathematical physicists and mathematicians in the last fifty years to develop many interesting and highly non- trivial concepts, to achieve deeper insight into the relations between these concepts, and to develop new powerful mathematical tools that have found applications in other areas of physics, mathematics and engineering. (quantumfuture.net)
Quantum theory takes the space-time models of classical physics. (physicsforums.com)
Topological quantum field theories (TQFTs) are one of several mathematical approaches to quantum field theory in physics. (math.ca)
Comparing this particle to the vague results they would get from observing particles allowed the development of Quantum Field Theory which is the basis of all particle physics today and describes particle behavior fairly accurately. (ukessays.com)
It would be a great human achievement if we really knew the fundamental theory of the strong interactions, which explained all hadronic data and also nuclear physics! (scholarpedia.org)
Though quantum-geometry dynamics is a physics of fundamental reality, its axioms imply a number of predictions at the cosmological scale. (quantumgeometrydynamics.com)
As a consequence all physics theories are theories of matter (or matter and energy to be precise). (quantumgeometrydynamics.com)
QGD shows that all laws of physics can be derived from a simple of set of axioms which is complete and consistent. (quantumgeometrydynamics.com)

Supplemented by a few additional requirements, satisfied by classical and quantum theory, it provides a complete axiomatic characterization of quantum theory for finite dimensional systems. (epj-conferences.org)
I examine the relationship of solutions in constructive field theory to both axiomatic and Lagrangian quantum field theory (QFT). (pitt.edu)
Constructive field theory, in incorporating ingredients from both axiomatic and Lagrangian QFT, clarifies existing disputes about which parts of QFT are philosophically relevant and how rigor relates to these disputes. (pitt.edu)
Before I can explain the motivation behind the idea of a quantum multiverse, I'll need to talk about the axiomatic formulation of quantum theory, as introduced by Paul Dirac and John von Neumann in the 1930s. (iai.tv)
When physicists and philosophers sometimes speak this way, they're extrapolating both beyond the axiomatic ambit of textbook quantum theory and also beyond the bounds of present-day empirical science, perhaps to make quantum theory seem more colorful. (iai.tv)
And exactly the same applies to axiomatic field theory : the only models that satisfy all axioms proved to be of no interest to the physicists. (quantumfuture.net)

Greene states very carefully that superstring theory "has the capacity to embrace" gravity as well as the other known fundamental forces (electromagnetic, weak, and strong). (blogspot.com)
Superstring theory does contain gravity, yes, but not the normal type of gravity. (blogspot.com)
To What Extent Does String Theory Present a Possibility of a Unified Theory of Quantum Gravity? (ukessays.com)
The report discusses the theoretical background of String Theory and makes a case for its resurgence in recent times to be a potential candidate for the Theory of Quantum gravity by addressing its former shortcomings and experimental methods. (ukessays.com)
However, since there is no way to measure things precisely in the Quantum world, the theory is not compatible with the theory of Gravity and General Relativity. (ukessays.com)
String theory immediately became a potential candidate for the unified Theory of Quantum Gravity which even Einstein could not put his finger on. (ukessays.com)
Is the quantization of gravity necessary for a quantum theory of gravity? (physicsoverflow.org)
The other day in my string theory class, I asked the professor why we wanted to quantize gravity, in the sense that we want to treat the metric on space-time as a quantum field, as opposed to, for example, just leaving the metric alone, and doing quantum field theory in curved space-time. (physicsoverflow.org)
What are the reasons for believing that in order to obtain a complete and correct quantum theory of gravity, we must quantize the metric? (physicsoverflow.org)
For example, how do we know something like non-commutative geometry cannot be used to construct a quantum theory of gravity. (physicsoverflow.org)

QFT treats particles as excited states (also called quanta) of their underlying quantum fields, which are more fundamental than the particles. (wikipedia.org)
Interactions between particles are described by interaction terms in the Lagrangian involving their corresponding quantum fields. (wikipedia.org)
Take Erwin Schrödinger's equation for calculating the probabilistic properties of quantum particles. (quantamagazine.org)
It's basically a wavelike mathematical expression, reflecting the well-known fact that quantum particles can sometimes seem to behave like waves. (quantamagazine.org)
However, can you predict the specific particles that will be present in your theory from first principles? (columbia.edu)
But under this assumption, Eric sees no reason to believe that "mixed states" (e.g. quantum superpositions of multiple classical states) ever persist for more than time epsilon even in small ensembles of particles. (ibiblio.org)
The electron, the quarks, the neutrinos, and all other particles are also described in superstring theory as strings undergoing different vibrational patterns. (blogspot.com)
Who knows whether the next physical theory is consistent with the idea of elementary particles or not. (dennisweyland.net)
If, as QGD proposes, space is discrete and emerges from the interactions between preons(-) and if the single fundamental component of matter is the preon(+), then the formation of all material structures, from particles to galaxies requires that the Universe evolved from an isotropic state where all preons(+) were free and uniformly distributed through the entire quantum-geometrical space of Universe. (quantumgeometrydynamics.com)

We first illustrate two very primitive features, expressed by the axioms of causality and purity-preservation, which are satisfied by both classical and quantum theory. (epj-conferences.org)
The strict causality implies that any structure requires the pre-existence of its components may appear trivial, but it is a principle that some theories feel is fine to violate. (quantumgeometrydynamics.com)
As a result, theories that violate strict causality may ambiguously indicate that reality can get more complex the closer we approach the fundamental scale. (quantumgeometrydynamics.com)

For me, the ultimate goal is to prove that quantum theory is the only theory where our imperfect experiences allow us to build an ideal picture of the world," said Giulio Chiribella , a theoretical physicist at the University of Hong Kong. (quantamagazine.org)
Alexander 'Sasha' Abramovich Belavin (Алекса́ндр Абрамо́вич Бела́вин, born 1942) is a Russian physicist, known for his contributions to string theory. (unionpedia.org)
It seems beyond the bounds of plausibility that every quantum physicist in the world is wrong and he is right. (ibiblio.org)

Its development began in the 1920s with the description of interactions between light and electrons, culminating in the first quantum field theory-quantum electrodynamics. (wikipedia.org)
it is the successful theory of Quantum Electrodynamics (QED), which has rather different physical properties. (scholarpedia.org)

The Dirac-von Neumann axioms are a set of basic principles that form the operational core of most textbook treatments of quantum theory today. (iai.tv)
The first half of the Dirac-von Neumann axioms collectively assert that when we model a physical system using textbook quantum theory, we're supposed to introduce a specific collection of esoteric mathematical entities, which I'll describe in more detail later. (iai.tv)
This point merits reiterating: no experiment has ever actually seen an atom in two places at once, let alone a cat being both alive and dead, and the Dirac-von Neumann axioms do not say such things, either. (iai.tv)
The ingredients of the second half of the Dirac-von Neumann axioms consist of prescriptions for turning these mathematical entities into predictions about measurement outcomes, probabilities of measurement outcomes, and statistical averages of measurement outcomes weighted by probabilities of measurement outcomes. (iai.tv)
I keep repeating the term "measurement outcomes" here because the only connection the Dirac-von Neumann axioms make between textbook quantum theory and the real world is through measurement outcomes, measurement-outcome probabilities, and statistical averages of the former over the latter. (iai.tv)
The Dirac-von Neumann axioms don't make any statements about anything else in the real world. (iai.tv)
In particular, the Dirac-von Neumann axioms don't support oft-heard statements that an atom can be in "two places at once," or that a cat can be "alive and dead" at the same time. (iai.tv)

The theory has an extremely interesting historical development for which we refer to Scholarpedia article on Asymptotic freedom . (scholarpedia.org)

These days, quantum field theories are becoming increasingly important, both from a fundamental point of view and a practical one. (mdpi.com)
Quantum field theory emerged from the work of generations of theoretical physicists spanning much of the 20th century. (wikipedia.org)
The development of gauge theory and the completion of the Standard Model in the 1970s led to a renaissance of quantum field theory. (wikipedia.org)
The earliest successful classical field theory is one that emerged from Newton's law of universal gravitation, despite the complete absence of the concept of fields from his 1687 treatise Philosophiæ Naturalis Principia Mathematica. (wikipedia.org)
301 : 2 The theory of classical electromagnetism was completed in 1864 with Maxwell's equations, which described the relationship between the electric field, the magnetic field, electric current, and electric charge. (wikipedia.org)
To use Bohm's theory, you then need one further assumption, one that tells what the probability is for the particle to be at a certain place in the guiding field. (blogspot.com)
We extend the C*-algebraic approach to interacting quantum field theory, proposed recently by Detlev Buchholz and one of us (KF) to Fermi fields. (springer.com)
Does quantum field theory by itself offer any falsifiable predictions? (columbia.edu)
To address the topic of FTL communication, one of the main conditions in constructing a physical quantum field theory is that observables at space-like separations must commute. (stackexchange.com)
Political scientist" L David Raub reports a poll of 72 of the "leading cosmologists and other quantum field theorists" about the "Many-Worlds Interpretation" and gives the following response breakdown [T]. (hedweb.com)
Lattice gauge theory is a formulation of quantum field theory with gauge symmetries on a space-time lattice. (scholarpedia.org)
QCD is a quantum field theory in 4 space-time dimensions. (scholarpedia.org)
Quantum field theory on curved non-commutative space-time? (physicsoverflow.org)
The design of the syntax and semantics of this logic is directly inspired by the theory of Riesz spaces, a mature field of mathematics at the intersection of universal algebra and functional analysis. (episciences.org)

and finite model theory. (episciences.org)
It follows that there must be a finite number of preons(-), which in turn implies that there is a finite number of interactions, thus a finite amount of quantum-geometrical space. (quantumgeometrydynamics.com)

She later wondered why mathematicians didn't just toss out The Axiom of Choice (for uncountable sets) since it leads to such an obviously false theorem. (computationalcomplexity.org)
BT does not contradict any theorem or axiom. (computationalcomplexity.org)
P.S. I hope the following will not be offensive for physicists: by a mathematical proof I mean a chain of logical implications from axioms of the theory to its theorem. (mathoverflow.net)

Superstring theory works best in a space-time with a cosmological constant that is negative, the so-called "Anti de Sitter spaces. (blogspot.com)
When astrophysicists measured the cosmological constant and found it to be positive, string theorists cooked up another fix for their theory to get the right sign. (blogspot.com)
This was revolutionary since string theory could describe interactions and behaviors of matter at both the quantum and cosmological scale. (ukessays.com)

The approach is based on a general framework, which allows one to address a large class of physical theories which share basic information-theoretic features. (epj-conferences.org)

In its final portion, the book addresses issues in the foundations of quantum theory proper and assesses several relatively recent attempts to provide an informational foundation for the theory. (nd.edu)
Many years later I realized that my questions could not be answered within the standard paradigm of quantum theory, that the very foundations of quantum theory needed to be changed. (quantumfuture.net)
I didn't know then that in the future, for my own work on the foundations of quantum theory I would get the Humboldt Award . (quantumfuture.net)

Timpson gives a critical assessment of various specific proposals for solving basic problems of quantum foundations, such as the measurement problem and the nature of quantum "non-locality. (nd.edu)
Again, the textbook theory says nothing about phenomena of any kind happening except for measurement outcomes, their probabilities, and their statistical averages. (iai.tv)
All elements of this theory have a clear meaning in terms of operationally defined preparation and measurement protocols. (physicsforums.com)

BILL: I told my wife the Banach-Tarski Paradox and she wonders why mathematicians didn't just IMMEDIATELY toss out the Axiom of choice for uncountable sets since BT is so obviously false. (computationalcomplexity.org)

One widespread hope is that there is a theory which unifies all of these. (scholarpedia.org)

It is called quantum reconstruction, and it amounts to trying to rebuild the theory from scratch based on a few simple principles. (quantamagazine.org)
Do we have the mathematical means to give a sufficiently precise description of the chemical properties of elements from quantum-mechanical first principles, such that the Mendeleev table becomes a natural organizational scheme? (mathoverflow.net)

In fact, not only does QGD cosmology not contradict observations that support the dominant theory, but it also accounts for observations that the dominant theory cannot explain and which constitutes strong counter-evidence against it. (quantumgeometrydynamics.com)

By its end, a number of specific proposals for placing the interpretation of quantum theory on an informational basis are shown to be far from having been accomplished. (nd.edu)
Readers may have heard that according to a particular interpretation of quantum theory, we're living in a "quantum multiverse" consisting of parallel realities that exist "in superposition. (iai.tv)
This FAQ does not seek to prove that the many-worlds interpretation is the "correct" quantum metatheory, merely to correct some of the common errors and misinformation on the subject floating around. (hedweb.com)

No one was able to succeed in constructing a mathematically reasonably behaving theory starting from assumptions that physicists considered reasonable. (quantumfuture.net)
Those assumptions are similar to the axioms used in mathematics and on top of them we are able to construct a certain kind of philosophy. (dennisweyland.net)

Otherwise you'd loose contact between the abstract mathematical model and observations on real systems, and then you'd have a nice mathematical system of axioms but no physical theory. (physicsforums.com)
Esthetics and symmetries have played a crucial role in the postulation of physical theories. (scholarpedia.org)
It is not surprising at all, that the answer to such an absolute question about the free will of humans is different for someone who reasons based on the Roman Catholic view of the Universe and for someone else who reasons based on the latest physical theories. (dennisweyland.net)
Nowadays we despise the idea that the Universe is made of five elements, while we praise the ingenious foresight of Leucippus and Democritus, because their ideas are more or less consistent with our modern physical theories. (dennisweyland.net)

In fact, a specific Hamiltonian function can characterize a quantum system in many aspects, providing, for instance, its dynamical time evolution, being related to energies of the system, and providing clues about the system behaviour in terms of its symmetries. (mdpi.com)

There are many ways to do this compactification and that's what eventually gives rise to the "landscape" of string theory: The vast number of different theories that supposedly all exist somewhere in the multiverse. (blogspot.com)

Re: The Nature of Contingency: Quantum Phys. (mail-archive.com)

A special issue of Axioms (ISSN 2075-1680). (mdpi.com)

So the entire business is geometry in the sense of the 19th century: Among the most important developments of pure mathematics in the 2nd half of the 19th century and the beginning of the 20th was the development of group theory and the theory of invariance. (physicsforums.com)
Quantum-geometry dynamics too is a theory of matter, but it is also a theory of space. (quantumgeometrydynamics.com)
There is no such ambiguity in quantum-geometry dynamics. (quantumgeometrydynamics.com)

The self-adjoint operators in Hilbert space represent the observables in the formal mathematical description of nature, called quantum theory. (physicsforums.com)

The first part of the book deals primarily with information theory, providing a more careful discussion than is typically given in the quantum foundational literature. (nd.edu)

In addition, it is always possible that new, unexpected phenomena will be discovered that are not compatible with string theory. (columbia.edu)

Timpson's presentation includes a discussion of the qubit in contradistinction to the better-known bit of information -- the latter being based on the notion of a distinct pair of states, whereas the former also includes states formed by quantum-mechanical superposition. (nd.edu)

I have attempted, in the answers, to translate the precise mathematics of quantum theory into woolly and ambiguous English - I would appreciate any corrections. (hedweb.com)

So my question is whether it is proved by now that these regularities (perhaps not all but some of them) are corollaries of a system of axioms like those from the Berezin-Shubin book. (mathoverflow.net)
You 'observe' a quantum system whenever you bounce a photon off it. (ibiblio.org)

Accordingly, I'll refer to this basic version of the theory as "textbook quantum theory. (iai.tv)

The idea was this : " If we are not able to construct a reasonable theory, let us assume that it has been constructed. (quantumfuture.net)

Like QED, QCD is a gauge theory . (scholarpedia.org)

They cover a range of topics, including the controversy over string theory and the role of blogs. (columbia.edu)
I agree, string theory has not reached the level of maturation of QFT with the Standard Model. (columbia.edu)
Again, I would like to make the point that it is possible for string theory to be falsified by theoretical criteria alone, although this hasn't happened. (columbia.edu)
There is not a single comparable success in string theory or any post standard model theory. (columbia.edu)
Sabine Hossenfelder: Backreaction: Dear Dr B: Should I study string theory? (blogspot.com)
Dear Dr B: Should I study string theory? (blogspot.com)
Part of the reason I am asking is that I am thinking about pursuing String Theory, but it has been somewhat difficult wrapping my head around its current status. (blogspot.com)
Does string theory accomplish all of the above? (blogspot.com)

We then discuss the axiom of purification, which expresses a strong version of the Conservation of Information and captures the core of a vast number of protocols in quantum information. (epj-conferences.org)

In its second portion, the focus turns primarily to quantum information theory and the ways and extent to which it differs from classical information. (nd.edu)
Timpson points out, for example, that the differences between quantum information and classical information turns on the difference of communication signal states available in the two theories (cf. (nd.edu)

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