The spin-statistics theorem holds that, in any reasonable relativistic quantum field theory, particles with integer spin are bosons, while particles with half-integer spin are fermions.

Although originally expressed in Newton's third law, the conservation of linear momentum also holds in special relativity ( with a modified formula ) and, with appropriate definitions, a ( generalized ) linear momentum conservation law holds in electrodynamics, quantum mechanics, quantum field theory, and general relativity.

The Everett many-worlds interpretation, formulated in 1956, holds that all the possibilities described by quantum theory simultaneously occur in a multiverse composed of mostly independent parallel universes.

According to this vacuum energy explanation, since quantum theory holds that vacuum contains virtual particles, the rapidly moving interface between water and gas converts virtual photons into real photons.

It holds that a physical system — such as an electron — exists partly in all its particular, theoretically possible states ( or, configuration of its properties ) simultaneously ; but, when measured, it gives a result corresponding to only one of the possible configurations ( as described in interpretation of quantum mechanics ).

However, the principle of locality is disputed: whether it strictly holds depends on the interpretation of quantum mechanics chosen, especially for experiments involving quantum entanglement that satisfy Bell's Theorem.

This is especially true on a single-processor system, where each waiting thread of the same priority is likely to waste its quantum ( allocated time where a thread can run ) spinning until the thread that holds the lock is finally finished.

Although Rutherford's model of the atom itself had a number of problems with electron charge placement and motion, which were only resolved following the development of quantum mechanics, the central conclusion from the Geiger – Marsden experiment, the existence of the nucleus, still holds.

Witten has shown that this correspondence holds even quantum mechanically.

In 1932, Pascual Jordan attempted to axiomatize quantum theory by saying that the algebra of observables of any quantum system should be a formally real algebra which is commutative ( xy = yx ) and power-associative ( the associative law holds for products involving only x, so that powers of any element x are unambiguously defined ).

Whether this holds for quantum parallelism is as yet unknown.

As a quantized angular momentum, ( see angular momentum quantum number ) it holds that

They believe that quantum wave-functions do not collapse like the Copenhagen interpretation holds, nor that each collapse actually buds off separate universes ( like the quantum multiverse hypothesis holds ) but rather that the universe is a participatory universe: the entire universe exists as a single massive quantum superposition, and that at the end of time ( in the open universe of the Xeelee Sequence, time and space are unbounded, or more precisely, bounded only at the Cauchy boundaries of " Time-like infinity " and " Space-like infinity "), when intelligent life has collected all information ( compare the Final anthropic principle and the Omega Point ), and transformed into an " Ultimate Observer ", who will make the " Final observation ", the observation which collapses all the possible entangled wave-functions generated since the beginning of the universe.

It holds that objects governed by quantum mechanics, when measured, give results that depend inherently upon the type of measuring device used, and must necessarily be described in classical mechanical terms.

Although stated simply the mechanics needed to execute these tasks are laborious, e. g. as he passes the window he hides behind the blanket which he holds in front of himself to cover the mirror and he carries the cat and dog facing away from him as he tries to put them out the door.

This relation also holds for classical mechanics, due to the relationship between Poisson bracket and commutators, which is:

In Hamiltonian mechanics, a primary constraint is a relation between the coordinates and momenta that holds without using the equations of motion.

Just as in classical mechanics, the law of conservation of angular momentum still holds.

but true memory does not count nor add: it holds fast to things that were and they are outside of time.

The evaluation order does not affect the value of such expressions, and it can be shown that the same holds for expressions containing any number of operations .< ref > Thus, when is associative, the evaluation order can be left unspecified without causing ambiguity, by omitting the parentheses and writing simply:

# An asset with a known price in the future does not today trade at its future price discounted at the risk-free interest rate ( or, the asset does not have negligible costs of storage ; as such, for example, this condition holds for grain but not for securities ).

Fishing line lends itself better to right angle weave because it is stiffer than nylon thread, so holds the beads in a tighter arrangement and does not easily break when tugged upon.

Although his name does not appear in any other part of the Jewish Bible, Rabbinic tradition holds Habakkuk to be the Shunammite woman's son, who was restored to life by Elisha in 2 Kings 4: 16.

If your side has two aces and a void, then you are not at risk of losing the first two tricks, so long as ( a ) your void is useful ( i. e., does not duplicate the function of an ace that your side holds ) and ( b ) you are not vulnerable to the loss of the first two tricks in the fourth suit ( because, for instance, one of the partnership hands holds a singleton in that suit or the protected king, giving your side second round control ).

A common misconception holds that a non-validating XML parser does not have to read document type declarations, when in fact, the document type declarations must still be scanned for correct syntax as well as validity of declarations, and the parser must still parse all entity declarations in the internal subset, and substitute the replacement texts of internal entities occurring anywhere in the document type declaration or in the document body.

Deism holds that God does not intervene with the functioning of the natural world in any way, allowing it to run according to the laws of nature that he configured when he created all things.

No specific notation or title for the medical disciplines exists in the Netherlands, although a physician is usually referred to as " dokter " ( note the spelling difference ) this does not necessarily imply the physician holds a PhD degree.

Egoism and altruism both contrast with ethical utilitarianism, which holds that a moral agent should treat one's self ( also known as the subject ) with no higher regard than one has for others ( as egoism does, by elevating self-interests and " the self " to a status not granted to others ), but that one also should not ( as altruism does ) sacrifice one's own interests to help others ' interests, so long as one's own interests ( i. e. one's own desires or well-being ) are substantially equivalent to the others ' interests and well-being.

This argument is embodied in the Copernican principle, which states that the Earth does not occupy a unique position in the Universe, and the mediocrity principle, which holds that there is nothing special about life on Earth.

A similar declaration was issued with regard to Archbishop Emmanuel Milingo's conferring of episcopal ordination on four men-all of whom, by virtue of previous Independent Catholic consecrations, claimed already to be bishops-on 24 September 2006: the Holy See, as well as stating that, in accordance with Canon 1382 of the Code of Canon Law, all five men involved incurred automatic (" latae sententiae ") excommunication through their actions, declared that " the Church does not recognise and does not intend in the future to recognise these ordinations or any ordinations derived from them, and she holds that the canonical state of the four alleged bishops is the same as it was prior to the ordination.

This causes the iron atom to move backward into the heme which holds it ( the iron moves upward as it binds oxygen, in this illustration ), tugging the histidine residue ( modeled as a red pentagon on the right of the iron ) closer, as it does.

One key distinction is the purpose for the practice ; handloaders often seek smaller batches of high-quality ammunition, whereas reloaders are said to make large quantities of ammunition that does not need to be of as high quality but at least one authority ( McPherson ) holds that a better distinction for these connotations is that, regardless of quantity, handloads tend to be of generally high quality while reloads tend to be merely functional.

Egoism and altruism both contrast with ethical utilitarianism, which holds that a moral agent should treat one's self ( also known as the subject ) with no higher regard than one has for others ( as egoism does, by elevating self-interests and " the self " to a status not granted to others ), but that one also should not ( as altruism does ) sacrifice one's own interests to help others ' interests, so long as one's own interests ( i. e. one's own desires or well-being ) are substantially-equivalent to the others ' interests and well-being.

Conversely, simply having negative relationships with some women does not necessarily mean someone holds misogynistic views.

British Methodism does not have bishops ; however, it has always been characterized by a strong central organization, the Connexion, which holds an annual Conference ( note that the Church retains the 18th century spelling " connexion " for many purposes ).

Muttiah Muralitharan holds Overseas Citizenship of India ( OCI ) and he does not need a visa for travelling to India.

The character John Morlar from Peter Van Greenaway's 1973 novel The Medusa Touch and the 1978 film version holds nihilistic beliefs as does the character Animal Mother from Stanley Kubrick's 1987 film Full Metal Jacket and the ruthless thug O-Dog from the 1993 film Menace II Society by the Hughes Brothers.

If ever one is in a position in which they are unable to refute a theory, Pyrrhonists reply " Just as, before the birth of the founder of the School to which you belong, the theory it holds was not as yet apparent as a sound theory, although it was really in existence, so likewise it is possible that the opposite theory to that which you now propound is already really existent, though not yet apparent to us, so that we ought not as yet to yield assent to this theory which at the moment seems to be valid.

If QFT holds all the way down past the Planck length ( where it might yield to string theory, causal set theory or something different ), then there may be no real problem with short-distance divergences in particle physics either ; all field theories could simply be effective field theories.

This equation holds because the Lagrangian is not unique, one can always multiply by a constant and add a total time derivative and yield the same equations of motion

This dual order P < sup > op </ sup > is defined to be the set with the inverse order, i. e. x ≤ y holds in P < sup > op </ sup > if and only if y ≤ x holds in P. It is easy to see that this construction, which can be depicted by flipping the Hasse diagram for P upside down, will indeed yield a partially ordered set.

While it is still a young field, it holds great promise to yield insights into many aspects of the evolution of modern species.

The tower holds the bomb for the purpose of the investigation of its destructive effects ( such as burst height and distance with given explosive yield ) and for the adjustment of measuring instruments, such as high-speed cameras.

In linguistic semantics, an expression X is said to have cumulative reference if and only if the following holds: If X is true of both of a and b, then it is also true of the combination of a and b. Example: If two separate entities can be said to be " water ", then combining them into one entity will yield more " water ".