String theory

**String theory** tries to use math to explain the four known fundamental forces—gravitation, electromagnetism, strong nuclear force, weak nuclear force—together in one theory. This tries to solve the problems of having both classical physics and quantum physics.

Einstein wanted a unified field theory, a single theory to explain the fundamental forces. Today's scientists want a unified field theory that also explains matter.  This is called the search for a theory of everything (TOE). The most famous theory used as a TOE is called superstring theory. It says there are 6 higher dimensions as well as the four dimensions of Height, Length, Width and Time).

Some superstring theories think that it is about the geometry of space. This idea is a big part of a theory called M-theory. Many string theorists believe that M-theory explains the universe and might explain how other universes, if they exist, are as part of the  "multiverse". M theory/supergravity theory has 7 higher dimensions and the four dimensions of Height, Length, Width and Time.

## Background

Introductions to string theory that are designed for the general public must first explain physics.  Some of the controversies over string theory are because of people not understanding physics. A common misunderstanding even is the idea that a theory is proven true whenever something it says will happen happens.  Another misunderstanding is that earlier physical scientists, including chemists, have already explained the world. This leads to the misunderstanding that string theorists began making up new ideas after they became "set free from truth".

#### Newtonian physics

Newton's law of universal gravitation (UG) was published in 1687.  Newton's theory successfully explained objects big enough for us to see them. Coulomb's law explained electricity. Maxwell's electromagnetic field theory explained electricity and magnetism. This led to the creation of optics, the study of light.

Light's speed usually stayed the same when measured by an observer travelling almost as fast as the light. Scientists thought that that would change based on how fast the observer was moving but it didn’t. This did not violate Galileo’s Principle of relativity that says the laws of mechanics work the same for all objects showing inertia.

Inertia means that when no force is applied to an object, the object keeps its velocity, which means it’s as fast as it is moving _and_ going in the direction that it is going.  An object is moving at a constant speed in the same direction, which isn’t changing at all, has inertia. This is called Galilean invariance — it does what it normally does without changing —and is also called Galilean relativity, since it’s impossible to tell whether it is not moving or moving all the time at the same speed.

##### Special relativity

In 1905, Einstein's special theory of relativity explained both Maxwell's ideas about Electromagnetism and Galilean relativity by saying that the Speed of light is always the same but Space and Time aren’t. This means that when an object travels almost as fast as light, Time slows down. This is called Time dilation. Special relativity meant that Newton's theory—which said that space and time never change—couldn’t explain gravity.

Einstein said that being under either gravitation or moving at the same speed, feel like the same thing.

Einstein said Special relativity would work when the energy density across the three dimensions of space is the same. So when an object never speeds up, gravity works differently.

##### General relativity

In 1915, Einstein's general theory of relativity explained gravitation with something called spacetime. Einstein said Time is one dimension and that Height, Length and Width are the three space dimensions. Even in everyday life, one says or at least means, "Meet me at building 123 Main Street intersecting Franklin Street in apartment 3D on 10 October 2012 at 9:00PM". If you don’t say  the time, you go to the right place you don’t go to the event you’re trying to go to. —it is in the past or the future.

By converging space and time and presuming both relative to the energy density in the vicinity, and by setting the only _constant_ or absolute as not even mass but as light speed in a vacuum, general relativity revealed the natural world's previously unimagined balance and symmetry. Every object is always moving at light speed along a straight line—its equivalent, on a curved surface, called _geodesic_ or _worldline_—the one pathway of least resistance like a free fall through 4D spacetime whose geometry "curves" in the vicinity of mass/energy.

An object at light speed in a vacuum is moving at maximal rate through 3D space but exhibits no evolution of events—it is frozen in time—whereas an object motionless in 3D space flows fully along 1D time, experiencing the maximal rate of events' unfolding. The displayed universe is relative to a given location, yet once the mass/energy in that vicinity is stated, Einstein's equations predict what is occurring—or did occur or will occur—anywhere in the universe. The popularized notion that _relative_ in Einstein's theory suggests _subjective_ or _arbitrary_ was to some regret of Einstein, who later thought he ought have to named it _general theory_.

##### Cosmology

The electromagnetic field's messenger particles, photons, carry an image timelessly across the universe while observers within this field have enough flow through time to decode this image and react by moving within 3D space, yet can never outrun this timeless image. The universe's state under 400 000 years after the presumed big bang that began our universe is thought to be displayed as the cosmic microwave background (CMB).

In 1915, the universe was thought to be entirely what we now call the Milky Way galaxy and to be static. Einstein operated his recently published equations of the gravitational field, and discovered the consequence that the universe was expanding or shrinking. (The theory is operable in either direction—time invariance.) He revised the theory add a _cosmological constant_ to arbitrarily balance the universe. Nearing 1930, Edwin Hubble's telescopic data, interpreted through general relativity, revealed the universe was expanding.

In 1916 while on a World War I battlefield, Karl Schwarzschild operated Einstein's equations, and the Schwarzschild solution predicted black holes. Decades later, astrophysicists identified a supermassive black hole in the center of perhaps every galaxy. Black holes seem to lead galaxy formation and maintenance by regulating star formation and destruction.

In the 1930s, it was noticed that according to general relativity, galaxies would fall apart unless surrounded by invisible matter holding a galaxy together, and by the 1970s dark matter began to be accepted. In 1998 it was inferred that the universe's expansion, not slowing, is accelerating, indicating a vast energy density—enough to accelerate both visible matter and dark matter—throughout the universe, a vast field of dark energy. Apparently, under 5% of the universe's composition is known, while the other 95% is mysterious—dark matter and dark energy.

#### Strange mechanics

By the 1920s, to probe the operating of the electromagnetic field at minuscule scales of space and time, quantum mechanics (QM) was developed. Yet electrons—the matter particles that interact with the photons that are the electromagnetic field's force carriers—would appear to defy mechanical principles altogether. None could predict a quantum particle's location from moment to moment.

In the slit experiment, an electron would travel through one hole placed in front of it. Yet a single electron would travel simultaneously though multiple holes, however many were placed in front of it. The single electron would leave on the detection board an interference pattern as if the single particle were a wave that had passed through all the holes simultaneously. And yet this occurred only when unobserved. If light were shone on the expected event, the photon's interaction with the field would set the electron to a single position.

By the uncertainty principle, any quantum particle's exact location and momentum cannot be determined with certainty, however. The particle's interaction with the observation/measurement instrument deflects the particle such that greater determination of its position yields lower determination of its momentum, and vice versa.

#### Field theory applied to quantum mechanics

By extending quantum mechanics across a field, a consistent pattern emerged. From location to adjacent location, the probability of the particle existing there would rise and fall like a wave of probability—a rising and falling probability density.  When unobserved, any quantum particle enters superposition, such that even a single particle fills the entire field, however large.  Yet the particle is not _definitely_ anywhere in the field, but there at a definite _probability_ in relation to whether it was had been at the adjacent location.  The waveform of Maxwell's electromagnetic field was generated by an accumulation of probabilistic events.  Not the particles, but the mathematical form, was constant.

Setting the field to special relativity permitted prediction of the complete electromagnetic field.  Thus arose relativistic quantum field theory (QFT).  Of the electromagnetic field, it is relativistic quantum electrodynamics (QED).  Of the weak and electromagnetic fields together, it is relativistic electroweak theory (EWT).  Of the strong field, it is relativistic quantum chromodynamics (QCD).  Altogether, this became the Standard Model of particle physics.

#### Division in physics

When the Standard Model is set to general relativity in order to include mass, probability densities of infinity appear.  This is presumed incorrect, as probability ordinarily ranges from 0 to 1—0% to 100% probability.  Some theoretical physicists suspect that the problem is in the Standard Model, which represents each particle by a zero-dimensional point that in principle can be infinitely small. Yet in quantum physics, the Planck's constant is the minimum energy unit that a field can be divided into, perhaps a clue to the smallest size a particle can be.  So there is a quest to _quantize_ gravity—to develop a theory of quantum gravity.

### Framework

String conjectures that on the microscopic scale, Einstein's 4D spacetime is a field of Calabi-Yau manifolds, each containing 6 space dimensions curled up, thus not extended into the 3 space dimensions presented to the classical realm.  In string theory, each quantum particle is replaced by a 1D string of vibrating energy whose length is the Planck length.  As the string moves, it traces width, and thus becomes 2D, a worldsheet.  As a string vibrates and moves within the 6D Calabi-Yau space, the string becomes a quantum particle.  With this approach, the hypothetical graviton—predicted to explain general relativity—emerges easily.

### Theories

String theory began as bosonic string theory, whose 26 dimensions act as many fewer.  Yet this modeled only bosons, which are energy particles, while omitting fermions, which are matter particles.  So bosonic string theory could not explain matter.  Yet by adding supersymmetry to bosonic string theory, fermions were achieved, and string theory became _super_string theory, explaining matter, too.

(In versions of quantum field theory that include supersymmetry (SUSY), each boson has a corresponding fermion, and vice versa.  That is, each energy particle has a corresponding matter particle, and each matter particle has a corresponding energy particle, yet the unobservable partner is more massive and thus _super_.  These superpartners might seem an extravagant prediction, yet many theorists and experimentalists favor supersymmetric versions of the Standard Model, whose equations must otherwise be tweaked extravagantly and sometimes arbitrarily to maintain predictive success or mathematical consistency, but with the superpartners align.)

### Untestable—unscientific?

String theory's claim that all molecules are _strings of energy_ has drawn harsh criticism.  There are many versions of string theory, none quite successfully predicting the observational data explained by the Standard Model.  M theory is now known to have countless solutions, often predicting things strange and unknown to exist.  Some allege that string theorists select only the desired predictions.

The allegation that string theory makes no testable predictions is false, as it makes many.  No theory—a predictive and perhaps explanatory model of some domain of natural phenomena—is verifiable.  All conventional physical theories until the Standard Model have made claims about unobservable aspects of the natural world.  Even the Standard Model has various interpretations as to the natural world.  When the Standard Model is operated, it is often made a version with supersymmetry, doubling the number of particle species so far identified by particle physicists.

None can literally measure space, yet Newton postulated absolute space and time, and Newton's theory made explicit predictions, highly testable and predictively successful for 200 years, but the theory was still falsified as explanatory of nature.  Physicists accept that there exists no such attractive force directly attracting matter to matter, let alone that the force traverses the universe instantly.  Nevertheless, Newton's theory is still paradigmatic of science.

### Hidden dimensions?

The idea of hidden dimensionality of space can seem occult.  Some theorists of loop quantum gravity—a contender for quantum gravity—regard string theory as fundamentally misguided by presuming that space even has a shape until particles shape it.  That is, they do not doubt that space takes various shapes, simply regard the particles as determining space's shape, not the other way around.  The spacetime vortex predicted by general relativity is apparently confirmed.

If interpreted as naturally true, the Standard Model, representing a quantum particle as a 0D point, already indicates that spacetime is a sea of roiling shapes, quantum foam.  String theorists tend to believe nature more elegant, a belief that loop theorist Lee Smolin dismisses as romantic while using biology's Modern Synthesis as a rhetorical device.  Experiments to detect added spatial dimensions have so far failed, yet there is still the possibility that signs of them can emerge.

### So many solutions?

M theory has many trillions of solutions.  Leonard Susskind, a leader of string theory, interprets string theory's plasticity of solutions as paradoxical support resolving the mystery of why _this_ universe exists, as M theory shows it but a variant of a general pattern that always approximately results.

General relativity has brought many discoveries that in 1915 were all but unimaginable except in fiction.  A solution of Einstein's equations that sought to explain quantum particles' dynamics, the Einstein-Rosen Bridge predicts a shortcut connecting two distant points in spacetime.  Commonly called a wormhole, the Einstein-Rosen Bridge is doubted but not disproved, showing either that not all consequences of a theory must be accurate or that reality is quite bizarre in ways unobservable.

#### Many worlds

Even the Standard Model of particle physics suggests bizarre possibilities that populist accounts of science either omit or mention as unexplained curiosities.  The theory conventionally receives the Copenhagen interpretation, whereby the field is only _possibilities_, none real until an observer or instrument interacts with the field, whose wavefunction then collapses and leaves only its particle function, only the particles being real.  Yet wavefunction collapse was merely assumed—neither experimentally confirmed nor even mathematically modeled—and no variance from either the wavefunction in the quantum realm or the particle function in the classical realm has been found.

In 1957 Hugh Everett described his "Relative state" interpretation.  Everett maintained that the wavefunction does not collapse, and since all matter and interactions are presumed to be built up from quantum waveparticles, all possible variations of the quantum field—indicated by the mathematical equations—are _real_ and simultaneously occurring but different courses of history.  By this interpretation, whatever interacts with the field joins the field's state that is _relative_ to the observer's state—itself a waveform in its own quantum field—while the two simply interact in a universal waveform never collapsing.  By now, many physicists' interpretation of the apparent transition from the quantum to the classical realms is not wavefunction collapse, but quantum decoherence.

In decoherence, an interaction with the field takes the observer into only one determinant constellation of the quantum field, and so all observations align with that new, combined quantum state.  Everett's thesis has inspired Many worlds interpretation, whereby within our universe are predicted to be virtually or potentially infinite parallel worlds that are real, yet each a minuscule distance from the other worlds.  As each world's waveform is universal—not collapsing—and its mathematical relations are invariant, parallel worlds simply fill the gaps and do not touch.

#### Many universes

Einstein doubted that black holes, as predicted by the Schwarzschild solution, are real.  Some now conjecture that black holes do not exist as such but are dark energy, or that our universe is both—a black hole and dark energy.  The Schwarzschild solution of Einstein's equations can be maximally extended to predict a black hole having a flip side—another universe emerging from a white hole.  Perhaps our universe's big bang was half of a _big bounce_, something's collapse down to a black hole, and our universe popping out its other side as a white hole.

### Particles are strings?

Physicists widely doubt that quantum particles are truly 0D points as represented in Standard Model, which offers _formalism_—mathematical devices whose strokes predict phenomena of interest upon input of data—not _interpretation_ of the mechanisms determining those phenomena.  Yet string theorists do tend to optimistically conjecture that the strings are both real and explanatory, not merely predictive devices.  It is far beyond the capacity of today's particle accelerators to propel any probing particles at energy levels high enough to overcome a quantum particle's own energy and determine whether it is a string.  Yet this limitation also exists on testing other theories of quantum gravity.  Developments suggest other strategies to "observe" the structure of quantum particles.

Paradoxically, even if testing confirmed that particles are strings of energy, that still would not conclusively prove even that particles are strings, since there could be other explanations, perhaps an unexpected warpage of space although the particle was a 0D point of true solidity.  Even when predictions succeed, there are many possible explanations—the problem of underdetermination—and philosophers of science as well as some scientists do not accept even flawless predictive success as verification of the successful theory's explanations if these are posed as offering scientific realism, true description of the natural world.

### Matter is energy?

Talk of particle physicists testing theoretical physicists' predicted particles by colliding particles in accelerators suggests that quantum particles are tiny Newtonian particles that experimentalists _crack_ open to reveal their structure.  Instead, when two particles, each of a certain mass—measured in terms of _energy_ as electronvolts—are collided, they can combine into a particle of that combined mass/energy, and the generated particle is "observed" for correspondence with the prediction.

It is not controversial among physicists that all particles are _energy_.  Loop theorists, sometimes in rivalry with string theory, claim that spacetime itself converts into the particles.  Matter's being a special variant of energy was a consequence of Einstein's special theory of relativity, and thereupon Einstein formalized the mass-energy equivalence, E=mc<sup>2</sup>.  When sufficiently energetic photons collide, they can combine and generate matter—matter creation.  All particles have antiparticles, and atoms of matter have antiatoms of antimatter, whose union annihilates the particles and matter while leaving energy.

## Developments

An inspiring development is discovery of mirror symmetry, whereby Calabi-Yau spaces tend to come in pairs such that solutions previously difficult within the extreme vibrational mode of one string can be solved by through the mirror Calabi-Yau space's geometry in its opposite range.

String theory is usually solved through conformal field theory, a quantum field theory on 2D space.  It is confirmed that molecules can collapse to 2D.  And the electron, long presumed an elementary particle, apparently splits into three entities separately carrying the electron's three degrees of freedom when the molecules that contain the electrons are channeled through a 1D pathway.

## Related pages

- M-theory