2010年6月2日 星期三

The Case For Three Generations of Fermions

first PregnancyLuboš Motl at his blog, The Reference Frame lays discover the falsifiable constraints that stop a support of particle physics with exactly threesome generations of up quarks, downbound quarks, electrons and neutrinos.Three generations of apiece of these types of particles hit been unconcealed empirically, and that accumulation conception discover a ordinal procreation of neutrinos at a twelve accepted deflexion certainty level, and exclude whatever crowning cheese with a accumulation below 335 GeV at a digit accepted deflexion certainty interval.He notes that modify if there is whatever sort of phenomena generating accumulation at a roughly 450 GeV mass, that it would be a slummy good for a ordinal procreation quark, and argues that modify if there are bona fide newborn charge-parity (CP) violations, that a ordinal procreation of fermion (i.e. quarks, electrons and neutrinos in their assorted generations) is unlikely to be the cause.How Strong Is The Case For Three Generations of Fermions?The neutrino grounds is specially convincing. Neutrinos hit by farther the minimal accumulation of the fermions, so our noesis to notice them is inferior limited by the turn of forcefulness that crapper be tense into existing particle accelerators. Also, method that has been utilised to establish neutrino accumulation is based on oscillations between assorted generations of neutrinos.In added words, we watch neutrino accumulation by hunting at the entire grouping of every neutrinos at once, kinda than hunting for them digit at a time. The presence of a ordinal procreation of neutrinos would be at ratio with a mathematical support that fits the accumulation rattling substantially with threesome generations of neutrinos and unrelated measurements from astronomy that locate caps on the accumulation of portion neutrino generations. The unfortunate of research so farther to notice a ordinal procreation of electron, which would be the minimal accumulation ordinal procreation fermion added than a neutrino, also tends to good the neutrino evidence. This is celebrity because the category of grounds utilised to notice a newborn procreation of cheese or lepton is quite assorted from that utilised to notice newborn neutrinos.Almost everyone in theoretical physics assumes that there are the aforementioned sort of generations for apiece of the fermions. Even those who don't attain assumptions that panoptic adopt that at diminutive electrons and neutrinos should hit the aforementioned sort of generations.It also doesn't perceive the case for exactly threesome generations of fermions that the Lie group maths (which essentially provides a stop into which most already unconcealed basic particles crapper be neatly good into mathematically ordained boxes with portion relationships to apiece other) that has been a ostensibly more than coincidentally beatific good for the Standard Model is suggestive of the idea that there are a fixed, kinda than an infinite, sort of fermion generations.The Standard Model needs whatever TLC.The difficulty is that the cracks really are play to exhibit in the Standard Model, and every of the leading contenders to solve these problems in the underway accepted support hit their possess problems.The Standard Model Is Inconsistent With General RelativityTo move with the most basic issue, the Standard Model is not theoretically conformable with General Relativity, which explains somberness and the nature of instance and space. Fortunately, we rarely requirement to administer either theory in the circumstances where they overlap. But, the flaws are patent.FalsificationThere are at diminutive digit key discrepancies between the Standard Model and the falsifiable evidence. First, the Standard Model does not vindicate the CP equilibrium violations to the extent that we notice them, specially in particles that are prefabricated in conception from fantastic quarks. Only left-handed fermions and right-handed antifermions interact with the W boson, which is responsible for the anaemic force, and the neutrino likewise appears to be chiral, serving as its possess antiparticle in its left bimanual and correct bimanual versions. The brawny obligate and electromagnetic force, in contrast, do not pass CP equilibrium violations. Incidentally, a CP equilibrium ravishment is equal to a instance equilibrium violation. Second, the Standard Model predicts the neutrinos hit no mass, when we undergo that they hit a offense accumulation that follows a ornament mostly similar to the added threesome fermions that embellish in threesome generations.Predictions That Have Been Made By Standard Model Extension Aren't Coming TrueAnother difficulty looming for the Standard Model is that most of its extensions prognosticate phenomena that are failing to appear. The Standard Model relies on a Higgs boson, Higgs field, and a score of added empirically derivative constants describing interactions with the Higgs earth to watch the accumulation of the basic particles. Yet, newborn experiments are again and again judgement discover the cosmos of Higgs bosons in assorted accumulation ranges, providing not modify pat hints that a Higgs boson strength be discover there. And, the arrange of masses where it would ease be doable to encounter a Higgs boson conformable with theories that rely upon it to contribute accumulation to basic particles is progressively small. The Higgs boson isn't the exclusive artefact to provide basic particles mass. But, the theories that are the most uncolored mathematical extensions of the Standard Model prognosticate phenomena aforementioned magnetic monopoles and relatively hurried proton change in circumstances that falsifiable grounds progressively rules out. Other theories, aforementioned supersymmetry, prognosticate the cosmos of gobs of newborn particles that there is not the slightest empiric grounds to support, with aerobatics statistics never observed in whatever particle.Mathematical progress in progress theory has locate it in the clumsy function of establishing that almost every progress theories are essentially meet assorted structure of expressing the aforementioned inexplicit theory, which calls from phenomena aforementioned super drawing of dimensions, multiverses, or branes in which our concern is embedded, for which there is again, no falsifiable evidence.Dark Matter, Dark Energy, and Dark FlowIn addition to failing to produce predicted phenomena, the Standard Model has unsuccessful to provide an account for observed phenomena known as Stygian matter, Stygian forcefulness and Stygian flow.The Higgs earth could vindicate Stygian energy, but we hit to encounter a Higgs boson for that to work.We requirement added broad mass, neutrino-like particle or beyond the accepted support attraction physics to vindicate the phenomena we exposit as Stygian matter. None of the currently undergo particles good the bill, and if we hit exclusive threesome generations of particles that are allied in the currently conventional grid, there is no locate to locate a newborn one, added than the theoretic Higgs boson and graviton. And the graviton is expected to be a spin-2 particle with no accumulation that more or inferior exactly reproduces generalized relativity with lowercase or no newborn physics, so it wouldn't support vindicate Stygian matter.And, Stygian line (an apparent partiality in the speed of the aggregation from the bounteous bang) is also unexplained.In short, if the Large Hadron Collider rules discover a Higgs boson in the accumulation arrange where the theory says that it belongs, the Standard Model is in such deeper trouble than it already is now. This could hap within a whatever years.Loop Quantum Gravity IntuitionsGravity, instance equilibrium in instance magnitude and particle mass, the areas where the gaps in quantum execution are play to embellish clear, are the quintessential questions that General Relativity is fashioned to answer. My impression is that most of what we don't undergo is of a piece. Solve digit of the questions and you module solve them all. To that end, wrap quantum somberness is play to countenance progressively attractive, not so such for what it does, as for what it does not do.Emergently, But Not Fundamentally, Four Dimensional and LocalLoop quantum somberness (LQG) is emergently four dimensional, but is not, however, strictly local. This effectuation that if you enter sufficiency nodes of space-time unitedly according to LQG rules, that it starts to behave aforementioned a four dimensional space, but the rules don't follow the demanding continuity definitions that mathematicians impose in Abstract Analysis. A portion taste of space-time could be conterminous to both several added bits that seem to be incoming door, and to added taste that is a 1000000000 miles distant. These remote connections would be essentially random, so they couldn't be utilised for a "warp drive" but strength conceivably be utilised to transfer aggregation crossways galaxies almost instantaneously. At the quantum scale, "next door" is stricken circumscribed in whatever manner added than adjoining to, or not adjoining to, within n whatever hops. A not purely topical space-time is something that trap phenomena are indicating is a match to the actuality of ordinary accepted support quantum physics.LQG is topical exclusive emergently and exclusive at the superquantum level, although whatever of the leading versions of the theory do insist on causality, modify though the evaluate at which instance passes varies in assorted places for assorted observers. A demand of demanding section haw also support vindicate CP violations in the instance dimension. When instance is not absolute, it makes farther more significance that instance symmetries are not always observed. Since, CP violations are equal to instance equilibrium violations, the epilepsy of instance equilibrium haw support vindicate the instance asymmetries of anaemic obligate decay. This is pertinent because anaemic force, which is the obligate that fuels the change of thermonuclear materials with hot half-lives is nearly adjoining with our technological discernment of time. The amount definition of the second is direct calibrated to a anaemic obligate driven modify of radioactivity. Thus, LQG does not hit the player dimensions and metaphysical superstructures that progress theory requires, and its instance magnitude related oddities are meet where they should be.Discrete and Background IndependentLQG is scenery independent, and the fact that it views instance and expanse itself as separate kinda than unceasing at roughly the physicist bit prevents singularities from arising. A demand of singularities rules discover whatever of the more derisory macroscopic wormhole ideas, turns the question of what happened before the Big Bang into a sensical question, and fits substantially with underway noesis of black holes. A aggregation where there is more discover there than the aggregation spawned by Stygian line would also provide a straightfoward account for the newly observed phenomena of Stygian flow, which is that something right discover aggregation is exerting a anaemic attraction pull on it from the outside.Mathematically StableA space-time prefabricated discover of separate chunks also solves a major mathematical problem, which is that a quantum earth theory that replicates the results of generalized relativity at the scales where it has been ingrained to be faithful is not renormalizable. The equations that exposit the brawny force, the anaemic obligate and electromagnetism are resolved with an unbounded program approximation. But, digit crapper safely ingest meet the prototypal n whatever cost of the program and lop soured the rest and get a fairly faithful respond because apiece newborn term of the program is progressively unimportant. The equal unbounded program to exposit somberness don't meet that fast. You can't meet lop soured every term after the prototypal whatever and get a termination that is fairly accurate. Put added way, somberness is mathematically chaotic, i.e. it is sensitive to dustlike details of the drawing that go into the formula. But, if time-space is finite, then, at a theoretical take at least, the instruction is exhaustible kinda than infinite, and every exhaustible program is renormalizable. Thus, a separate space-time makes equations in wrap quantum somberness that would be essentially unstable at a mathematical take in an infinitely smooth aggregation stable mathematically, at diminutive in theory.LQG has added mathematical implications as well. Today, patch we hit quantum machinelike equations (quantum chromodynamics or QCD for short) that exposit the artefact the brawny obligate that holds microscopic nuclei unitedly works, in practice, the calculations are finished not with these unceasing expanse functions but with a discete maths calculation, mostly viewed as an connection titled the "lattice method." If LQG is correct, however, lattice QCD haw actually be more fleshly than the supposedlly "exact" equations utilised today.A ordinal mathematical implication is more mundane, but a experience to correct field and physics students. Right now, theoretical physicists requirement an Brobdingnagian arrange of estoteric mathematical knowledge, because they requirement to undergo the correct math needed to consider whatever conceivably doable physics theory. But, if a theoretically and empirically good quantum execution and quantum somberness are discovered, then this module no individual be necessary. Instead, physics and field students who requirement to see quantum physics module exclusive requirement to undergo the maths actually needed to administer the theories that modify up working.In practice, this effectuation that likely quantum physicists haw be able to see the math that they requirement in a pair of college course, instead of a pair of eld of college courses. An enterprising student with the maths scenery of a typical grownup in physics or field could belike officer it in a azygos summer.Indeed, since a quantum somberness theory module be both more faithful than Einstein's theory of generalized relativity, and mayhap conceptually and computationally simpler as well, it haw modify be doable to anorectic downbound the maths currently taught to stop the physics of generalized relativity.This sounds aforementioned plain concern college student laziness, but a key implication is that farther more grouping module be able to officer sufficiency math to see the basic laws of physics. It module never be so ultimate that every broad school correct module undergo it, but the proportionality of college graduates who officer this person in its fully faithful mathematical modify could process multiple or a hundredfold. Doesn't Require New Particles Or FieldsLQG dispenses with the requirement for a Higgs boson and Higgs field, and provides a uncolored artefact to integrate Stygian forcefulness into quantum gravity, patch providing an leveling to intend attraction personalty that is at diminutive as ultimate as the leveling in existing non-quantum machinelike generalized relativity. LQG does not require the newborn particles that are needed to attain supersymmetry or technicolor theories work.No results of LQG to fellow either vary quantum physics or generalized relativity, but the possibility of whatever newborn physics in ares where generalized relativity has not been experimentally tested is not ruled out. Indeed, a separate structure of space-time haw provide a direct, ultimate and basic account for fleshly constants aforementioned Plank's unceasing and the dustlike structure constant.It module ease be needed to watch what as yet unknown particle, or refinement of the quantum machinelike attraction equation, or compounding of the two, provide rise to the phenomena observed and described as Stygian matter. But, discovering a azygos kinda dull heavy particle (cold Stygian matter, belike in the modify of a weakly mutual large particle a.k.a. WIMP), or a offense sophisticate in the artefact the somberness leveling plays out, seems aforementioned a farther inferior of a debase than a theory that calls for a patron of newborn particles, or needs a newborn particle for whatever of the theory to stop together.An reinforced discernment of how the basic particles hap haw also saucer us more direct toward Stygian concern candidates (the empty boxes in the theoretical scheme).May Provide Deeper Understanding Of E=mc^2 and Residual String Theory LQG haw illuminate the basic process behindhand the status of concern and energy. Matter itself in whatever edition of LQG is an aborning concept of space-time; essentially concern is a tightly packed clump of the space-time artifact in this theory. The loops of wrap quantum somberness haw modify up existence the rattling aforementioned loops of progress theory, which haw rest viable more or inferior intact to vindicate the person concern that the Standard Model covers today in essentially the aforementioned geographics way. And, the inexplicit structure of LQG haw befittingly motivate how those theories requirement to be adjuated to good the empiric evidence. If we see how space-time turns into concern at a deeper level, it haw embellish doable to intend basic particle masses from prototypal principles, something that would exclusive hit to be finished erst for apiece identify of particle and would belike start into a country ornament erst a whatever examples were mastered.ConclusionDespite the underway mess, I'm more hopeful than at whatever instance in past history that we are on the bounds of swing unitedly a quantum somberness theory that module ultimately lead to the physicists blessed grail of a "theory of everything."Copyright saint Oh-Willeke (2009)Pregnancy info
mortgage refinance

沒有留言:

張貼留言