by quapan

Though its origin is disputed, the phrase the proof of the pudding is in the eating is popularly attributed to Cervantes 1615 comic novel Don Quixote. And while one can talk about a puddings ingredients all they want, the sayings meaning stays intact when shortened to the proof is in the pudding – because that is where you will ultimately find it; if you bother to at least taste it as its the results that count.

Which is unlike a mathematical proof obtained by logic alone since ones pallet will sometimes disagree with what one thinks is a delicious recipe. In this sense, the implied dichotomy is akin to Keplers contribution to elliptic geometry, which per se is independent of experience in the sense that elliptic theorems can be constructed and proven without appeals to any physical phenomena. But in practice Kepler refined Copernicuss resurrected heliocentric heresy of planetary orbits in a manner that just as clearly is non-abstractly physical and empirically testable. Which ultimately is the key characteristic of the scientific method or revolution, soon further cemented by Newton and Galileos discoveries expressing physical laws by experimental confirmation of their mathematical formulation.

This report accordingly will further pare the phrase down to a Pudding Proof that employs multiple means of what a mathematical formula represents, not only being theoretically correct in multiple senses, but confirmed to be correct by a clear correspondence with the most precisely measured empirical value in high-energy particle physics, specifically the neutral weak or Z-boson mass. For the Zs present measured mass value (http://pdg.lbl.gov/2007/listings/s044.pdf) of 91187.6 +2.1 MeV (million electron Volts) is what truly represents the operative meaning of this term with respect to being the ultimate result as physical proof of the following equation and invariant mass for the Z-boson: Z = 91187.633 MeV = 9u1/8 + ms – mb;

though one then doesnt really need to know the mass m of the strange and bottom quarks, or the Higgs vacuum minimum u1.

Likewise, how we obtained these other, presently (grossly) unknown, values isnt at issue either, though obviously it was not achieved by empirical measure nor is related to this equation. Which isnt meant to squelch natural curiosity, as anyone interested in a history of these discoveries is directed to a preceding article (ezinearticles.com/?The-Meaning-of-a-Precise-Dimensionless-Fundamental-Physical-Constant&id=725742) describing the dimensionless scaling system of physics that generates the gamete of such fundamental physical constants. In any case, assuming Im not lying (which is just as provable – if any chumps want to make a bet?), these unknown masses contribute to this equation to give the above Z-mass that corresponds precisely with its measured mass average. But then this pudding proof basically refers not just directly to the Z-mass, but more importantly empirically implies that these three non-given or `ill-measured fundamental masses are just as precisely determined and confirmed as proven mass values as the Z itself!

And though this empirical pudding proof seems unprecedented with regard to the implication of the validity the precision of a parameter such as a strange or bottom quark mass (that cant be directly measured anyway), it certainly remains an outstanding example of the validity of empirical measure as the bedrock of scientific method. For the ultimate strength of the dimensionless numerical scaling system that sets it apart from all other modern theoretical models is evident from the raft of confirmable predictions it makes and largely are presently accessible in well-tested standard contexts (such as the Z) that require no greater experimentally contrived studies to test whether some theoretical interpretation is correct.

Yet in a related regard, the equation for the Z-mass itself represents multiple theoretical proofs that strengthen the outstanding empirical correspondence with the pudding of its measured mass. The first matter in this regard straddles both spheres in that the predominant observed or theoretical decay products of a weak neutral boson are admixtures of bottom with strange and/or down quarks in heavy mesons, and practically is the only known particle that can directly decay to a strange Bs-meson. Which according to our equation consists of a e/3-charged b-quark with a +e/3-charged strange antiquark which thus assures the charge neutrality of a Bs-meson. Then over and above these confirmed theoretical considerations with respect to the equations quarks, there looms the fundamental observations of Peter Higgs concerning the origin of mass in general, and specifically with respect to electroweak symmetry breaking by which the weak Z and W gauge bosons acquire a mass from some mechanism while leaving photons massless. The above equation employs the appropriate Higgs field mechanism best called the vacuum minima u1, which is again generically associated with the 3rd generation bottom of the -1e/3 down quark family, in the same sense that the heavier Higgs vacuum doublet u2 represents a neutral pair of tops of the +2e/3 up quark family. (Incidentally cognoscenti, they saw evidence of the light Higgs boson before CERN replaced the lepton collider with the Large Hadron over five years ago, which thankfully will generate the far more fundamental Heavy Higgs scalar when that pudding is ready to take out of their oven. [So its a big deal for them, but its just the basic, strongest set parameter in a real system of numeric Planck-scaling so knowing its mass is no big whoop, Id say the Nobel should go to the machine itself i.e. it should be a bigger deal for everyone and God when they witness baryogenesis {creation of nuclear matter over antimatter}]!)

Actually the above equation is one of two expressions for the Z-mass, as the other naturally involves its relation to the charged W-boson mass. The W itself is the predominant decay product from the heavier ‘Higgs vacuum doublet’ of a top/antitop pair where convention has the +2e/3 top imparting its +charge to the W in mediating a transformation to a 1e/3 bottom. So once again the Higgs fields impart their mass to quarks and gauge bosons, where each theoretical argument reinforces others (there being further supporting pudding proofs that involve equations for neutral and charged pairs of B-mesons that reinforce the basic equation for Z-mass, for example.) And each theoretical nuance is of course supported by the latest measures of these mass values. But the mathematical form of these equations give insights into theoretical and predictive empirical realms that are unavailable in any other standard theoretical scheme. Example: Ill give a hundred dollars (Id make it more but care too much to be going broke) to anyone who can find a reference containing the above equation for the Z-mass.

Having established that theoretically its a perfectly good equation, there should be some possibility its not unique. But I highly doubt it would ever have been published, especially without any knowledge of these other parameters; that I can safely assume are within my copyrights if just because of the strength of this Pudding Proof demands it. Which brings us back to the basic meaning of this old saying the results are in the tasting and eating of the pudding. And the bottom line test of this principle after the above equation has been posted for six years on this web of the so-called information highway is this Ive yet to find an individual who is capable of appreciating a pudding full of yummy plums and proofs, let alone anyone who wants to eat any and taste the results for themselves. But real pudding isnt intended for foolish authorities who only remember how to speak with forked tongue, its made for the likes of you and I who experience the joys of eating or speaking with one tongue yum!

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*Particle physics*

* 1pm-3:05pm @ David Brower Center, Tamalpais Room

The Future of Particle Physics

Chair: Steve Boggs (UC Berkeley)

Featuring talks by:

1. Nima Arkani-Hamed — Motivations for 100km Circular Colliders

2. Lawrence Hall — New Searches for Dark Matter in Particle Collisions

3. Beate Heinemann — The LHC and beyond: what can colliders teach us?

4. Gabriel Orebi Gann — Unravelling the Secrets of the Universe with Neutrinos

5. Tom Shutt — The Hunt for Dark Matter

The 2016 Breakthrough Prize Symposium is co-hosted by UC Berkeley, UC San Francisco, Stanford, and the Breakthrough Prize Foundation. This daylong event includes talks and panels featuring Breakthrough Prize laureates in Fundamental Physics, Life Sciences and Mathematics, as well as other distinguished guests. For more details on the day’s activities please visit: http://breakthroughprize.berkeley.edu/symposium

2016 Breakthrough Prize Symposium, Fundamental Physics: The Future of Particle Physics

__Particle physics__