Tag Archives: Physics

Mathematica MyToE on the Wolfram Cloud

I am playing around with the Wolfram Tweet-a-Program, and the Wolfram Language (i.e. Mathematica) on the Wolfram Cloud.

What’s really cool is that you can now interact with advanced math and HPC on your phone/tablet.

Here are a few results…
@Wolframtap

ByeDZ-oIgAA8tZz

ByzPbCqIQAAzUJq.png large

BTW – you will need a WolframID (and be logged into WolframCloud.com) to interact with these pages.

Octonions: The Fano Plane & Cubic

MTMcloud-Fano

Dynkin Diagrams

MTMcloud-Dynkin

E8 and Subgroup Projections

MTMcloud-E8

Particle Selector

MTMcloud-Particle

Hadron Builder

MTMcloud-Hadron

Navier-Stokes Chaos Theory, 6D Calabi-Yau and 3D/4D Surface visualizations

MTMcloud-Chaos

Solar System (from NBody Universe Simulator)

MTMcloud-NBody
4D Periodic Table

MTMcloud-Atom

Universal History Simulations Added

I’ve added more features to the Universal History N-Body Gravity OpenCL GPU Simulation. Here are a few snapshots…

Big Bang – Planck Epoch
outNBody_1a (7)

Inflationary Epoch(s) w/Pre & Post (These are built into my ToE as an accelerating space-time, varying FineStructure, c and hBar)

ElectroWeak Symmetry Breaking Epoch
outNBody_1a (10)

Quark-Gluon Plasma Epoch
outNBody_1a (11)

Meson Epoch
outNBody_1a (5)

Baryon Epoch
outNBody_1a (4)

Lepton Epoch
outNBody_1a (6)

Big Bang NuceloSynthesis Epoch- Nuclei of Hydrogen/Helium/Lithium
outNBody_1a (2)

Photon Epoch- Atoms of Hydrogen/Helium/Lithium
outNBody_1a (3)

Matter Dominated Stellar NucleoSynthesis- Quasars
outNBody_1a (9)

ReIonization- Galaxies
Galaxy

Dark Ages- Large Scale Structure
outNBody_43a

Recombination- Solar Systems/Chemistry/Biology/Sociology
outNBody_1a (8)

Zeleny's Hadron Decay Wolfram Demonstration added

This weekend I integrated a fantastic demonstration by Zeleny which allows the visualization of the composite Quark particle decays. I’ve integrated it into the sixth (Hadron) pane which starts with Blinder’s demonstration to visualize the composite Quark-Gluon particles. These demonstrations are extended by allowing the selection of 2 Quark Mesons, 3 Quark Baryons and recently discovered 4 and 6 Quark Hadrons and also drives content of the E8 sub group projection pane (#3). I also added a query to show all experimentally discovered composite Meson/Baryon particles with the same quark content and added a decay mode button when decays are in Wolfram’s ParticleData Group curated data set.

decays

hadrons

I've added an N-Body Gravitational Simulation Pane and enhanced the Composite Quark Hadron Model Pane

The N-Body Gravitational Simulation (not yet complete) uses Mathematica’s OpenCL GPU computing capability to simulate standard (Solar System), GR (Black Hole Centered Galaxy formation), Large Scale Universal Structure, and Quantum GR (Big Bang Inflationary) physics.

I’ve consolidated the Meson/Baryon panes into a single Hadron pane that now includes the formation of the recently validated TetraQuark Hadrons.

Please see ToE_Demonstration.cdf or as an interactive web page) that takes you on an integrated visual journey from the abstract elements of hyper-dimensional geometry, algebra, particle and nuclear physics, and on to the atomic elements of chemistry. It requires the free Mathematica CDF plugin (25 Mb). ToE_Demonstration.nb is the same as CDF except it includes file I/O capability not available in the free CDF player. This requires a full Mathematica license (25 Mb).

outNBody-1b

outNBody-1a

QM-GR-N-Body

Meson

Baryon

TetraQuark

Added PMNS and CKM particle mixing matrix calculations to ToE_Demonstration.CDF

I’ve improved on a great Wolfram demonstration from Balázs Meszéna on Neutrino Oscillations by adding capabilities to view both the PMNS and CKM unitary triangle matrices, print and reference my ToE Neutrino mass predictions, which now accomodate the Koide relationships in particle masses.

Check out the new demonstrations using free interactive web plugin , .CDF, or .NB (for licensed Mathematica users) and social media integrations for comments, pages and posts.

This new pane (#5) presents the Unitarity of CP=T violations by combining the Lepton (Neutrino) Pontecorvo-Maki-Nakagawa-Sakata matrix (PMNS) with the Quark Cabibbo-Kobayashi-Maskawa (CKM) mixing matrix calculations through the Quark-Lepton Complementarity (QLC).

I am also working to incorporate the Koide particle mass relations to MyToE predictions.

ToE_Demonstration

JGM_ToE-15t

Code snippets showing the CKM and PMNS matrix calculations based on the UI.

JGM_ToE-15v

JGM_ToE-15u