The reality of the cosmos through beautiful and simple equations
"It seems that if one is working from the point of view of getting beauty in one's equations, and if one has really a sound insight, one is on a sure line of progress."
Paul Dirac (considered the greatest english phisicist after Newton)
Paul Dirac (considered the greatest english phisicist after Newton)
A random universe, fruit of a blind chance should be infinitely more chaotic and will need infinitely more complex equations to be translated and explained.
Here follows some equations were we see simple and elegant expressions explaining fundamental and complicate stuff.
Here follows some equations were we see simple and elegant expressions explaining fundamental and complicate stuff.
Geometry has two great treasures: one is the theorem of Pythagoras, the other the division of a line into mean and extreme ratio. The first we may compare to a mass of gold, the second we may call a precious jewel.
Johannes Kepler
V  E + F = 2 EULER'S POLYHEDRON FORMULA
Take a polyhedron, for example the cube, count the number of vertices, and call this number V. The cube, for example, has 8 vertices, so V = 8. Next, count the number of edges the polyhedron has, and call this number E. The cube has 12 edges, so in the case of the cube E = 12. Finally, count the number of faces and call it F. In the case of the cube, F = 6.
Euler's formula tells us that the number of vertices, minus the number of edges, plus the number of faces, is equal to two. (Taken from https://plus.maths.org/content/eulerspolyhedronformula
The two last solids, the dodecahedron and the icosahedron are both constructed on the divine proportion. Try to create one with old credit cards, they are close to golden rectangles.
Take a polyhedron, for example the cube, count the number of vertices, and call this number V. The cube, for example, has 8 vertices, so V = 8. Next, count the number of edges the polyhedron has, and call this number E. The cube has 12 edges, so in the case of the cube E = 12. Finally, count the number of faces and call it F. In the case of the cube, F = 6.
Euler's formula tells us that the number of vertices, minus the number of edges, plus the number of faces, is equal to two. (Taken from https://plus.maths.org/content/eulerspolyhedronformula
The two last solids, the dodecahedron and the icosahedron are both constructed on the divine proportion. Try to create one with old credit cards, they are close to golden rectangles.
LiveScience asked scientists for their favorite equations. Take a look at what they found:
http://www.livescience.com/26680greatestmathematicalequations.html
http://www.livescience.com/26680greatestmathematicalequations.html
AN INCREDIBELY COMPLEX UNIVERSE MADE OF ONLY 12 PARTICLES AND 4 FORCES
What is actually known of the universe can be resumed with these two images
Gravity is not yet explained in this "standard model". Here follows the simple equation which solve a mistery about gravity with another squared relation between mass and distance:
LET THERE BE ELECTROMAGNETISM! AND THERE WAS LIGHT!
The four laws of electromagnetism explained at http://www.maxwellsequations.com


DIRAC EQUATIONS
Dirac request was that his equations must be beautiful in order to be true
Here just a few things contained in this equation:
 an accurate account of the spectrum of hydrogen;
 prediction of the magnetic moment of the electron;
 negativeenergy states and antiparticles;
 when applied to other spin1/2 particles, namely the muon, proton and neutron, the Dirac equation and the system of γmatrices provided the framework which established the form of the weak interactions in a very exciting chapter of 20th century physics;
 the equation is one of the foundations of today’s standard model of particle physics. It describes quarks, electrons, muons, and neutrinos, and their strong, electromagnetic, and weak interactions.
(Taken from http://arxiv.org/pdf/hepth/9408175.pdf)
COULOMB'S LAW OF FORCE
is the basic law of electrostatic which states that the force between two charged particles which consists of magnitude force is directly proportional to the product of their charges or inversely proportional to the square of the distance between them.
Where, K = Coulomb constant Q1 & Q2 = Points charge r = Distance F = Electrostatic Force
Watch this video from minut 51 describing the beauty of the equations of a fine tuned universe