Assumptions

Space & Time, Absolute or Relative?

Space-Time & Interval between two Event

All of them with speed of light at Space-time

Einstein Equation: New vision

Zero Mass! Light

Creation of Einstein

General Relativity (Einstein, beautiful mind, exquisite idea)

From Galileo to gravitational waves from neutron couple

Framework for Theoretical Physics

Introduction to the theory of chaos and Danaki

To Be & To Become

Dimensions of space-time

The chaotic reality

Bifurcation in the phase space

Creation

Fantasy home

The concept of time – "Creator"

Plowing space-time

Mandelbrot set, Riemann & Danak model

Electron fall

Matter waves

Certainty and Imagery

To be and not to be

The possibility of excitement in the imaginary

Hidden relations and timelessness

Bell’s inequality

Quantum reality and the brain

Introduction to Affine Geometry

Affine Graid Transformation

Vector/ Matrix concept

Three Approaches to a single problem

The system of equations Aū = b

Transformation Matrices

Solving a system of linear equations

Column space/ Null space

Eigenvectors & Eigenvalues

Matrix Exponential e^Ax

Nature’s Equation (Euler- Lagrange)

Einstein’s play ground

Galilean vs Lorentz Transformations

Hyperbolic Geometry & Lorentz transformation

Relativistic Effects

Space-Time 4-vector

Introduction to classical relativity fields

Non- Linear Dynamic

Analysis of system behavior

Bifurcation

Mathematical Model of simple Laser

Oscillatory systems (1D)

Two dimensional flows

Non-Linear systems, 2D

Non-Linear , Applications

limit cycle & Bifurcation

State space/ Complex vector space

Complex vector space

Relationship between Classic ideology and Quantum ideology

Postulates of quantum mechanics

Electron spin, Space Dimensions and Brain

Wave function & physical reality

Operators and Matrix representation

Similarity/ Unitary transformation

Uncertainty principle

Momentum operator

A window to reality (Two-slit experiment)

Nöether & unification in physics

Schrödinger equation

ih{...}

Nature’s Equation (Euler- Lagrange)

Principle of Least Action

Generalized Coordinates/ Constants

Constraints & Lagrange Multipliers

Nöether Theorem (symmetry & conservation)

Relativity & Quantum

Hamiltonian Formalism Hamiltonian Dynamical system

Hamiltonian Formalism Poisson Bracket

Hamiltonian Formalism Liouville ˊs Theorem

Hamiltonian Formalism Canonical Transformation

Hamiltonian Formalism Liouville- Arnold Integrability

Hamiltonian Formalism Periodicity & chaos

Hamiltonian Formalism Quantum chaos/ Riemann Zeta Function

Hamiltonian Formalism Symplectic Group/ Standard model

Hamiltonian Formalism Semi- classical Quantization

Hamiltonian Formalism Quantum vs classical

System solubility (Liouville- Arnold Integrability)

Periodicity & chaos

Quantum chaos/ Riemann Zeta Function

Growth phenomena (nonlinear effects)

System Dynamics via vector fields

Dimensions of space-time

Fundamental elements of phase space

Limit cycle Bifurcations

Bifurcation in Nature & Technology Danaki Biology:Where have we come from?

Danaki Biology: Formation of organs

From Plato to Schrödinger

Schrödinger equation & energy Eigenstate

Quantum Dynamics

Hamiltonian in Hilbert & phase space

The effect of potential function

Scattering states

Quantum tunneling (Creation, Nuclear energy)

Quantum harmonic oscillator (Zero- point Energy)

Quantum Angular Momentum

Quantum Angular Momentum … cont. (Spin)

Quantum Mechanics in 3 Dimensions (Hydrogen Atom)

Introduction

Newtonian Gravitational Field

Principle of Equivalence

Geodesic of Free Fall

Curved surface/ Tidal force

Mathematical language of General relativity (1) A extrinsic and intrinsic geometric

Mathematical language of General relativity(2) Tensor

Mathematical language of General relativity (3)

Mathematical language of General relativity (4)

Mathematical language of General relativity (5)

Mathematical language of General relativity (6)

Mathematical language of General relativity (7)

Mathematical language of General relativity (8)

Mathematical language of General relativity (9)

Cosmological constant & Dark Energy

General Relativity & Lagrangian Formulation

Introduction

From Einstein to Hubble

Friedmann Equation (Newtonian Cosmology)

Dark Matter & Dark Energy

Black Holes

Geometry of Space & the FRW Metric

Properties of the FRW Metric

Friedmann Equations from GR

Dynamics of the Universe via General Relativity

Black Holes (I): Schwarzschild Metrics

Black Holes (II): Singularities & The Coordinates

Black Holes (III): Kruskal Coordinates, White Holes, Wormholes

Black Holes (IV): Maximally Extended Geometry & Wormholes

Black Holes (V): Wormholes & Penrose Diagrams

Introduction

Plato, Abstract Algebra & Reality

From Al-Khazini to Cayley Algebra

Invariance & Symmetry

Permutation and Quaternions!

Polynomial Roots: From Mesopotamiato Lagrange

Galois Theory I

تئوری گالوا -2

تئوری گالوا -3

تئوری گالوا -4

Emerging Universe

Foundations of Mathematics- revisit Axiomatic systems

Geometric Clifford Algebra

Physics unified mathematical Language

A new kind of physics!

Emergence of space

Clifford Algebra 1&2

Clifford Algebra 1&2

Clifford Algebra 3

Clifford Algebra 4

Clifford Algebra 5