Santa Fe Institute’s Post

« Ten equations that revolutionized physics🥰!! 1. Newton's law of universal gravitation F = G•m₁m₂/r² 2. Maxwell–Heaviside equations ∇.D = ρ ∇.B = 0 ∇xE = -∂B/∂t ∇xH = J +∂D/∂t 3. Second law of thermodynamics dS ≥ 0 4. Navier–Stokes equations ρ•DV/Dt = - ΔP + μ∇²V + ρg 5. Einstein mass–energy equivalence formula E = mc² 6. Heisenberg uncertainty principle Δₓ Δₚ ≥ ħ/2 7. Schrödinger equation E ψ(r) = - ℏ²/2m • ∇² ψ(r) + V ψ(r) 8. Dirac equation (iγᵤ∂ᵘ - m)ψ = 0 9. Einstein's general theory of relativity Rᵤᵥ - ½Rgᵤᵥ + Λgᵤᵥ = 8πG/c⁴•Tᵤᵥ 10. The density Lagrangian of Yang-Mills L = -1/4FᵤᵥFᵘᵛ + iψ̅Dψ + ψYψΦ + DᵤΦDᵘΦ - V(Φ) »–Theory of Everything

« Ten equations that revolutionized physics🥰!! 1. Newton's law of universal gravitation F = G•m₁m₂/r² 2. Maxwell–Heaviside equations ∇.D = ρ ∇.B = 0 ∇xE = -∂B/∂t ∇xH = J +∂D/∂t 3. Second law of thermodynamics dS ≥ 0 4. Navier–Stokes equations ρ•DV/Dt = - ΔP + μ∇²V + ρg 5. Einstein mass–energy equivalence formula E = mc² 6. Heisenberg uncertainty principle Δₓ Δₚ ≥ ħ/2 7. Schrödinger equation E ψ(r) = - ℏ²/2m • ∇² ψ(r) + V ψ(r) 8. Dirac equation (iγᵤ∂ᵘ - m)ψ = 0 9. Einstein's general theory of relativity Rᵤᵥ - ½Rgᵤᵥ + Λgᵤᵥ = 8πG/c⁴•Tᵤᵥ 10. The density Lagrangian of Yang-Mills L = -1/4FᵤᵥFᵘᵛ + iψ̅Dψ + ψYψΦ + DᵤΦDᵘΦ - V(Φ) »–Theory of Everything

📐 James Joule is one of the most prominent founders of the discipline of thermodynamics, and perhaps one of the greatest experimentalists who ever lived. He was also a Bible believing Christian who saw no conflict between faith and science. In fact, it was his faith that drove him to pursue science. #JamesJoule #sciencehistory #sciencefacts #modernscience #thermodynamics #energyconservation #faithandscience

Contact topology and non-equilibrium thermodynamics by Leonid Polterovich https://lnkd.in/eYuGcwAN Abstract We describe a method, based on contact topology, of showing the existence of semi-infinite trajectories of contact Hamiltonian flows which start on one Legendrian submanifold and asymptotically converge to another Legendrian submanifold. We discuss a mathematical model of non-equilibrium thermodynamics where such trajectories play a role of relaxation processes, and illustrate our results in the case of the Glauber dynamics for the mean field Ising model.

"Playing the role of philosophical gadfly, we pour a little cold water on the claim that BHT is more than a formal analogy. First, we show that BHT is often based on a kind of caricature of thermodynamics. Second, we point out an important ambiguity in what systems the analogy is supposed to govern, local or global ones. Finally, and perhaps worst, we point out that one of the primary motivations for the theory arises from a terribly controversial understanding of entropy. BHT may be a useful guide to future physics. Only time will tell. But the analogy is not nearly as good as is commonly supposed." https://lnkd.in/etGh6F-i

We are conditioned to expect a complicated answer to life's big questions But what if a much simpler answer resolves the significant differences in physics theory? I postulate that there are two components to existence - nothing (true zero, not empty space) and energy. Energy is in constant motion, creating mass and force, nothing is the only true infinity and when appled dictates that distance does not exist and in an interpretation of the force needed to move energy between "bodies". Or chaos or string theory....

What if we cooled the earth we would die. So blocking the sun destroys the energy in the circuit destroying life in a few years The Most Misunderstood Concept in Physics is entropy Enthophy is the energy in the system Entropy is the measure of the disorder of a system. It is an extensive property of a thermodynamic system, which means its value changes depending on the amount of matter that is present. In equations, entropy is usually denoted by the letter S and has units of joules per kelvin (J⋅K−1) or kg⋅m2⋅s−2⋅K−1. A highly ordered system has low entropy. https://lnkd.in/dgp-ti-Z

Hello everyone. A friend of mine shared the following info for an interesting meeting on physics of Complex Systems and Stochastic Processes. Topic include random walks, econophysics, dynamical systems, quantum thermodynamics and more. Take a look if it sound interesting to you.

JPCM is highlighting“Quantitative predictive theories through integrating quantum, statistical, equilibrium, and nonequilibrium thermodynamics”.

PHYSICS CONCEPTS; BRITTLE; DUCTILE; BREAKING TENSION; STRAIN ENERGY; HORSE & CART FOR JEE MAINS #JEEMADEEASYKOTA, #NEETMADEEASYKOTA, #PHYSICSMADEEASYKOTA, #NDAMADEEASYKOTA