Potential theory mentioned in my previous post is a branch of applied mathematics and is used by many of the sciences.
This AI compiled list ignored one of the more profound examples of potential theory, the birth of the universe according to the Hot Big Bang theory.
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| Field of Science or Study | Theory or Concept | Description / Principle (Energy Landscape Perspective) |
|---|---|---|
| Physics | Gravitational Potential Energy Landscape | Describes how mass distributions create valleys (stable states) and peaks (unstable points) in gravitational potential; objects move toward minima of potential energy. |
| Quantum Mechanics | Quantum Potential Wells and Energy Landscapes | Particles occupy quantized energy states within potential wells; transitions occur when sufficient energy allows crossing to higher or adjacent wells. |
| Thermodynamics | Free Energy Landscapes (Gibbs or Helmholtz) | Systems evolve toward configurations of minimum free energy; metastable and stable states correspond to local minima on the energy surface. |
| Climate Science | Climate Energy Landscape Model | The Earth’s climate can be represented as an energy landscape with multiple potential wells (stable climate states) separated by barriers (tipping thresholds); feedbacks shape the surface. |
| Geophysics | Tectonic and Gravitational Energy Landscapes | Earth’s crust and mantle evolve through potential minima defined by gravitational and elastic energy; transitions occur during earthquakes or mantle convection. |
| Oceanography | Potential Energy Surfaces and Circulation Stability | Oceanic masses move along gradients in gravitational and density-derived potential energy; multiple equilibrium states can exist in thermohaline circulation. |
| Astrophysics | Stellar and Planetary Stability Landscapes | Stars and planetary systems evolve within combined gravitational and thermal energy landscapes; collapse, ignition, or equilibrium correspond to different minima. |
| Chemistry | Reaction Energy Landscapes | Chemical reactions proceed along potential energy surfaces with reactants and products at minima, and activation barriers representing transition states. |
| Biophysics | Protein Folding Energy Landscape | Proteins explore a rugged energy landscape; folded structures correspond to global or local minima of potential energy. |
| Ecology | Ecological Stability Landscapes | Ecosystem states are modeled as basins of attraction in an energy landscape; disturbances can push systems over thresholds into alternate stable states. |
| Economics (Complex Systems) | Energy-Like Potential Landscape Models | Economic and social systems are sometimes represented as energy landscapes where equilibria correspond to minima and shifts occur when barriers are crossed. |
| Mathematical Modeling | Nonlinear Dynamical Potential Landscapes | Uses scalar potential functions to visualize how systems move between attractors; stable equilibria correspond to minima, unstable equilibria to maxima. |
This AI compiled list ignored one of the more profound examples of potential theory, the birth of the universe according to the Hot Big Bang theory.
what is the evidence that universe is 13.7B years old?
I have a question about your post. We are speaking of the "beginning of our universe - specifically the "Big Bang Theory". My expertise ends at The Big Bang Theory being one of my favorite shows, so forgive me if my question seems silly. @PeterDona mentioned the law of thermodynamics (I...
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