For the advancement of human science
No object or phenomenon in the universe is ever at rest due to the energy field \( E \), which always has an energy gradient (\( \nabla E \)), creating an energy displacement force (\( \vec{F} = m \cdot \frac{2\pi r^3}{M} \nabla E \)) that causes everything to move from regions of high potential energy to regions of low potential energy, following the principle of minimum energy. This energy gradient arises from matter, dark energy, and cosmic interactions, leading to all forms of motion, from planetary orbits, blowing winds, moving electrons, to ocean currents and galactic rotation.
Planets move in elliptical orbits around the Sun due to the energy gradient in the energy field \( E(r,t) = \frac{G M^2}{8\pi r^4} + E_0(t) \), where \( M \) is the Sun’s mass (\( 1.989 \times 10^{30} \, \text{kg} \)). The energy gradient (\( \nabla E \)) creates a centripetal force, causing planets like Earth to move at an orbital velocity of approximately \( 29.78 \, \text{km/s} \). Potential energy decreases as it is converted into kinetic energy, sustaining perpetual motion in accordance with the principle of minimum energy.
Calculation: For Earth (\( r \approx 1.496 \times 10^{11} \, \text{m} \)):
Energy gradient:
This force keeps Earth in orbit, illustrating continuous motion due to energy gradients.
Wind and clouds move due to energy gradients in the atmospheric field, caused by differences in pressure and temperature. High-pressure regions (high potential energy) push air toward low-pressure regions (low potential energy), creating winds. For example, monsoon winds can reach speeds of up to \( 15 \, \text{m/s} \). Solar heat warms the air, creating an energy gradient (\( \nabla E \)) that drives clouds and air movement.
Visualization: The atmospheric energy field is like a river, with air and clouds flowing from high regions (high pressure) to low regions (low pressure).
Electrons move around atomic nuclei due to energy gradients in the electromagnetic field, described by the Schrödinger equation. The potential energy of an electron in the Coulomb field (\( E \propto -\frac{e^2}{4\pi \epsilon_0 r} \)) creates an attractive force, causing electrons to oscillate at high frequencies (approximately \( 10^{15} \, \text{Hz} \)). The energy gradient (\( \nabla E \)) ensures electrons are never at rest, illustrating quantum motion.
Calculation: For an electron in a hydrogen atom (\( r \approx 5.29 \times 10^{-11} \, \text{m} \)):
The energy gradient keeps the electron in constant motion.
Ocean currents, such as the Gulf Stream, move due to energy gradients from differences in water density (due to temperature and salinity) and the Coriolis force. Water flows from regions of high potential energy (high temperature, low density) to regions of low potential energy, with speeds up to \( 2 \, \text{m/s} \). This is a manifestation of the principle of minimum energy in the oceans.
Galaxies like the Milky Way rotate due to energy gradients from matter and dark energy. Stars move at speeds of approximately \( 200 \, \text{km/s} \) around the galactic center, driven by the energy field \( E(r,t) \). Dark energy plays a significant role in maintaining the energy gradient, ensuring the galaxy remains in constant motion.
Simulation of orbiting planets, moving particles (red: stars, cyan: air/clouds, purple: electrons), and galactic spirals, illustrating that everything moves due to energy gradients.