The discussion centers around the nature of energy, specifically whether it is a scalar or a vector, and how dimensionality might influence its classification. Participants explore theoretical implications and definitions related to energy in physics.
Participants generally disagree on whether energy is a scalar, a vector, or both, with multiple competing views presented. The discussion remains unresolved, with no consensus reached.
Some claims rely on specific definitions of energy and dimensionality, which may not be universally accepted. The discussion includes references to advanced concepts that may not be fully elaborated upon, leaving some assumptions and mathematical steps unresolved.
Pengwuino said:Energy is a scalar. What gave you the impression it could be a vector?
Answer2:
Yes. Energy is a scalar and a vector. Energy is a Quaternion quantity consisting of a scalar and three vectors, forming a 4D quantity.Early scientists started with scalar quantities. With Faraday's field theory (directed lines), vectors came into physics.However, the early definition of energy as scalar persisted to this day.
Vector energy is all around us, but we are blinded by dogma. F.D is called energy, but FxD is vector energy but is called Torque.I think we are about to lift the blindness. "Dark Energy" in Astronomy is vector energy. The Dark Energy is cmV = cP. Here is vector energy, Momentum energy. Momentum is a vector and Momentum energy cP is also a vector. A scalar c times a vector is a vector ! If there is vector momentum, there must be vector energy!
The correct Equation off Gravitation Energy is E = -mGM/r + mcV = -mu/r + cP.Newton did not include the vector energy cP=cmV. This was equivalent to saying the mass m, had velocity zero , E= -mu/r + mc0. Such is NOT the case. This is like saying the Earth is orbiting the sun with velocity 0, when it is moving at 30km/s. it is the vector energy cmV that provides the centrifugal force to keep the Earth from falling into the sun. It is the vector energy that is the "dark Energy" that is the anti-gravity (centrifugal) force. Vector Energy removes the mystery of "Dark Energy".
Newton's Three laws are derived from this vector energy, that Newton incorporated.Force F = XE = [d/dr, DEL] m[-u/r , cV]F = m[v2/r - cDEL.V, cdV/dr +u/r3 R + cDELxV]
At Equilibrium 0 = F and DELxV=0 meaning R and V are parallel and. It is essential that DELxV =0 for the vectors to sum to zero.The result is
0 = m[v2/r - cv/r, cdV/dr + u/r3 R ]
Equilibrium Condition exists when v/c=1 or v=c.
Newton's Equal and Parallel phrase comes form
0 = m(dV/dt + u/r3 R) comes from
0 = cdV/dr - DEL u/r
Newto added the term 'mdV/dt' a vector, before vectors, This term is the vector energy P=cmV and dcP/dr = cmdV/cdt = mdV/dt, voila!
It is time to recognize that we live in a 4D Universe and Energy is a 4D Quantity.
...forming a 4D quantity...but FxD is vector energy