The space dimension is visible/measurable to us; it is in 3D space that we commonly conduct physics experiments. Time dimension experiments not common, in fact \(t_c\), \(t_g\) and \(t_T\) are not differentiated directly as 3D space.
Energy along the time dimensions can be materialized as mass \(m_E\), from Einstein,
\(E=m_Ec^2\)
so energy along the time dimension is just mass accelerated to light speed \(c\) along the time dimension. Such mass \(m_E\), are property neutral mass without associated property of gravity, charge nor temperature.
And so we go full circle, ENERGY is just a lump of inert mass \(m_E\), except now they are at light speed \(c\) along a time dimension, \(t_c\), \(t_g\) or \(t_T\) not space.
From which we resolve the ambiguity; energy is \(m_E\) at light speed \(c\) along a time dimension. In the space dimension where a particle is in a helical path its terminal speed is \(\sqrt{2}.c\). A particle in space is also travelling along the time dimension at \(\sqrt{2}.c\). This is to be consistent, since kinetic energy along any dimension is,
\(K.E=\cfrac{1}{2}mv^2=\cfrac{1}{2}m(\sqrt{2}.c)^2=mc^2\)
when time and space dimensions are considered equivalent. This is not the case.
The problem was that time appears in the denominator in the definition of velocity.
As we speed up along a time dimension, the measure of time, unit time = standard unit time * time velocity lengthens and so velocity decreases (velocity=distance per unit time). It would seems that we are going no where, but as proven previously, it requires twice the amount of energy to accelerated to time speed \(c\) along the time dimension (post "No Poetry for Einstein") and K.E along any time dimension is
\(K.E=E=mc^2\)
and in space
\(K.E=\cfrac{1}{2}mc^2\)
In which case, the terminal speed is \(c\) in both space and time dimensions.
This definition of energy, for the time being, avoids the circular, self referencing discourse of energy potential changes due to energy imparted, but energy potential is in fact due to oscillating energy between dimensions in the wave model of particles.
Energy exists along the time dimensions \(t_c\), \(t_g\) and \(t_T\), when coupled to the space dimension it imparts its property of charge, gravity or temperature upon a particle as changes in the corresponding particle's property energy potential (ie. electric potential energy, gravitational potential energy or a temperature gradient) .
So we sweep energy into the carpet, as mere existence (\(m\)), along the time dimensions, \(t_c\), \(t_g\) and \(t_T\). This energy presents itself when a photon/basic particle comes along and couples it onto a space dimension. It is then observable in our 3D space reality.
This definition of energy points to the fact that we do not interact with the space dimension and the time dimension in the same way. \(t_c\), \(t_g\) and \(t_T\) is undifferentiated and time appears to us as a singular 1D stream, whereas we move and interact in 3D space.
