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I've read that TIME and SPACE are inter-connected in a similar way to MASS and ENERGY. Is there a sense in which it's possible to argue that TIME is an illusion. That the history of the Universe EXISTS NOW somewhere in Space: that the future and the past are only human constructs to help us make sense of our restricted view of reality. I hope this question isn't too naive. Any patient respondents out there?
I've read that TIME and SPACE are inter-connected in a similar way to MASS and ENERGY. Is there a sense in which it's possible to argue that TIME is an illusion.
A common belief among philosophers of physics is that the passage of time of ordinary experience is merely an illusion. The idea is seductive since it explains away the awkward fact that our best physical theories of space and time have yet to capture this passage. I urge that we should resist the idea.
Actually there's a better way to look at it. Mass and energy are said to be equivalent meaning that increase in one means an increase in the other. However this does not mean that they're the same thing since energy is a quantity which is not defined but its main meaning is that its total is conserved while mass is the quantity which determines momentum. Now we can turn to mass and momentum. The relationship here is that time is related to mass and space is related to momentum. By this I meanDefinitions: r = [tex](x^1, x^2, x^3)[/tex] = 3-Position Vector of Particlem = Proper massM = Inertial mass[tex]M = \gamma m[/tex]p = MvU = 4-Velocity of ParticleP = 4-Momentum of ParticleSpacetime event: [tex](cx^0, x^1, x^2, x^3)[/tex] = (ct, r)4-Momentum: [tex]P = (cp^0, M v^1, M v^2, M v^3)[/tex] = (cM, p)Do you notice the symmetry between time and inertial mass and momentum and position? If not then notice the followingSpacetime event:X = (ct, x, y, z)x0 = tr = (x, y, z)4-Momentum:P = mU = (cM, Mv)p0 = Mp = MvThis viewpoint was presented in Concepts of Mass in Contemporary Physics and Philosophy by Max Jammer, (2000).
I noticed this by myself long ago. But you probably should also have mentioned that time/energy and space/momentum are conjugated variables in QM.