Vector ##U## (solid) and 1-form ##\widetilde{U}## (dashed) |

### The recipe

Figure 2.7. Several vectors, ##A,B,C,D,E##, and corresponding 1-forms ##\widetilde{A},\widetilde{B},\widetilde{C},\widetilde{D},\widetilde{E}##. The process of drawing ##\widetilde{U}## corresponding to a given vector ##U## is quite simple. 1) Orient the surfaces of ##\widetilde{U}## orthogonal to the vector ##U## . (Why? Because any vector ##V## that is perpendicular to ##U## must pierce no surfaces of ##\widetilde{U}## (##0=U\bullet V=U,V##) and must therefore lie in a surface of ##\widetilde{U}##.) 2) Space the surfaces of ##\widetilde{U}## so the number of surfaces pierced by some arbitrary vector ##Y## (e.g., ##Y=U##) is equal to ##Y\bullet U##.

Note that in the figure the surfaces of ##\widetilde{B}## are, indeed, orthogonal to ##B##; those of ##\widetilde{C}## are, indeed, orthogonal to ##C##, etc. If they do not look so, that is because the reader is attributing Euclidean geometry, not Lorentz geometry, to the spacetime diagram. He should recall, for example, that because ##C## is a null vector, it is orthogonal to itself (##C\bullet C=0##), so it must itself lie in a surface of the 1-form ##\widetilde{C}##. Confused readers may review spacetime diagrams in a more elementary text, e.g., Taylor and Wheeler (1966)."

Read it here, including punchline: 2.5 Differential forms.pdf. (6 pages)

I discovered a new simple time formula. As it is known, every simple

ReplyDeletephysics formula explains a law of nature. My formula says, ‘In a

physical event there is always as much time as the energy amount. That

is, “The more energy there is, the more time there is.'’ And vice

versa. Please can you evaluate my website and

articles? my website timeflow.org and three articles,

https://magneticuniverse.com/discussion/307/timeflow-theory-by-salih-kircalar

Special Relativity Theory (SRT) equations revealed that mass and time are

proportional.

t / t' = m / m'

My 'Timeflow'='Time'/'Energy' Formula makes a small but important

contribution to this. It expresses that the relation of mass to time is equal

to the amount of mc2 energy of the mass, which is 9x10'16 s or

2,851,927,903.26... years for 1 kg of mass outside the gravitational fields.

Very small free particles in space must be observed by organizations such as

NASA or ESA, only then my proposal will be verified.

In addition,The flow of the thought energy intensity in our brain is

body pain, unhappiness and boredom, joy, happiness and love,

sleep, and finally death, respectively, from high energy to low

energy. At the moment

to sleep, if we had a good sleep, our thought energy is very close to

zero or zero. When the energy flow intensity increases in our brain,

according to the 'Timeflow Formula (Timeflow=Time/Energy). The

timeflow will slow down. As the energy density (power) decreases, the

timeflow will accelerate. In the case of sleep and death, the timeflow

will be infinite. The timeflow formula explains very clearly and

simply that this situation, which is perceived as psychological time

is actually a purely physical event. I think it would be very useful

for psychology experts to evaluate the 'Timeflow' Formula and the

philosophical interpretation of the formula.