[Fifth edition in Taiwan on 31/8/2016 at night]
Dear colleagues,
I have a though those two days as follows*:
A molecular state converges to the asymptote (either toward nuclei or separating atoms). The adiabatic potential energy curves (surfaces) are none-crossing, which are, say, "parallel" to each other. However, two molecular states in different terms can adiabaticaly be once crossed, due to the ignorance of inter-system crossing. so that the adiabatic curves (surfaces) result in a grid system, in which each crossing is orthogonal.
Diabatic curves (surfaces) is allowed to cross with each other once or none due to the ignorance of spin-orbit coupling (H^so). The diabatic curves (surfaces) converge to some correlated adiabatic ones, either toward nuclei or separating atoms.
Shall adiabatic curves (surfaces), the grid lines (curves) in two dimension make a two dimensional *curved grid surface*, while the diabatic one make *another*. Hence, They together make a three dimensional grid??? (prove required)
The ancient Chinese philosophers defined the universe as: The space is up-down-n-e-w-s, and time is the ancient went and nowadays comes[1]. It is so-called space-time.
Space-time is the moment in four orthogonal (3+1) dimensions. Will it be possible that the space-time is the diagonal line (curve) in correlation to the aforementioned grid??
If so, curved time and curved spacial dimension makes sense. Nonadiabaticity can can be readily represented by the vector sum in the adiabaticity and diabaticity domain. Quantum dynamics and coherence can thus be presented analytically.
Does the reasoning make sense for the quantum relativistic mechanics? I do not know. It is my imagination with inspiration.
Space and time together make the universe [1] The current space time, which is the *moment*, did pass and do evolve. Everything is born from having, and having is born from nothing [2].
1/0 = undefined, and lim_a->inf +1/a = +0; lim_-a->inf 1/a = -0
Therefore, the space of our universe is not defined. Accumulation of lots of either +0 / -0 makes our universe. The delimma of the smallest point in a line or smallest spot in an area can be explained. Many infinity small point do make a line, and so as to spot to area. Due to the space-time, the infinity small points correlate to the infinity time??
This way gives birth to one; one gives birth to two, two give birth to everything [3]. The three is changing and quenched to be +/-zero [4]. Steady changing goes forward, and supple quenching takes along [5].
References
[1] 上下四方曰宇 古往今來約宙
[2] 萬物生於有 有生於無
[3] 道生一 一生二 三生萬物
[4] 三為乾 O 為坤 乾為天 坤作成物 萬物茲始
[5] 乾者健也 Change 坤者順也 Quench
Best regards, Malcom Wu
*Note: Mistakes is likely in this question. I could not prove them to the best of my knowledge, However, I found it very interesting to this reasoning. I am looking forward to your comment.