最近俺提出的時空二象理論，TIME-SPACE DUALITY，一致沒有進行邏輯數學表達，雖然使用了非邏輯表達。

與一路可里汀ELUCLIDEAN不同，明可夫斯基下的四維羅倫斯轉換對稱性，是Poincaré group 的，同時也衍生了前不久PERELMAN證明的POINCARE假猜。

最近研究了楊-米勒的百萬美金懸賞假猜，發現其中的一些解釋可以用做，特別是幾個特殊的CONVENTION，比如 （-，+，+， +）與 （+，-，-，-）規定下的幾個CONVENTIONS解釋。

+ − − −:

• Timelike convention
• Particle physics convention
• West coast convention
• Mostly minuses
• Landau-Lifshitz sign convention.

− + + +:

• Spacelike convention
• Relativity convention
• East coast convention
• Mostly pluses
• Pauli convention

下面是股溝的一些解釋大家自己看，黑黑

Spacetime intervals

In a Euclidean space, the separation between two points is measured by the distance between the two points. The distance is purely spatial, and is always positive. In spacetime, the separation between two events is measured by the invariant interval between the two events, which takes into account not only the spatial separation between the events, but also their temporal separation. The interval, s², between two events is defined as:

   (spacetime interval),

where c is the speed of light, and Δr and Δt denote differences of the space and time coordinates, respectively, between the events. (Note that the choice of signs for above follows the space-like convention (−+++). Other treatments reverse the sign of .)

Certain types of world lines (called geodesics of the spacetime) are the shortest paths between any two events, with distance being defined in terms of spacetime intervals. The concept of geodesics becomes critical in general relativity, since geodesic motion may be thought of as "pure motion" (inertial motion) in spacetime, that is, free from any external influences.

Spacetime intervals may be classified into three distinct types, based on whether the temporal separation () or the spatial separation () of the two events is greater.

Time-like interval

For two events separated by a time-like interval, enough time passes between them for there to be a cause–effect relationship between the two events. For a particle traveling through space at less than the speed of light, any two events which occur to or by the particle must be separated by a time-like interval. Event pairs with time-like separation define a negative squared spacetime interval () and may be said to occur in each other's future or past. There exists a reference frame such that the two events are observed to occur in the same spatial location, but there is no reference frame in which the two events can occur at the same time.

The measure of a time-like spacetime interval is described by the proper time, :

   (proper time).

The proper time interval would be measured by an observer with a clock traveling between the two events in an inertial reference frame, when the observer's path intersects each event as that event occurs. (The proper time defines a real number, since the interior of the square root is positive.)

Light-like interval

In a light-like interval, the spatial distance between two events is exactly balanced by the time between the two events. The events define a squared spacetime interval of zero (). Light-like intervals are also known as "null" intervals.

Events which occur to or are initiated by a photon along its path (i.e., while traveling at , the speed of light) all have light-like separation. Given one event, all those events which follow at light-like intervals define the propagation of a light cone, and all the events which preceded from a light-like interval define a second (graphically inverted, which is to say "pastward") light cone.

Space-like interval

When a space-like interval separates two events, not enough time passes between their occurrences for there to exist a causal relationship crossing the spatial distance between the two events at the speed of light or slower. Generally, the events are considered not to occur in each other's future or past. There exists a reference frame such that the two events are observed to occur at the same time, but there is no reference frame in which the two events can occur in the same spatial location.

For these space-like event pairs with a positive squared spacetime interval (), the measurement of space-like separation is the proper distance, :

   (proper distance).

Like the proper time of time-like intervals, the proper distance of space-like spacetime intervals is a real number value.

對於連續的洛侖茲場，簡單或者說目前最為認可的人類存在的3+1四維時空下，2006年MAX TEGMARK等計算了M+N時空的其他可能及其不穩定不預測性，並推斷了比如2維時間下的一些可能，最後發現3+1可能是我們在四維下最佳的選擇，雖然最近有很多2維引力的理論加入.

股溝一些閱讀：

Max Tegmark^[17] expands on the preceding argument in the following anthropic manner. If T differs from 1, the behavior of physical systems could not be predicted reliably from knowledge of the relevant partial differential equations. In such a universe, intelligent life capable of manipulating technology could not emerge. Moreover, if T > 1, Tegmark maintains that protons and electrons would be unstable and could decay into particles having greater mass than themselves. (This is not a problem if the particles have a sufficiently low temperature.) If N > 3, Ehrenfest's argument above holds; atoms as we know them (and probably more complex structures as well) could not exist. If N < 3, gravitation of any kind becomes problematic, and the universe is probably too simple to contain observers. For example, when N < 3, nerves cannot cross without intersecting.

In general, it is not clear how physical law could function if T differed from 1. If T > 1, subatomic particles which decay after a fixed period would not behave predictably, because time-like geodesics would not be necessarily maximal.^[18] N = 1 and T = 3 has the peculiar property that the speed of light in a vacuum is a lower bound on the velocity of matter; all matter consists of tachyons.^[17] However, signature (1,3) and (3,1) are physically equivalent. To call vectors with positive Minkowski "length" timelike is just a convention that depends on the convention for the sign of the metric tensor. Indeed, particle phyicists tend to use a metric with signature (+−−−) that results in positive Minkowski "length" for timelike intervals and energies while spatial separations have negative Minkowski "length". Relativists, however, tend to use the opposite convention (−+++) so that spatial separations have positive Minkowski length.

String theory hypothesizes that matter and energy are composed of tiny vibrating strings of various types, most of which are embedded in dimensions that exist only on a scale no larger than the Planck length. Hence N = 3 and T = 1 do not characterize string theory, which embeds vibrating strings in coordinate grids having 10, or even 26, dimensions

因此，無論是連續時空還是量子時空，對於物理學家而言，都需要考慮以下一些內容。

股溝閱讀：

For physical reasons, a spacetime continuum is mathematically defined as a four-dimensional, smooth, connected Lorentzian manifold . This means the smooth Lorentz metric has signature . The metric determines the geometry of spacetime, as well as determining the geodesics of particles and light beams. About each point (event) on this manifold, coordinate charts are used to represent observers in reference frames. Usually, Cartesian coordinates are used. Moreover, for simplicity's sake, the speed of light is usually assumed to be unity.

這些考慮包括：

1）時空的數學屬性

2）拓撲學

3）時空對稱性

4）量子化時空

所以，一些數學的計算，特別是3+1體系下的一些CONJECTURE比如COLLATZ猜想，完全可能有些突破。另外被證偽的MERTENS猜想也展示了類似最近發現的宇宙背景輻射的不均勻分布，而且似乎有被測定的所謂宇宙粒子總數的局限，導致了多重宇宙存在的可能。

這些思想其實又牽扯到了另外一個計算機世界也叫做量子世界的著名假猜：N和NP問題假猜，同時也包括了最初在公園641年ALGORITHEM提出的著名連續解決問題的思路，也叫做蝴蝶翅膀效應。從COLLATZ猜測的已知路徑看，3+1的世界可能性會比較大些，如果量子世界存在的話。

但如果我們的大腦是台量子計算機，不遵循所謂的連續性計算的話，N=NP就可能是計算機世界的一個噩夢了，黑黑。

突然想起了一個類似N和NP的假猜，讓大家考慮一下（目前還沒有賞金，黑黑）：

股溝提供給俺們的或許是N 和 NP的反證，也就是：

信息的提供或者獲取如果越簡單的話，解決問題就會越困難，對於人類的大腦量子計算

也叫做：I 和 NI （我和非我） 問題

（委婉待續