Introduction Although our perception of universe has 3+1 dimensions (3 spatial dimensions coupled with 1 dimension of time), many physicist and philosophers have questioned the legitimacy of our perception of universe and claim that the 3+1 universe we perceive is just a projection of the true universe exists in a higher dimensional system¹. It should be noted however that none of these claims have been proven by scientific experimentations. Having said that they have been used as sources of inspiration in several pieces of modern art, literature, science fictions, and movies². In theoretical physics, extra dimensions are proposed to represent additional space or time dimensions beyond the (3 + 1) dimensions of observed spacetime. Most notably, F-theory, a branch of modern string theory³, describes the universe as a 12-dimensional spacetime having 10 dimensions for space and two dimensions of time. In philosophy, the first questioner of 3+1 spacetime was the ancient Greek philosopher, Plato, who suggested that our 3+1 spacetime reflects a higher dimensional World of Ideas. Although never proven to be right, the fantastic idea that our 1 Mathematically, there is no difference between a 2-dimensional (2D) and a n-dimensional space except the fact that defining a vector in n-dimensional space requires additional n − 2 terms compared to a vector in a 2D space. 2 The Matrix Trilogy and Tree of Life are examples of popular movies, in which the involved universes have dimensions beyond our 3+1 perceived time space domain. 3 Check https://en.wikipedia.org/wiki/String_theory perception is a projection of a higher dimensional truth has never been outdated. In particular, there have been some efforts in analytical philosophy to recognize “the subjective passage of time”. One of the early efforts goes back to J. W. Dunne, the British pioneering aeronautic engineer, who proposed an infinite hierarchy of time dimensions, inhabited by a similar hierarchy of levels of consciousness. Dunne suggested that a second dimension of time was needed in order to measure the speed of one's progress along one's own timeline. This in turn required a level of the conscious of self-existing at the second level of time. The same arguments can be applied, requiring a third level, and so on, which necessitates the existence of "superlative general observer" watching our universe in eternity. His infinite regress was later criticized and proven to be logically flawed and unnecessary, although some, such as the physicist David Bohm³, acknowledged the possibility of his second time dimension. However, David Bohm himself was criticized by some as a promoter of new-age spirituality. Question Imagine that in a fantastic 6-dimensional universe, your perception of temperature is not only dependent on the 3 dimensions of space, denoted by x, y, z and one dimension of time, denoted by t; but also, it depends on your understanding of time, denoted by c, and space, denoted by w. Temperature in such a universe is described as T (c, w, x, y, z, t) 6. Imagine that in this universe, temperature was measured in seven specific points as the following: T(0,0,0,0,0,0) = 0 T(0,0,0,0,2,3) = 12 T(4,2,0,0,0,0) = -5 T(0,0,3,4,0,0)= 72 T(0,0,1,1,0,0)= 8 T(1,1,0,0,0,0)=4 T(0,0,0,0,1,1) = -8 1. If the unit vectors in the t, c and w directions are denoted by Î, î, and ñ respectively, and T is assumed to be a linear function, without finding T, specify the gradient vector of temperature over the given domain identified by the seven measurement points, i.e., 0 ≤ c ≤ 4, 0 ≤ w ≤ 2, 0 ≤ x ≤ 3, 0 ≤ y ≤ 4, 0 ≤ Z ≤ 2, and 0 ≤ t≤ 4, ? Note that as T is assumed as a linear function, then gradient vector is a constant vector within the entire domain (80%). 2. Imagine that you are a city planner in this fantastic 6-dimensional universe. If this universe starts to experience some kind of global warming in time as our Earth currently experiences, where are you going to build the future cities? 4 See https://en.wikipedia.org/wiki/J._W._Dunne 5 https://en.wikipedia.org/wiki/David_Bohm 6 It can be simply shown that our 3+1 perceived universe is simply the reflections of this fantastic universe when c =w=0

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Introduction Although our perception of universe has 3+1 dimensions (3 spatial dimensions coupled with 1 dimension of time), many physicist and philosophers have questioned the legitimacy of our perception of universe and claim that the 3+1 universe we perceive is just a projection of the true universe exists in a hig