With higher dimension, do you mean souls? Transcending to a higher plain of existance? Or what?
No nothing to do with souls.
Let me try explain the basic idea of what dimensions are by natural progression of logic:
We all understand up to 4D, we have 3 linear dimensions and time.
The important thing to understand with dimensions is that each dimension is a POINT in the dimension that follows it....if we imagine the following dimension to be a line.
Hence each of the linear dimensions are points in the perspective of each other. i.e height is a point when we are strictly looking at length....same goes for the combinations regarding width etc (when talking up to 3D).
When we get to 4D, 3D is a point in this space. A certain 3D system is simply a POINT in 4D....a snapshot if you will.
So this follows when we go into higher dimensions.
4D would be a point in 5D. I.e the history (summed time) up to the point in question is simply a POINT in the line. The other points would be other histories (but with the same start and end conditions).
So travel across 5D would be time travel. Similar to how travel across 4D is space travel (i.e we dominate the preceding dimensions) .
5D would be a point in 6D...where only the initial conditions (as far as we know is the bing bang) are the same...end conditions are "open".
6D would be a point in 7D, where the initial conditions are also open (big bang is just one of the many initial conditions) but the same end conditions as if the big bang were the initial condition.
7D would be a point in 8D where initial conditions and end conditions are both totally open and there is no end constraint at all regarding a big bang "origin".
8D would be a point in 9D, where we bring in permutations regarding the laws oh physics within the system (they have all held in the previous dimensions to be the same we know for our universe).
9D is a point in 10D where this dimensional analysis ends, because we do not know of anything beyond what alternatives to the realm of physics are. Hence 10D is simply the entire set of everything possible (as we know and can perceive).
Hope this helps you understand what I mean by dimensions.
Bringing in the concept of a creator, all-powerful/knowing force, souls etc... are an element of faith which to me is completely external.
It is why in Hinduism (and I will tell you right now that 99.99% of Hindus don't know this) there is a branch called Nyaya which strives to always expound and investigate logic and reasoning above all else....to purposely attempt to minimise what needs faith to be "understood"....because the philosophy that is Hinduism is one of the few that sought to properly delineate the realms of faith, logic and understanding. Hence why totally atheistic schools like Carvaka and Buddhism formed...which rejected the need all together for there to be a need for souls, liberation and higher "realms" of existence with various entities within them.
Let me end with the Nasadiya Sukta from the Rig Veda (the oldest Veda):
नासदासीन्नो सदासीत्तदानीं नासीद्रजो नो व्योमा परो यत् ।
किमावरीवः कुह कस्य शर्मन्नम्भः किमासीद्गहनं गभीरम् ॥ १॥
Then even nothingness was not, nor existence,
There was no air then, nor the heavens beyond it.
What covered it? Where was it? In whose keeping?
Was there then cosmic water, in depths unfathomed?
न मृत्युरासीदमृतं न तर्हि न रात्र्या अह्न आसीत्प्रकेतः ।
आनीदवातं स्वधया तदेकं तस्माद्धान्यन्न परः किञ्चनास ॥२॥
Then there was neither death nor immortality
nor was there then the torch of night and day.
The One breathed windlessly and self-sustaining.
There was that One then, and there was no other.
तम आसीत्तमसा गूहळमग्रे प्रकेतं सलिलं सर्वाऽइदम् ।
तुच्छ्येनाभ्वपिहितं यदासीत्तपसस्तन्महिनाजायतैकम् ॥३॥
At first there was only darkness wrapped in darkness.
All this was only unillumined water.
That One which came to be, enclosed in nothing,
arose at last, born of the power of heat.
कामस्तदग्रे समवर्तताधि मनसो रेतः प्रथमं यदासीत् ।
सतो बन्धुमसति निरविन्दन्हृदि प्रतीष्या कवयो मनीषा ॥४॥
In the beginning desire descended on it -
that was the primal seed, born of the mind.
The sages who have searched their hearts with wisdom
know that which is kin to that which is not.
तिरश्चीनो विततो रश्मिरेषामधः स्विदासीदुपरि स्विदासीत् ।
रेतोधा आसन्महिमान आसन्त्स्वधा अवस्तात्प्रयतिः परस्तात् ॥५॥
And they have stretched their cord across the void,
and know what was above, and what below.
Seminal powers made fertile mighty forces.
Below was strength, and over it was impulse.
को अद्धा वेद क इह प्र वोचत्कुत आजाता कुत इयं विसृष्टिः ।
अर्वाग्देवा अस्य विसर्जनेनाथा को वेद यत आबभूव ॥६॥
But, after all, who knows, and who can say
Whence it all came, and how creation happened?
the gods themselves are later than creation,
so who knows truly whence it has arisen?
इयं विसृष्टिर्यत आबभूव यदि वा दधे यदि वा न ।
यो अस्याध्यक्षः परमे व्योमन्त्सो अङ्ग वेद यदि वा न वेद ॥७॥
Whence all creation had its origin,
he, whether he fashioned it or whether he did not,
he, who surveys it all from highest heaven,
he knows - or maybe even he does not know.
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