Hyperdimensional brain

[Loren Booda]

Would you consider it feasible that the structure and function of the human brain can be better described by using more than space-time dimensions?

[G037H3]

I like the quantum mind theory. Idk if that's what you mean.

[JaredJames]

Do we have any reason to believe so? Is it necessary to explain it?

[Pythagorean]

actually, any time you add a delay to a signal on a system described by differential equations, you make an infinite-dimension problem.

In coupling systems of differential equations together you multiply their dimensionality. But these are not necessarily space and time. But then, some may argue all dimensions can be reduced to space and time (which mathematically, is possible if you assume mass can be reduced to space and time... thank you relativity).

So hyperdimensionality is not needed, since it's defined as being more dimensional than nature and nature is plenty dimensional.

Or... what do you mean by dimension, again?

[Loren Booda]

Dimensions for the hyper-brain would be space-time, like the hyperspace of M-theory.

I was first thinking of the projection of a 4-dimensional hypercube in 3-dimensional space, but applied to an 3-D object as complex the brain.

[Illbilly]

Perhaps the electromagnetic AC component of our brainwaves at the neuronal level, interact in complex (i) relationships, creating some sort of hyperdimensional structure where YOU reside.

but can (i) be considered an "extra" Dimension

[Loren Booda]

I like the quantum mind theory. Idk if that's what you mean.

I believe you are referring to Wigner's seminal Remarks on the Mind-Body Question in phase (action) space. In this thread I am referring to space+time dimensionality greater than four.

[Topher925]

This thread is hurting my space-time.

[waht]

The brain's spacial dimension is not 3, but rather it's estimated to about 2.7 due to the fractal nature of the brain, and so do most body parts, especially the lungs. Fractional dimensions arise in the study of fractals.

http://en.wikipedia.org/wiki/List_of_fractals_by_Hausdorff_dimension


The lungs are even more impressive in the terms of surface area packing. The lungs have fractional dimension of about 2.9 which means that it packs more area than the brain:

Humans have two lungs, with the left being divided into two lobes and the right into three lobes. Together, the lungs contain approximately 2400 km (1500 mi) of airways and 300 to 500 million alveoli, having a total surface area of about 70 m2 (8,4 x 8,4 m) in adults — roughly the same area as one side of a tennis court.[1] Furthermore, if all of the capillaries that surround the alveoli were unwound and laid end to end, they would extend for about 992 km (620 mi).

http://en.wikipedia.org/wiki/Human_lung

[Loren Booda]

This thread is hurting my space-time.

I hope you don't mind it.

[Loren Booda]

Thanks, waht.

The brain's spacial dimension is not 3, but rather it's estimated to about 2.7 due to the fractal nature of the brain, and so do most body parts, especially the lungs. Fractional dimensions arise in the study of fractals.

http://en.wikipedia.org/wiki/List_of_fractals_by_Hausdorff_dimension

__________

Can an object whose size is bounded finitely at its lower end (say by non-singular particles) or upper end (say by an ultimate event horizon) actually have a fractional dimension?

If the brain's perceived dimensionality is about 2.7, could that be a projection from a 3.7 space?