"Nature, it seems, is made up of a set of hierarchical and coherent systems, connected to each other in a non-local way."
(Ervin Laszlo)
"Everything is non-local. Particles are intimately connected on a level that transcends time and space" (Fred Alan Wolf).
The Local and the Non-Local
The Non-Local in Physics
In classical physics, the local corresponds to the Newtonian view of space and time:
Space is continuous and three-dimensional, in which to pass from one point to another one must pass through the intermediate space.
Time is also continuous, of a linear, one-dimensional type.
For one object to act on another there must be a contact relationship or spatial connection (direct or through an intermediate object), and it involves a certain consumption of time.
There are cause-effect relationships.
In quantum physics, the non-local prevails, i.e.:
Two quantum entities, physically separated, can be directly connected, in an aspatial and atemporal way, that is, without a spatial relationship of proximity and instantaneously.
There is no communication in the traditional sense of "something" moving through physical space.
Cause and effect are confused.
Some examples of nonlocality in physics:
Electricity, magnetism, and gravity are of the non-local type, for there is action at a distance.
An electron, when it changes from one orbital to a lower orbital (emitting a photon), does so instantaneously and without passing through the intervening space.
The phenomenon of quantum entanglement. When two quantum entities (electrons, neutrons, photons) are in coherence, with connected states (e.g., spin), they remain connected even if they are separated, regardless of distance, such that when one entity changes state (the spin orientation), the other changes as well and does so instantaneously. Intertwined quantum entities behave as a single entity. They cannot be considered separate entities. This phenomenon defies Einstein's theory of special relativity, which sets the speed of light as the propagation speed limit.
The explanation of nonlocal phenomena lies in the fact that the connection is made in a type of space or dimension that transcends known physical space. It is a meta-space or deep, inner space where everything is connected, and where time also does not exist. In Hinduism, this space is called "Akasha". In any case, the phenomenon is expressible by mathematics, since it transcends the physical world. The famous "hidden variables" of quantum mechanics, which would explain the entanglement phenomenon in the classical way, may be properties of deep space, which are invisible and undetectable.
The non-local and the mind
The local is limitation, restriction. It corresponds to a material, external and superficial vision of the world. The non-local is freedom, it is a non-material, internal, profound and transcendent vision of the world. They correspond to the two poles of consciousness, which are reflected in the cerebral hemispheres: left, superficial; right, deep. The non-local connection is more generic than the local, since the local can be considered as a particular case (or manifestation) of the non-local.
The non-local is either a more subtle physical level (the Akasha of Hinduism) or it is of a mental type. Indeed, the mind belongs to a higher dimension than the physical where everything is related in a non-local way. This is evident, since our thought can be focused wherever we want, independently of space. To think about something is to establish a non-local connection at the mental level.
Although we usually speak of thought, it is actually the imagination, a faculty of the soul, that has this power, which transcends space and time. And when we think, it is always the imagination that initiates the process, so that there are always images that accompany the thinking process. It is impossible to think without imagining.
We can say that quantum physics links with mind and consciousness. At a deep level, everything is the same thing: consciousness.
MENTAL, a Local and non-Local Language
We can establish analogies between the physical and MENTAL non-local world:
MENTAL is a non-local language because it is a deep language, which can connect everything with everything, any expression with any expression, of any level. Non-local and deep are terms that imply each other.
Reality, at the deep level, is abstract and, therefore, non-local, like mind. Mind is non-local.
In the deep, mind and physical world are connected because they share the same archetypes of consciousness. Thus the inner (the mind) and the outer (the physical), the subject and the object, the general and the particular are connected. Both poles need each other and complement each other. For there to be manifested consciousness, both poles are needed. Pure consciousness is non-manifested consciousness, without subject or object, free and without limitations. Pure consciousness has all possibilities, while archetypes are dimensions or aspects of those possibilities.
At the internal (mental) level, our thoughts are built with the generic "bricks" of possibility: the archetypes of consciousness. At the external (physical) level, matter is built with the "bricks" of possibility that are the quantum entities, which are based on the same archetypes.
The archetypes of consciousness are common, they connect both worlds. They are simple, creative, free, flexible possibilities of maximum combinatorial power.
We need a non-local language as MENTAL to build the reality of abstract expressions. Non-local implies flexibility, creativity and power. The world cannot be built on the local, the rigid and the limited. The local is built with the non-local. The non-local grounds the local.
Since consciousness is associated with the profound, with the foundation of all that exists, we can affirm that MENTAL is the language of consciousness and the operating system of reality and of possible worlds. The profound governs the superficial. Everything has its explanation and foundation in the deep.
First there is pure consciousness. Second are the primary archetypes of consciousness. Third are the manifestations of the archetypes. Everything is based on consciousness. Pure consciousness and the primary archetypes of consciousness are non-local.
Reality, at the deep level, is abstract and non-local. At the abstract level there is no physical time and space, but there is abstract space and time and the two go together.
MENTAL is the archetypal world behind the physical and the mental. MENTAL is a model of the mind.
Meanings, which belong to the mental level, are patterns, which the consciousness connects and relates to the deep.
We cannot prove −as Bell did with his theorem− that the archetypes of MENTAL are the foundation of internal and external reality. It is a thesis that defines the limits of the expressible and the conceivable.
MENTAL, like mind, is non-local in nature. Abstract space is the place where the expressions of MENTAL "live". In this Environment local and non-local connections can be made between all kinds of expressions, even higher order non-local connections. That is why MENTAL is a language proposal for the Web, because of its ability to relate everything to everything.
In the von Neumann model of computer architecture, memory is linear, sequential. In MENTAL, memory is the Environment, which is relational in nature. For its implementation, that is, for its embodiment at the physical level, the classical model of the von Neumann architecture is not the most suitable, as it is linear in nature. Another type of more flexible model is required to overcome the limitations of this traditional model. These could be Neural Networks (NN), Nonmonotone Neural Networks (NNN), Fractal Neural Networks, FNN), etc.
Simple example of non-local connection
We have already included examples of linked, interlinked, self-linked and self-interlinked expressions, which are types of non-local connections [see MENTAL Language- Expressions].
In MENTAL, local connections are made by non-generic expressions. Non-local connections are made by generic expressions.
Simple examples of local expressions are:
(x = (a b c))
(y = (1 2 3))
In this case, there is a local, proximity connection between the expressions a, b and c, as well as between x, "=" and (a b c). Similarly for the second expression. Both expressions, in turn, have a locality or proximity relationship, both spatially (sequential relationship) and temporally (the expressions are evaluated in sequence).
A non-local expression allows connecting or interrelating components of both expressions. For example,
(z = (⟨x\2⟩ h ⟨y\3⟩+2)) // ev. (z = (b h 5)
such that, if we vary x and/or y, the evaluation of z will automatically change:
(x = (u v w))
(y = (11 12 13))
z // ev. (v h 15)
By means of z, we have made a non-local connection between two different expressions. We could also establish higher-order non-local connections, for example:
⟨( w = (1 z↓ 2) )⟩
In this case we have a second-order non-local connection. In general, we could have a network of relations, local and non-local (of different orders) in the abstract space.
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