Hi Jos,
Thanks for your reply. Your essay appears to be another variant of the panpsychic philosophical position.
See http://en.wikipedia.org/wiki/Panpsychism.
Panpsychists typically attempt to argue that human consciousness could not exist unless everything in the universe had some kind of consciousness or consciousness precursor. In my experience they tend to believe human consciousness could only be possible if it was composed of some consciousness building block or conscious ability possessed by everything in existence, including all energy, atoms, molecules, grains of sand, rocks and trees, plants, bacteria, etc.
For example, they typically insist everything that exists is a 'conscious' observer and or that everything posesses intent, or a will. The problem then is reduced to pinning down what the panpsychist means by the terms 'consciousness', 'observer', and 'observation'.
First, there can be no observer in the grand unified field. A completely homogenous field has no differences. Since it has no differences, there can be no difference between any state x and its logical complement. In turn, that means no state can exist in the grand unified field. Since no state can exist, it can't have any properties, and it can't represent anything. It also can't have any boundary, or any dimension as all of these things require differences to exist.
All differences are finite. The absence of all differences is not finite; i.e., the absence of all differences is infinite. A completely homogenous field also can't represent any relations because some difference must exist to represent the existence of any relation.
The grand unified field cannot be an observer because there are no differences in it that can compose the existence of an observer. Furthermore, there can be nothing in the grand unified field for an observer to observe, measure, or represent because there are no differences to compose the existence of anything in a completely homogenous field. Third there is no way for a completely homogenous field to record any observations, or take any action because there are no differences in such a field that can represent the observations, and no differences that can cause an action.
There can be no points in a completely homogenous field because some difference must exist to distinguish the point from its surroundings. Completely homogenous means precisely that. No differences can exist in a completely homogenous field.
In addition, there can be no information in a completely homogenous field because information requires some difference that can distinguish the difference between the information and the completely homogenous field. Even if that weren't true, there is no way for a completely homogenous field to represent its referrent relation.
Another inconsistency is that there isn't any uncertainty in a completely homogenous field. The amount of information is defined as the amount by which the information reduces uncertainty. Since there is no uncertainty in a completely homogenous field to reduce, then by the definition of 'information' there can't be any information.
Even that ignores the whole issue of uncertainty relative to what? Uncertainty can only exist relative to some incomplete state of knowledge. A completely homogenous field can't have any states, so it can't have any knowledge.
At this point the whole observer paradigm falls apart, as does the idea of "It from Bit", that existence itself is composed of information.
There are only two ways out of these inconsistencies. One is to insist that a completely homogenous field, aka an infinite singularity is an impossibility, and thus it can't exist physically. The problem with that is that the finite can only exist relative to the infinite. Otherwise existence itself would have to be finite, and thus it would have to have a beginning and an end. In turn, that would violate the conservation of energy because it would require the ability to destroy all energy. That solution also introduces a problem due to the lack of a first cause.
The other possibility is to appeal to some form of cartesian dualism and insist that 'consciousness' must exist outside the realm of energy and causality. In other words, separate the universe into two disjoint domains; that of immaterial consciousness or 'spirit' and that of the material causal realm of energy and physics. In that case, the realm of consciousness is forever beyond science, logic and mathematics. It is then a matter of 'faith' or 'belief' and the observer must be some kind of all knowing all seeing 'God'.
My solution is much simpler and much more elegant. Make the existence of existence independent of observation, measurement, information, and consciousness. It is simple to do this. Simply let everything that exists be itself. The grand unified field can then simply be itself. Thus infinity simply is itself. It doesn't need to represent anything indirectly. The same is true of the finite. Simply let energy be itself. All energy strings and energy quanta are then finite differences in the potential of the grand unified field. All differences are finite.
Every virtual energy string and every energy quantum then simply exists by virtue of the existence of the potential difference in the grand unified field that composes it. Gravity then supplies the force required to compress energy into singularity by reducing all its potential differences to zero. Conversely, when the gravitational field weakens below the potential in the grand unified field, the difference between the grand unified field potential and the gravitatational field is a virtual energy string, or an energy or dark energy quantum.Simple and direct.
Next note that being a potential difference, the energy is now finite. Thus it has been converted from its infinite form in the grand unified field into a finite form in existence. This allows energy to exist in either a finite form or an infinite form. In turn, the gravitational transformation between energy's finite forms and its infinite form is what causes and enables energy conservation.
The energy has a potential difference relative to the grand unified field, thus allowing it to be a source or a sink, and thus it can represent a positive or negative charge respectively.
The potential difference can exert an attractive or repulsive force on other charges in range of its force field.
The potential difference is a difference function. In nature, such differences are always symmetric, so in reality they are created in self-adjoint pairs. In other words, they are created as a symmetric difference relation, providing a paired energy source and energy sink. This is where the differences between energy and dark energy, and matter, antimatter and dark matter come into play.
Thus an energy quantum or an energy string can be itself, it can exert an attractive or repulsive force on neighboring energy strings or energy quanta, and it is a self-adjoint symmetric difference relation.
Because energy is finite, it is also a state. From this, you get your point charges.
This allows an energy quantum or a virtual energy string to simultaneosly function as a state, a relation, and an operator. The force produced by its charge provides the energy required for it to change the state of the system via its relations to the other charges it is attracted to or repelled from. In effect, this allows the relational operator represented by the energy quantum or virtual energy string to execute itself, thereby applying its relation to others within its energy field. The application of these operators causes transfinite recursive composition of higher order functors. The net result is the generation of an infinite order orthonormal complex Hilbert space that represents the current quantum state of existence. The grand unified field is its null space. Its first order subspace is the temporal field. Its second order subspace is the EM field and the strong force. Its third order subspace is an unstable transient weak force, that is only present during spacetime lattice deformation or homology changes. Basically, this creates a kind of quantum energy field "Indras Web", more formally known as a hierarchical quantum statechart. It also functions as a kind of self generating, self-limiting, self computing mathematical system that generates and executes its own equations. If you work through the mathematics, you will find that it naturally generates complex addition, subtraction, multiplication, division, exponentiation, natural logarithms, e, pi, all the basic trigonometric functions, square root, differentiation, partial differentiation, and integration. Through transfinite recursive composition, it automatically generates and solves differential equations in one dimension and partial differential tensor field equations in multiple dimensions. Simultaneously it generates and solves integral equations in one dimension and multiple integral tensor field equations in multiple dimensions. It naturally generates and solves tensor quantum field equations for up to fourth rank tensors. It also generates a temporal and anti-temporal field, an EM field, a strong force field, a weak field and a spacetime quantum field consisting of a cubic lattice composed from the composition of self-adjoint dual pentachoron simplices. The pentachoron simplex topology is self-dual. That means the creation or absorbtion of new energy quanta causes it to subdivide, causing the ongoing expansion of 4d spacetime while preserving the quantum field topological relations and all spacetime quantum field metrics.
Note that all this is achieved naturally, without the need for any observer, observation, measurement, information, or indirect representation of any kind. The resulting mathematical system is both complete and consistent in the universal domain of the universe itself. It can consistently represent the union of the finite and the infinite, thereby generating and solving all the quantum field equations for the complete quantum state of existence. Since energy quanta and virtual energy strings always have some non-zero magnitude, division by zero is impossible in this mathematics, so no mathematical singularities are ever generated or encountered. The resulting mathematics is both complete and consistent. There is also no uncertainty. It turns out Heisenberg uncertainty is caused by the indirect representation of information. The reduction in uncertainty represented by information is relative to the observers incomplete state of knowledge, not relative to existence!
Anyway, observation, perception, measurement, understanding, thought, intent, and consciousness are all properties of human mentation and they all require the operation of a living, functioning brain. They are not charactistics or properties of most of existence. Those properties and processes are always present when we observe nature not because they exist in nature as a whole, but because they exist in us. Anthropomorphically projecting properties of human mentation onto all of existence is an error.
BTW, an extension of the direct representation of existence, and direct mathematics can also explain how neurons in the brain allow us to perform observation, and how neurons implement perception, thought, meaning, consciousness and the human ability to represent information indirectly. The brain uses direct representation to implement indirect representation. Indirect representation is a higher order specialization and extension of the direct representation of existence. That relation does not work in reverse. It is not possible to use indirect representation to represent direct representation.
