Dear Edwin Eugene Klingman and Shan Gao,
Edwin is right. Superposition of wave function associated with different objects leads us to observe them. In PicoPhysics this issue is integrated with action at distance and concept of exchange particle as the mode of interaction between objects. PicoPhysics view on the subject (Though discussed at stage 3 - only stage 1 is available at picophysics.org) is as below:
Superposition:
Space is not conserved but uniform and isotropic at micro level. At macro level, it is defined by space density gradient which can be resolved into three components along the three co-ordinates of reference system attached to observer. Similarly, Object as an observer has a reference system attached. Now the density gradient is with respect to this reference.
The axis of the two reference systems can be assumed aligned and a picture drawn with respect to space density gradient. Knergy content in each object reacts with space as per unary law 'Space contains Knergy'.
Conservation of space makes no room for limitation on space density. The superposition of effect of presence of objects in space is absolute.
Space density
That is how, superposition, effect of presence of different objects in space is computable in complex geometrical distribution.
The density gradient itself is result of consumption of space by Knergy and affinity of space to possess Knergy. This consumption signifies non-conserved character of space.
To address the perturbation introduced by presence of Knergy in space, PicoPhysics introduce g-space as geometrical space, and r-space the real space. The space density is seen as ratio of r-space to g-space.
Space density = r-space/g-space.
Kambhar
The qualification of space as real and geometric is not kind to human perceptions about space. To keep the Space-Knergy dynamic with-in bounds the g-space is identified with space of mainstream physics. Real-space is given an alternative interpretation, 'Kambhar - host reality to anti-Konservation'. The ratio of this reality with respect to 3-D occupied space (G-Space) is now the density that defines Space-Knergy kinematics. Knergy is identified with Kambhar motion in space. The drift speed of Knergy in space is requirement of Unary law, independent of distribution of Knergy in g-space and governed by this density.
Wave-function:
When large amount of Knergy forming a large front confronts another similar front, then the conditions an develop in interference zone where it is not possible to satisfy the unary law - the drift speed, as a function of space density, independent of any particular distribution. So a complimentary process of conversion is hypothesised, which toggles Kambhar under such conditions into the complementary state. The interaction between the two states is only through conversion interaction. Knergy distributed in g-space can be hosted by Kambhar in either state. Kambhar in either state is conserved (Konserved but convertible to the other state).
Kd = K1 + iK2
Wave Function is function that describes the change in magnitude composition of Kambhar with position and time in space. Thus wave-function of quantum mechanics is seen as representing the Knergy density in space. It may be noted that PicoPhysics binds the space occupied by unit Knergy into a single unit to the observer. Schrödinger equation now represents the principle of least action, action being the result of non-Konservation of space. The details will be available at picophysics.org.
Thanks and best regards,
Vijay Gupta