Mathematical Physics


A Mathematical Model of Reality

Authors: J.A.J. van Leunen

It is possible to derive a model from a set of well selected first principles. After a series of extensions of this foundation the model shows many similarities with what we know from observing reality. The first principles formulate a skeleton relational structure that is mathematically known as an orthocomplemented weakly modular lattice. It can be considered as part of a recipe for modular construction. When starting from this foundation it is mathematically inescapable evident that this model confines to a quaternionic space-progression model that proceeds with model-wide progression steps through an ordered sequence of sub-models that each represent a static status quo of the whole model. This base model is a hybrid construct that consists of a sub model that treats all discrete objects and a continuum based sub model that embeds the discrete objects. The discrete part of the model keeps its data in an infinite dimensional separable Hilbert space. The continuum part stores its data in a corresponding non-separable Hilbert space. An extra mechanism that controls the coherence and the scheduling of dynamics applies the recurrent embedding of the discrete objects into appropriate continuums. Despite the fact that the target of the model is planned to reach a level in which it shows many features and phenomena that we know from observing reality, this model is not claimed to be a model of physics. The reason for this restriction is that many of its aspects cannot be observed and will never become observable. Physicists tend to deny completely or largely deduced models. The deduced model appears to own built-in restrictions that guard against uncontrolled growth of the complexity of the model.

Comments: 45 Pages.

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Submission history

[v1] 2014-09-07 16:42:14
[v2] 2014-09-22 09:44:18
[v3] 2014-09-25 16:34:38
[v4] 2014-10-09 16:23:24
[v5] 2014-10-15 05:24:43
[v6] 2014-10-25 13:29:49
[v7] 2014-11-16 09:27:30
[v8] 2014-11-25 06:13:48
[v9] 2014-12-13 05:48:50
[vA] 2014-12-18 16:02:46
[vB] 2015-01-11 06:55:05

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