WOLFRAM NOTEBOOK

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Observer theory

Observer theory is a framework that emphasizes the role of an observer in constructing physics models incorporating computation with intrinsic causal relations. In this framework, events act in computational space. By studying these, observer theory aims to provide a more fundamental foundation for explaining the basic principles of physics with a unique perspective on the nature of reality...

The mandate

We aspire to develop a constructivist, discrete, emergent, structuralist, background-independent, computationally experimental, observer-dependent theory of physics that resolves outstanding problems that afflict current fundamental theories and offers novel unificatory advantages.
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Observer chains

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Observer projections

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Observer transformations

Kauffman, Louis H. n.d. “Special Relativity and Calculus of Distinctions.” http://homepages.math.uic.edu/~kauffman/Relativity.pdf.
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t
fix scale ρ
fix ratio K
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Observer dynamics

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2D-orders

https://oeis.org/A000112 (Number of partially ordered sets (“posets”) with n unlabeled elements.)
1, 2, 5, 16, 63, 318, 2045, 16999, 183231, 2567284, 46749427, 1104891746, 33823827452, 1338193159771, 68275077901156, 4483130665195087
Enumerating 2D-orders:
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Open questions and future directions

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  • Restriction to 2-D and N-D posets, minimal causal N-dimensional non-total structures
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  • Heisenberg Uncertainty Principle for conjugate pairs in terms of interval projection rate dynamics, higher rate harmonics and more complete signal processing interpretation
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  • Heisenberg Uncertainty Principle due overlapping/non-commuting/branching events
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  • Spatially and branchially extended observers
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  • Antichain projections can provide additional 2 degrees of freedom for 1+3 spacetime and potential quantum measure along branchial correlations
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  • Zitterbewegung interpretation
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  • Computational boundedness of an observer, local action of past causal cones, decoherence, information
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  • Graph automorphism groups and particle symmetries, symmetry breaking
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  • Hypergraph construction algebra
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    Antichain projections

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