Observer theory
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
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.
Observer chains
Observer chains
Observer projections
Observer projections
Observer transformations
Observer transformations
Kauffman, Louis H. n.d. “Special Relativity and Calculus of Distinctions.” http://homepages.math.uic.edu/~kauffman/Relativity.pdf.
Observer dynamics
Observer dynamics
2D-orders
2D-orders
Glaser, Lisa. 2018. “The Ising Model Coupled to 2d Orders.” arXiv [gr-Qc]. arXiv. http://arxiv.org/abs/1802.02519.
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
1, 2, 5, 16, 63, 318, 2045, 16999, 183231, 2567284, 46749427, 1104891746, 33823827452, 1338193159771, 68275077901156, 4483130665195087
{1,2,5,16,63,318,2045}
Enumerating 2D-orders:
{1,2,5,16,63,315,1956,14794,131526}
cgs=With{n=6},DeleteDuplicates@ParallelMapCanonicalGraph@TransitiveReductionGraph@AdjacencyGraph@PadLeft[Append[ConstantArray[0,n]]@TakeList[#,Range[n-1,1,-1]],{n,n}]&,Tuples{0,1},;cgs2d=With[{n=6},With[{mat=UpperTriangularize@ConstantArray[1,{n,n}]},DeleteDuplicates[ParallelMap[With[{p=PermutationMatrix[#]},CanonicalGraph@TransitiveReductionGraph@AdjacencyGraph[matInverse[p].mat.p]]&,Permutations[Range[n]]]]]];Complement[cgs,cgs2d]
n(n-1)
2
Open questions and future directions
Open questions and future directions
◼
Restriction to 2-D and N-D posets, minimal causal N-dimensional non-total structures
◼
Heisenberg Uncertainty Principle for conjugate pairs in terms of interval projection rate dynamics, higher rate harmonics and more complete signal processing interpretation
◼
Heisenberg Uncertainty Principle due overlapping/non-commuting/branching events
◼
Spatially and branchially extended observers
◼
Antichain projections can provide additional 2 degrees of freedom for 1+3 spacetime and potential quantum measure along branchial correlations
◼
Zitterbewegung interpretation
◼
Computational boundedness of an observer, local action of past causal cones, decoherence, information
◼
Graph automorphism groups and particle symmetries, symmetry breaking
◼
Hypergraph construction algebra
Antichain projections
Antichain projections