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Quantum Theoretic Machines - What is thought from the point of view of Physics?
of: A. Stern
Elsevier Trade Monographs, 2000
ISBN: 9780080540139 , 600 Pages
Format: PDF, ePUB, Read online
Copy protection: DRM
Front Cover
1
Quantum Theoretic Machines: What is Thought from the Point of View of Physics
4
Copyright Page
5
CONTENTS
8
NOTATIONS
14
MATHEMATICAL ABSTRACT
20
PART 1: MATRIX PRINCIPLE
22
CHAPTER 1. MINDWARE
24
Making sense of inner sense
24
The intelligence code
28
The evolution of the machine
31
The brain's unknown statistics
38
Thought as matrix multiplication
40
Heisenberg's matrix mechanics
44
Conversion theorem
45
Matrix statistics
50
Supersymmetry
52
CHAPTER 2. INFORMATION IS PHYSICAL, PHYSICS IS LOGICAL
54
Duality principle
54
Projective logic
57
The dimensions of the mind and the third quantization
64
Closing pandora's quantum box
69
Cognizing is quantizing
71
Quantum computer
73
Reality as a complex number
76
Nonconvex probability
80
Logical quantum numbers
83
Does the mental violate the laws of physics?
87
PART 2: THE BRAIN IS GEOMETRICAL, THE MIND IS TOPOLOGICAL
96
CHAPTER 3. TOPOLOGICAL CHARGES
98
Logical vacuum
104
Multiplicative polarization
107
Additive polarization and the fundamental lattice
109
Thoughts, knots and cross-cups
112
CHAPTER 4. COGNITIVE CIRCUITS
120
Topological current
122
CHAPTER 5. THE LOGICAL DERIVATIVE
124
CUT and ZIP operations
126
The quantum-mechanical derivative
129
The covariant derivative
130
The unbroken topological phase
132
CHAPTER 6. RECASTING LOGIC IN DIRAC NOTATION
134
Translating logic into quantum mechanics
134
CHAPTER 7. PARALLEL AND SERIAL UNIVERSES
138
Factorizing the thought processes
138
Parallel brain, serial mind
140
The suprasymmetric transfer function
142
Operator waves
144
Logical wave operators
145
The exotic statistics
148
CHAPTER 8. MATRIX BRANES
150
Brains and branes
150
Logical volume
151
Irreducible logical branes
152
Consciousness as a unilateral logical membrane
156
CHAPTER 9. THE CAT AND THE LIAR
158
The intellectual catastrophes
158
This is absolutely true±false
164
Quantum mathematics
165
CHAPTER 10. LOGICAL ROTORS
168
Topological phase and atomic orbits
168
Self-measurement and backreaction
171
CHAPTER 11. QUANTUM KNOTS
173
Template supersymmetrization
176
Information solitons
178
CHAPTER 12. LOGICAL MEMBRANE ACTION
180
CHAPTER 13. FROM BLACK HOLES TO GRAY BRAINS
184
Logical Bang Blowing up the Farey Sequence
186
The theory of Everything
187
Information collapse
189
CHAPTER 14. THE INCREDIBLE KNOT OF CONSCIOUSNESS
194
Introducing gauge symmetry into logic
194
Beyond seven crossings
205
PART 3: THOUGHT TELLS THE BRAIN HOW TO SPIN, SPIN TELLS THE BRAIN HOW TO THINK
208
CHAPTER 15. NUMBERS AND OPERATORS
210
Quantum thinking
210
The quantization theorem
216
Speeding thought up
219
Self-"conscious" polynomials
221
CHAPTER 16. LIMITATIONS OF CLASSICAL LOGIC
222
Truth-tables
225
Dealing with absurds
226
Negation
227
An unnoticed operation in Boolean logic
228
Logic interpolates, mind extrapolates
231
Timeless logic
232
CHAPTER 17. SELF AS A FIXED-POINT
233
Solving the problem of being itself
233
The golden ratio
234
Logarithmic fixed point
236
Second-quantized fixed points
237
Logical radar coordinates as fixed point
238
CHAPTER 18. IMPROBABILITIES
239
Probability of impossible and impossible probabilities
239
Probability calculated and probability measured
242
Tensor probability
247
Improbable dispersions
249
Imaginary certainties
251
Negative probability and vacuum
256
Charged sets
257
CHAPTER 19. THINKING SYSTEMS
259
Non-Hermitian reality. From quantum physics to infophysics
259
Effective acausality
261
Fundamental information
262
Cognitive observables
264
Why a tiny 2x2 matrix?
266
The unruly algebra of matrices
267
Truth-value as eigenvalue
272
Truth-value and false-value
275
CHAPTER 20. SQUARE ROOT OF NOTHING
278
The logical vacuum revisited
278
Momentum as tensor product
280
Logical momentum as quantum knot
282
Zero-weight operators
284
PART 4: COGNIZERS
286
CHAPTER 21. STRETCHING NATURE'S LAWS
288
Classical-quantum interface
289
Quantum hypothesis of the brain
291
Singularization theorem
295
The brain-mind interface as a quantum-classical interface
300
CHAPTER 22. COGNITIVE DELTA
302
The delta theorem
309
Lowering the energy barrier: the tunneling of logical operators
310
CHAPTER 23. ENERGY FUNCTION
314
The momentum theorem
320
Logical momentum and the klein-gordon equation
323
Logical isospin
324
Truth-dependent Lagrangian
326
The missing energy level
327
CHAPTER 24. BRAIN STATES ARE NONCLASSICAL
330
Denktors
333
Understanding the information phase
337
Quantization of the classical systems
344
The s-matrix and the synaptic matrix
350
The brain's sparse matrix
352
CHAPTER 25. BETHE'S DOUBLE GROUP AND CONSCIOUSNESS
354
CHAPTER 26. LOGICAL OSCILLATOR
361
CHAPTER 27. TIME AS CONSCIOUSNESS' DYNAMICAL VARIABLE
366
Still time
370
The time wraps
370
Is there time to see? stroboscopic consciousness
373
CHAPTER 28. CONVERTING THOUGHT INTO ACTION
374
Conservation of time charges
378
Making use of forbidden interactions
379
CHAPTER 29. ENERGY-TIME PHASE SPACE
380
CHAPTER 30. 5-VALUED CONSCIOUSNESS
382
The included middles
382
A forbidden fivefold symmetry
384
Pseudo-Galilean space and the 5-space correction to energy
386
Constructing causal systems from acausal components
388
Thought and Lorentz transformation
390
CHAPTER 31. RELATIVISTIC BRAIN
391
The self's attempt about self
391
Violating pauli exclusion
394
Fundamental supercommutator
395
True and false times. crossing the NOT barrier
399
CHAPTER 32. THE ASYMMETRIC MIND
400
Thought is processed forwards but understood backwards
400
Reversing the irreversible
403
Recovering lost data
404
Left!=right
406
PART 5: HOW MANY LOGICAL THEORIES?
408
CHAPTER 33. SEARCH FOR UNIVERSAL LOGIC
410
Intuition versus intuition
410
Truth series
413
Five fundamental logics
414
Boolean logic
416
Multivalued logic
418
Tense logic
419
Quantum logic
420
Fuzzy logic
422
CHAPTER 34. M(ATRIX) LOGIC
425
Tensorization of truth-values
425
From truth-tables to operators
426
Logical connectives interact
430
Logic without connectives
433
Quantum strings
436
Quantum basis sets
440
Logical superposition principle
442
Unitary inferences
446
Induction. Vacuum terms
451
If-then-else
451
Logic with division. solving logical ratios
452
Differential formal systems
455
CHAPTER 35. VIRTUAL LOGIC
460
Understanding septons
463
CHAPTER 36. MIND'S DYNAMICAL EQUATIONS
467
Canonical equations of motion
472
Supercommutation theorem
475
Satellite equations
477
Suprasymmetry
479
The integral equation of motion
481
The commutation equation of motion
482
Relation to the Heisenberg equation
486
Cognitive constants of motion
488
Spectral theorem
491
CHAPTER 37. LOGICAL POLYMERS
494
Phase transition
495
CHAPTER 38. COGNITIVE DIAGRAMS
500
Connecting logic to the vacuum
500
Matrix nets and the self-solving brain
502
Renormalization
503
Open ended diagrams and vacuum traps
505
CHAPTER 39. QUANTUM-LOGICAL COMPUTER
508
Superbits
509
The computer as a quantum particle
512
Quantum Turing Machine
519
Atomic registers
521
Differential quantum algorithms
526
Quantum engineering: Spintronics
528
Dialing quantum numbers
533
Quantum codes
536
Self-correcting codes
540
Codewords and inwords
541
Quantum codes and the intelligence code
550
CHAPTER 40. EVERYTHING IS LOGIC
558
Quark logic
558
Double parity check
562
Unitarization of implication and supercommutators
566
Matrix base
568
Transmultiplication
575
Basis sets
577
Logical mesons
578
Monologic
581
Consciousness as the macroanalogue of quarks
582
CHAPTER 41. POSTSCRIPT
587
APPENDIX
588
24+2 roots of IS
588
40 factorizations of NOT
589
136 commutators of NOT
590
40 anticommutators of NOT
591
180 commutators of NOT diag
592
REFERENCES
594
GLOSSARY
600
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