Publications
1988
 M. Czachor, "Should one expect E=hv for any massless field?",
in Problems in Quantum Physics, edited by L. Kostro et al. World
Scientific, Singapore (1988).
 M. Czachor, "On some class of random variables leading to violation
of the Bell inequality", Phys. Lett. A 129, 291 (1988); new version (2017) arXiv:1710.06126 [quantph]
1989
 M. Czachor, "Mackinnon's soliton reexamined", Phys.Lett. A 139,
193 (1989)
1991
 M. Czachor, "Mobility and nonseparability", Found.Phys.Lett. 4,
351 (1991) [pdf]
 M. Czachor, "On Sachs approach to unification of general relativity
and electrodynamics", Phys.Essays 4, 76 (1991)
1992
 M. Czachor, "Nonlocality in nonlinear quantum mechanics", in Bell's
theorem and the foundations of modern physics, edited by F. Selleri and
A. van der Merwe, World Scientific, Singapore (1992)
 M. Czachor, "On classical models of spin", Found.Phys.Lett. 5, 249
(1992), quantph/0205010 [pdf]
1994
 M. Czachor, "Bell theorem without inequalities: A single particle
formulation" Phys.Rev. A 49, 2231 (1994). [pdf]
1995
 M. Czachor, M.Kuna and W.A.Majewski, "Lyapunov instability of squeezing:
An approach via quantum Lyapunov exponents", Acta Phys.Polon. B 26, 1047
(1995)
1996
 M. Czachor, "Nonlinear Schroedinger equation and twolevel atoms",
Phys.Rev.A 53, 1310 (1996). [pdf]
 M. Czachor and L. You, "Nonsimultaneous spontaneous emission from
atomic wave packets", in Coherence and Quantum Optics VII, edited
by J. H. Eberly, L. Mandel and E. Wolf, Plenum Press, New York (1996)
 M. Czachor, "LiePoisson and LieNambu structures in linear and
nonlinear QM", Acta Phys. Polon. B 27, 2319 (1996)
1997
 M. Czachor and M. Kuna, "Offshell triple bracket generalization
of the Dirac equation", in Group 21  Physical Applications and Mathematical
Aspects of Geometry, Groups, and Algebras, edited by H.D. Doebner,
P. Nattermann, and W. Scherer, p. 451455 (World Scientific, Singapore,
1997)
 M. Czachor, "EinsteinPodolskyRosenBohm experiment with relativistic
massive particles", Phys. Rev. A 55, 72 (1997), quantph/9609022
 M. Czachor, "Nambutype generalization of the Dirac equation", Phys.
Lett. A 225, 1 (1997), quantph/9601015.
 M. Czachor, "Relativistic corrections to the Ekert test for eavesdropping",
Proceedings of SPIE vol. 3297, p. 141147 (1997), quantph/0205187.
 M. Czachor, book review Quantum Relativity: A Synthesis of the
Ideas of Einstein and Heisenberg, Class. Quant. Gravity 14, 1012 (1997).
1998
 M. Czachor and M. Marciniak, "Density matrix interpretation of solutions
of LieNambu equations", Phys. Lett. A 239, 353358 (1998), quantph/9707013.
 M. Czachor, "Structure of nonlinear gauge transformations", Phys.
Rev. A 57, R2263R2266 (1998), quantph/9711053.
 M. Czachor, "Nonlocallooking equations can make nonlinear quantum
dynamics local", Phys. Rev. A 57, 4122 (1998), quantph/9708052.
 M. Czachor and M. Kuna, "Complete positivity of nonlinear evolution:
A case study", Phys. Rev. A 58, 128 (1998), quantph/9708029.
 M. Czachor, "Remarks on search algorithms and nonlinearity", Acta
Phys. Slov. 48, 157 (1998), quantph/9802051 (the eprint is more detailed
than the published version).
 S. B. Leble and M. Czachor, "Darbouxintegrable nonlinear Liouvillevon
Neumann equation", Phys. Rev. E 58, 7091 (1998), quantph/9804052.
1999
 M. Czachor, "LieNambu and beyond", Int. J. Theor. Phys. 38, 475500
(1999), quantph/9711054 [pdf]
 M. Czachor and L. You, "Spatially sequential turnon of spontaneous
emission from atomic wave packets", Int. J. Theor. Phys. 38, 277289 (1999),
quantph/9802059. [pdf]
 M. Czachor, "BargmannWigner spinors", in Photon and Poincare
Group, ed. V. V. Dvoeglazov, p. 3262 (Nova Science, 1999), hepth/9701135.
 M. Czachor and J. Naudts, "Microscopic foundation of nonextensive
statistics", Phys. Rev. E 59, R2498 (1999), quantph/9809061.
 M. Kuna, M. Czachor, and S. B. Leble, "Nonlinear von Neumanntype
equations: Darboux invariance and spectra", Phys. Lett. A 225, 4248 (1999),
quantph/9810023.
 M. Czachor, "Quantum cryptography with polarizing interferometers",
Phys. Lett. A 257, 107112 (1999), quantph/9812030.
2000
 M. Czachor, M. Kuna, S. B. Leble, and J. Naudts, "Nonlinear von
Neumanntype equations", in Trends in Quantum Mechanics, ed. H.D.
Doebner et al., 209226 (World Scientific, Singapore, 2000), quantph/9904110.
 M. Czachor, H.D. Doebner, M. Syty, K. Wasylka, "Von Neumann equations
with timedependent Hamiltonians and supersymetric quantum meachanics", Phys.
Rev. E 61, 33253329 (2000), quantph/9907059.
 M. Syty, K. Wasylka, M. Czachor, "The beauty of Harzians", in Quantum
Theory and Symmetries, eds. H.D. Doebner et al. 171175 (World Scientific,
Singapore, 2000).
 M. Czachor, "Noncanonical quantum optics", J. Phys. A: Math. Gen.
33, 80818103 (2000), quantph/0003091.
2001
 J. Naudts and M. Czachor, "Dynamic and thermodynamic stability of
nonextensive systems", in Nonextensive statistical mechanics and its
applications, ed. S. Abe and Y. Okamato, Lecture Notes in Physics 560,
243252 (Springer, 2001).
 N. V. Ustinov, M. Czachor, M. Kuna, S. B. Leble, "Darboux integration
of idr /dt=[H,f(r
)]", Phys. Lett. A 279, 333340 (2001), quantph/0005030.
2002
 M. Czachor, J. Naudts, "Thermostatistics based on KolmogorovNagumo
averages: Unifying framework for extensive and nonextensive generalizations",
Phys. Lett. A 298, 369374 (2002), [pdf]
 M. Czachor, H.D. Doebner, "Correlation experiments in nonlinear
quantum mechanics", Phys. Lett. A 301, 139152 (2002), quantph/0110008.
 N. V. Ustinov, M. Czachor, "Darbouxintegrable equations with nonAbelian
nonlinearities", in Probing the structure
of quantum mechanics: Nonlinearity, nonlocality, computation, axiomatics,
D. Aerts, M. Czachor, T. Durt (Editors), 335353 (World Scientific, Singapore,
2002), nlin.SI./0011013.
 D. Aerts, M. Czachor, T. Durt, "Probing the structure of quantum
mechanics", in Probing
the structure of quantum mechanics: Nonlinearity, nonlocality, computation,
axiomatics, D. Aerts, M. Czachor, T. Durt (Editors), 119 (World Scientific,
Singapore, 2002).
2003
 J. L. Cieśliński, M. Czachor, N. V. Ustinov, "Darboux covariant
equations of von Neumann type and their generalizations, J. Math. Phys.
44 (2003) 1763, nlin.SI/0205061 [pdf]
 D. Aerts, M. Czachor, L. Gabora, M. Kuna, A. Posiewnik, J. Pykacz,
M. Syty, "Quantum morphogenesis: A variation on Thom's catastrophe theory",
Phys. Rev. E 67, 051926 (2003), quantph/0211105; Virtual Journal of Biological
Physics, June 2003
 M. Czachor, M. Wilczewski, "Relativistic BennettBrassard cryptographic
scheme, relativistic errors, and how to correct them", Phys. Rev. A 68, 010302(R)
(2003), quantph/0211105; Virtual Journal of Quantum Information, August
2003
 M. Czachor, "States of light via reducible quantization", Phys.
Lett. A 313, 380388 (2003), quantph/0211009.
2004
 D. Aerts, M. Czachor, "Quantum aspects of semantic analysis and
symbolic artificial intelligence", J. Phys. A: Math. Gen. 37, L123L132
(2004), quantph/0309022.
 M. Czachor, "Reducible representations of CAR and CCR with possible
applications to field quantization", J. Nonlin. Math. Phys. Supplement 11,
7884 (2004), hepth/0304144.
2005
 M. Czachor, "Comment on `Quantum entropy and special relativity',
by . A. Peres, P.F. Scudo, and D. Terno", Phys. Rev. Lett. 94, 078901 (2005),
quantph/0312040.
2006
 D. Aerts, M. Czachor, L. Gabora, P. Polk, "Soliton kinetic equations
with nonKolmogorovian structure: A new tool for biological modeling?" AIP
Conference Proceedings 810, 1933 (2006).
 D. Aerts, M. Czachor, "Abstract DNAtype systems", Nonlinearity
19, 575589 (2006), qbio.PE/0411031.
 D. Aerts, M. Czachor, M. Pawłowski, "Entangledstate cryptographic
protocol that remains secure even if nonlocal hidden variables exist and
can be measured with arbitrary precision”, Phys. Rev. A 73, 034303 (2006);
Erratum  Phys. Rev. A 73, 059901(E) (2006), quantph/0501003.
 M. Pawłowski, M. Czachor, "Degree of entanglement as a physically
illposed problem: The case of entanglement with vacuum”, Phys. Rev. A 73,
042111 (2006), quantph/0512253.
 D. Aerts, M. Czachor, B. D'Hooghe, "Towards a quantum evolutionary
scheme: violating Bell's inequalities in language", Evolutionary Epistemology,
Language and Culture: A nonadaptationist, systems theoretical approach,
Theory and Decision Library A: , Vol. 39 N. Gontier, J.P. Bendegem, D. Aerts,
Eds. (Springer, Berlin, 2006) 453478, quantph/0407150
2007
 M. Czachor, J. Naudts, "Regularization as quantization in reducible
representations of CCR", Int. J. Theor. Phys. 46, 73104 (2007), hepth/0408017 [pdf].
 D. Aerts, M. Czachor, "Cartoon computation: Quantumlike algorithms
without quantum mechanics", J. Phys. A: Math. Theor. 40, F259F266 (2007),
Fast Track Communication, quantph/0611279.
 D. Aerts, M. Czachor, M. Pawłowski, "Security in quantum cryptography
vs. nonlocal hidden variables" AIP Conference Proceedings 889, 7178 (2007).
 M. Czachor, M. Wilczewski, "Cavity QED tests of representations of
canonical commutation relations employed in field quantization", Int. J.
Theor. Phys. 46, 12151228 (2007), quantph/0509117 [pdf].
 M. Czachor, "Elementary gates for cartoon computation", J. Phys. A:
Math. Theor. 40, F753F759 (2007), Fast Track Communication, arXiv:0706.0967
[quantph].
 D. Aerts, M. Czachor, J. Dehaene, B. De Moor, B. D'Hooghe, "Macroscopic
models for quantum systems and computers", J. Phys.: Conference Series 70,
012001 (2007).
 D. Aerts, M. Czachor,
"Twostate dynamics for replicating twostrand systems", Open Systems and Information Dynamics 14, 397410 (2007)
(figures in color are available here).
2008
 D. Aerts, M. Czachor, "Tensorproduct vs. geometricproduct coding", Phys. Rev. A 77, 012316 (2008),
arXiv:0709.1268 [quantph].
 D. Aerts, E. D'Hondt, B. D'Hooghe, M. Czachor, J. Dehaene, B. De Moor,
"A macroscopic device for quantum computation", Int. J. Theor. Phys. 47, 200211 (2008).
 M. Czachor,
"Teleportation seen from spacetime: on 2spinor aspects of quantum information processing", Class. Quantum Grav. 25, 205003 (2008), arXiv:0803.3289 [quantph].
2009
 D. Aerts, M. Czachor, Ł. Orłowski, "Teleportation of geometric structures in 3D", J. Phys. A: Math. Theor. 42, 135307 (2009), arXiv:0809.0579 [quantph].
 M. Wilczewski, M. Czachor, "Theory versus experiment for vacuum Rabi oscillations in lossy cavities ", Phys. Rev. A 79, 033836 (2009),
arXiv:0811.3177 [quantph].
 M. Wilczewski, M. Czachor, "Theory versus experiment for vacuum Rabi oscillations in lossy cavities (II): Direct test of uniqueness of vacuum ",
Phys. Rev. A 80, 013802 (2009),
arXiv:0904.1618 [quantph]
 M. Czachor, K. Wrzask, "Automatic regularization by quantization in reducible representations of CCR: Pointform quantum optics with classical sources", Int. J.
Theor. Phys. 48, 2511 (2009), arXiv:0806.3510v3 [mathph], DOI: 10.1007/s1077300900386
 D. Aerts, M. Czachor, B. De Moor, "Geometric analogue of holographic reduced representation", Journal of Mathematical Psychology 53, 389398 (2009),
arXiv:0710.2611 [cs.AI], [pdf]
2010
 M. Czachor, "Twospinors, oscillator algebras, and qubits: aspects
of manifestly covariant approach to relativistic
quantum information", Quantum Information Processing 9, 171232 (2010),
arXiv:1002.0066v3 [quantph], DOI 10.1007/s1112801001634 [pdf].
2011
 A.PatykŁońska, M. Czachor, D. Aerts, "A comparison of geometric analogues of Holographic Reduced Representations, original
Holographic Representations and Binary Spatter Codes", Proceedings of the Federated Conference on Computer Science and Information Systems, 221228 (IEEE, 2011)
[pdf].
 A.PatykŁońska, M. Czachor, D. Aerts, "Distributed representations based on geometric algebra: The continuous
model", Informatica 35, 407–417 (2011).
(essentially a journal version of the IEEE proceedings paper  contribution invited by the editors)
[pdf]
 P. Stefańska, M.Wilczewski, M. Czachor, "Vacuum Rabi oscillation in nonzerotemperature open cavity", Open Systems and Information Dynamics 18, 363373 (2011),
arXiv:1012.1014v1 [quantph], [pdf]
 D. Aerts, J. Broekaert, M. Czachor, B. D'Hooghe, "A quantumconceptual explanation of violations of expected utility in economics",
Proceedings of QI2011Fifth International Symposium on Quantum Interaction, Robert Gordon University, Aberdeen, Scotland, June 2729, 2011.
Quantum Interaction. Lecture Notes in Computer Science, 7052, pp. 192198. http://uk.arxiv.org/abs/1004.2525.
doi: 10.1007/9783642249716_19.

D. Aerts, S. Bundervoet, M. Czachor, B. D'Hooghe, L. Gabora, P. Polk,"On the foundations of the theory of evolution".
In D. Aerts, J. Broekaert, B. D'Hooghe and N. Note (Eds.), Worldviews, Science and Us: Bridging Knowledge and Its Implications for Our Perspectives of the World
(pp. 266280). Singapore: World Scientific

D. Aerts, M. Czachor, S. Sozzo, "Quantum interaction approach in cognition, artificial intelligence and robotics".
In V. Privman and V. Ovchinnikov (Eds.), IARIA, Proceedings of the Fifth International Conference on Quantum, Nano and Micro Technologies,
pp. 3540, http://arxiv.org/abs/1104.3345
2013

M. Czachor, "Uderzenie w brzozę opływem końcówki lewego skrzydła  alternatywny scenariusz pierwszej fazy Katastrofy Smoleńskiej", materiały konferencyjne
I Konferencji Smoleńskiej, 22 października 2012, Warszawa (2013)

D. Aerts, M. Czachor, M. Kuna, S. Sozzo, "Systems, environments, and soliton rate equations: A nonKolmogorovian framework for population dynamics",
Ecological Modelling 267, 8092 (2013).
2014

D. Aerts, J. Broekaert, M. Czachor, M. Kuna, S. Sozzo, B. Sinervo, "Quantum structure in competing lizard communities",
Ecological Modelling 281, 38–51 (2014).
2015

M. Czachor, "Relativity of arithmetic as a fundamental symmetry of physics",
Quantum Studies: Mathematics and Foundations (Springer Open Access, first online 7 Sep. 2015), arXiv:1412.8583 [mathph], DOI:
10.1007/s4050901500564
2016
 M. Czachor, A. Posiewnik, "Wavepacket of the Universe and its spreading", Int. J.
Theor. Phys. 55, 20012011 (2016); arXiv:1312.6355 [grqc], DOI:
10.1007/s1077301528407

M. Czachor, "Relativity of arithmetic as a fundamental symmetry of physics" (printed version),
Quantum Stud.: Math. Found. 3, 123133 (2016), DOI:
10.1007/s4050901500564

D. Aerts, M. Czachor, M. Kuna, "Crystallization of space: Spacetime fractals from fractal arithmetic",
Chaos, Solitons and Fractals 83, 201211 (2016), arXiv:1506.00487 [grqc]
[pdf].

D. Aerts, M. Czachor, M. Kuna, "Fourier transforms on Cantor sets: A study in nonDiophantine arithmetic and calculus",
Chaos, Solitons and Fractals 91, 461468 (2016), arXiv:1603.05471 [mathph]
[pdf].
2017
 M. Czachor, "If gravity is geometry, is dark energy just arithmetic?", Int. J.
Theor. Phys. 56, 13641381 (2017), arXiv:1604.05738 [mathph], DOI:
10.1007/s107730173278x.
 M. Czachor, "Information processing and Fechner's problem as a choice of arithmetic", in M. Burgin and W. Hofkirchner (eds.),
Information Studies and the Quest for Interdisciplinarity: Unity Through Diversity,
pp. 363372, World Scientific, Singapore (2017); arXiv:1602.00587 [qbio.NC].
2018

M. Czachor, "Co dalej z badaniami Katastrofy Smoleńskiej?  uwagi po dwóch latach", Kurier WNET, 2/2018
[pdf]; wersja rozszerzona
[pdf]

D. Aerts, M. Czachor, M. Kuna, "Simple fractal calculus from fractal arithmetic",
Rep. Math. Phys. 81, 357370 (2018), arXiv:1606.01337 [math.GN]