My Principal Directions of Research  The Theory of Extended Object Brane World Clifford Algebra, Geometry and Physics Relativistic Dynamics with an Invariant Evolution Parameter The Exact Parity Model-Mirror World Kaluza-Klein Theorie Miscellaneous

IARD 2016 Conference, Ljubljana, Slovenia

Book 2016 (WorldScientific):                                       Beyond Peaceful Coexistence The Emergence of Space, Time and Quantum     Book 2020 (Wordl Scientific): Stumbling Block Against Unification    (See on Amazon)

Matej Pavsič Department of Theoretical Physics J. Stefan Institute Jamova 39 SI-1001 Ljubljana Slovenia

Book                                                  The Landscape of Theoretical Physics: A Global View

From Point Particles to the
Brane World and Beyond, in
Search of a Unifying Principle

Kluwer Academic Publishers, Dordrecht

Hardbound, ISBN 0-7923-7006-6
June 2001, 388 pp.

• The Theory of Extended Objects (conventional approach)

A series of papers on relativistic extended objects described by the conventional Dirac-Nambu-Goto action, ADW splitting of the worldsheet parameters, rigid particles and p-branes, etc.:

Phase Space Action for Minimal Surfaces of any Dimension in Curved Spacetime

Physics Letters B 197 (1987) 327-331



Generalizaztion of the BDHP String Action to Membranes of any Dimension in Curved Spacetime

Classical and Quantum Gravity 5 (1988) 247-252



Classical Motion of membranes, Strings and Point Particles with Extrinsic Curvature

Physics Letters B  205 (1988)  231-236



The Quantization of a Point Particle with Extrinsic Curvature Leads to the Dirac Equation

Physics Letters B 221 (1989) 264-268
An explanation of how spinors can be represented as wave functions with half integer values of ``orbital momentum'' in velocity space can be found here(see also  D. Pandres, Jr., Schrödinger Basis for Spinor Representation of the Three-Dimensional Rotation Group, Journal of Mathematical Physics, 6 (1965) 1098-1102)



On the Consistent Derivation of Rigid Particles from Strings

Classical and Quantum Gravity 7 (1990) L187-L191



Point Particle-Like Action for p-Branes

Classical and Quantum Gravity 9 (1992) L13-L20



Dirac's Shell Model of the Electron and the General Theory of Moving Relativistic Charged Membranes (with A.O. Barut)

Physics Letters B 306 (1993) 49-54



Radiation Reaction and the Electromagnetic Energy-Momentum of Moving Relativistic Charged Membranes (with A.O. Barut)

Physics Letters B 331 (1994) 45-50
We point out that the well known problem of  the factor 3/4 does not exist in the properly formulated theory of electron's mass.

• The Theory of Extended Objects (less conventional approach)

• Point Particle with Extrinsic Curvature as a Boundary of a Nambu-Goto String: Classical and Quantum Model Particle-Like Action for p-Branes
  Advances in Applied Clifford Algebras 26 (2016) 315-352

•  A non-trivial zero length limit of the Nambu-Goto string
  Physics Letters B  740 (2015) 329-334
  

• A New Approach to the Classical and Quantum Dynamics of Branes
  International Journal of Modern Physics A 31 (2016) 1650115

• Branes and Quantized Fields
  Journal of Physics: Conference Series  845 (2017) 012018 (27 pages)
  

• Brane World 

New: My  paper  A Brane World Model with Intersecting Branes Physics Letters A 283  (2001) 8-14 is available here

Old:  My papers On the Quantization of Gravity by Embedding Space-Time in a Higher Dimensional space Classical and Quantum Gravity 2 (1985) 869-889 and
Classical Theory of a Space-Time Sheet Physics Letters A 107 (1985) 66-70 discuss the Regge-Teitelboim approach to embedding and also ``a brane world'' like approach in which the action is just the Dirac-Nambu-Goto minimal surface action.

In 1986 I switched entirely to the approach which employs the minimal surface action and is roughly similar to the modern ``brane world'' models.

Some of my old papers on ``Brane World":

My paper   Einstein's Gravity from a First Order Lagrangian in an Embedding space

Physics Letters A 116  (1986) 1-5 is available as e-print gr-qc/0101075 An Alternative to Matter Localization in the `Brane World': An Early Proposal and its Later Improvements
The body of the paper is identical to the  published version: a footnote is added, and a note at the end



String Model for General Relativity and Canonical Formalism for Minimal Surfaces

Nuovo Cimento A 95 (1986) 297-310



The Embedding Model of Induced Gravity with Bosonic Sources

Foundations of Physics 24 (1994) 1495-1518
A shorter version of the paper was published in Gravitation and Cosmology 2 (1996) 1-6; e-print gr-qc/9511020



Space-Time as an Unconstrained Membrane

Gravitation and Cosmology 3 (1997) 305-311



On the Resolution of Time Problem in Quantum Gravity induced from Unconstrained Membranes

Foundations of Physics 26 (1996) 159-195

• Clifford Algebra, Geometry and Physics       Clifford space (A brief summary)
  

Book:      The Landscape of Theoretical Physics: A Global View
                (Kluwer Academic Publishers, Dordrecht 2001).
                 It discusses - among others-  Clifford Algebra and its usefulness in the description of geometry and physics.

Clifford Algebra Based Polydimensional Relativity and Relativistic Dynamics Talk given at IARD 2000 Conference: 2nd Biennial Meeting, Ramat Gan, Israel, 26-28 June 2000

Foundations of Physics 31 (2001)  1185-1209
e-print: hep-th/0011216



Higher Derivative Gravity and Torsion from the Geometry of C-spaces (with C. Castro)

Physics Letters B 539 (2002) 133-142
e-print : hep-th/0110079



Clifford Algebra of Spacetime and the Conformal Group (with C. Castro)

International Journal of Theoretical Physics 42(2003) 1693-1705
e-print: hep-th/0203194



How the Geometric Calculus Resolves the Ordering Ambiguity of Quantum Theory in Curved Space

Classical and Quantum Gravity 20 (2003) 2697-2714
e-Print : gr-qc/0111092



Clifford Space as the Arena for Physics  Presented at IARD 2002 Conference: 3rd Biennial Meeting, Washington, D.C., 24-26 Jun 2002

Foundations of Physics 33 (2003) 1277-1306
e-print : gr-qc/0211085



Kaluza-Klein Theory without Extra Dimensions: Curved Clifford Space 

Physics Letter B 614 (2005)  85-95
e-print: hep-the/0412255

 Clifford space as a generalization of spacetime: Prospects for QFT of point particles and strings.
Foundations of Physics 35 (2005) 1617-1642
e-Print: hep-th/0501222


Spin gauge theory of gravity in Clifford space: A Realization of Kaluza-Klein theory in 4-dimensional spacetime


 International Journal of  Modern Physics A  21 (2006) 5905-5956
e-print: gr-qc/0507053

On a Unified Theory of Generalized Branes Coupled to Gauge Fields, Including the Gravitational and Kalb-Ramond Fields


 Foundations of Physics   37 (2007) 1197-1242
 e-print: hep-th/0605126


• A Novel View of the Physical Origin of E8
   Journal of Physics A 41 (2008) 332001 (10 pages)
   e-Print: 0806.4365 [hep-th]


• A Theory of Quantized Fields Based on Orthogonal and Symplectic Clifford Algebras
  Advances in Applied Clifford Algebras  DOI: 10.1007/s00006-011-0314-4
  e-Print: arXiv:1104.2266 [math-ph]


•  Quantum Field Theories in Spaces with Neutral Signatures
    Journal of Physics Conference Series 437 (2013) 012006 10.1088/1742-6596/437/1/012006
  e-Print:  arXiv:1210.6820 [hep-th] | PDF

• Relativistic Dynamics with an Invariant Evolution Parameter 

In 1998 I realized that the relativistic dynamics with an invariant evolution parameter as has
been  investigated by many researchers (Fock, Feynman, Schwinger, Horwitz, Fanchi, etc.) is in fact automatically embedded in the Clifford algebra based polydimensional relativity. This was explored in my book "The Landscape...", and the paper "Clifford Algebra Based Polydimensional Relativity..." cited above.
 

Below are listed some of my papers on relativity and  invariant evolution parameter

• Relativistic Quantum Mechanics and Quantum Field Theory with Invariant Evolution Parameter 
  Nuovo Cimento A 104 (1991) 1337-1354

• On the Interpretation of the Relativistic Quantum Mechanics with Invariant Evolution Parameter  
  Foundations of Physics 21 (1991) 1005-1019

• The Classical and Quantum Theory of Relativistic p-Branes without Constraints  
  Nuovo Cimento A 108 (1995) 221-236
  

• Relativistic p-Branes without Constraints and their Relation to the Wiggly Extended Objects 
  Foundations of Physics 25 (1995) 819-832
  

• Fock-Schwinger Proper Time Formalism for p-Branes
 Nuclear Physics Proc.Suppl. 57 (1997)265-268


• The Dirac-Nambu-Goto p-Branes as Particular Solutions to a Generalized, Unconstrained Theory
 Nuovo Cimento A 110  (1997) 369-396


• The Unconstrained Stueckelberg-Like Membrane's Action as a Reduced Dirac-Nambu-Goto Action
 Physics Letters A 242 (1998) 187-192

• The Exact Parity Model (Mirror Particles)

• External Inversion, Internal Inversion, and Reflection Invariance
International Journal of Theoretical Physics 229 (1974) 229-244
e-print hep-ph/0105344

• Space Inversion of Spinors Revisited: A Possible Explanation of Chiral Behaviour in Weak Interactions
  
Physics Letters B 692 (2010) 212-217  [doi:10.1016/j.physletb.2010.07.041 ]
e-print 1005.1500 [hep-th]

• Geometric Spinors, Generalized Dirac Equation and Mirror Particles Conference:  C13-06-24.8 e-Print: arXiv:1310.6566 [hep-th]

• Kaluza-Klein Theories 

• Unified Theory of Gravitation and Electromagnetism, based on the Conformal Group SO(4,2)
Nuovo Cimento B 41 (1977) 397-427


• Solution of the Planck Mass problem in Kaluza-Klein Theories
Journal of Physics G 8 (1982) L89-L92


• Kaluza-Klein Approach to the Classical Model of the Dirac Electron (with A.O Barut)
Classical and Quantum Gravity 5 (1988) 707-711


• A Systematic Study of 5-Dimensional Kaluza-Klein Theory with Sources Consisting of Point Particles and Strings (with N.Mankoč-Borstnik)
Nuovo Cimento A 99 (1988) 489-507

• Miscellaneous  

• Klein-Gordon-Wheeler-DeWitt-Schroedinger Equation
Physics Letters B 703 (2011) 614-619 doi:10.1016/j.physletb.2011.08.041
e-Print:  arXiv:1106.2017 [gr-qc]


• On the Stueckelberg Like Generalization of General Relativity
  
Journal of Physics: Conference Series  330 (2011) 012011 (13 pages)  doi:10.1088/1742-6596/330/1/012011
e-Print: arXiv:1104.2462 [math-ph]

• Stable Self-Interacting Pais-Uhlenbeck Oscillator
  Modern Physics Letters A 28 (2013) 1350165 DOI: 10.1142/S0217732313501654
  e-Print: arXiv:1302.5257 [gr-qc] | PDF

• Pais-Uhllenbeck Oscillator with a Benign Friction Force
  Physical Review D  87 (2013) 107502 DOI: 10.1103/PhysRevD.87.107502   
  e-Print arXiv:1304.1325 [gr-qc] | PDF

•  A Non-Trivial Zero Length Limit of the Nambu-Goto String
   Physics Letters B  740 (2015) 329-334  DOI: 10.1016/j.physletb.2014.12.009
   e-Print: arXiv:1407.7111 [hep-th]