Jaykov Foukzon

[31] viXra:2602.0115 submitted on 2026-02-21 03:12:43, (91 unique-IP downloads)

Non-Archimedean Functional Analysis Over Non-Archimedean Field ^{∗}ℝ_{c}^{}. Applications to Constructive Quantum Field Theory.part II.essential #-Self Adjointness of Hamiltonian H_{0}+V.

Authors: Jaykov Foukzon
Category: Mathematical Physics

[30] viXra:2507.0222 submitted on 2025-07-31 15:11:19 , (174 unique-IP downloads)

Generalized Random Measures.double Stochastic Processes and Generalized Chapman Kolmogorov Equations.random Feinman Measure

Authors: Jaykov Foukzon
Category: General Mathematics

[29] viXra:2506.0137 replaced on 2025-11-18 23:07:06 , (353 unique-IP downloads)

Double Stochastic Quantization:non Perturbative Approach to Stochastic Quantization F_d ^2n , N ≥ 2, D ≥ 4 Model Eucledean Quantum Field Theory

Authors: Jaykov Foukzon
Category: Mathematical Physics

[28] viXra:2410.0119 submitted on 2024-10-21 20:58:20, (167 unique-IP downloads)

Model P(φ)_4 Quantum Field Theory a Nonstandard Approach Based on Nonstandard Pointwise-Defined Quantum Fields Part II: the Field Operators and the Approximate Vacuum

Authors: Jaykov Foukzon
Category: Mathematical Physics

[27] viXra:2308.0091 replaced on 2024-05-18 21:28:17 , (386 unique-IP downloads)

Basic Non-Archimedean Functional Analysis Over Non-Archimedean Field ^{∗}ℝ_{c}^{#}. Application to Constructive Quantum Field Theory

Authors: Jaykov Foukzon
Category: Mathematical Physics

[26] viXra:2305.0182 replaced on 2023-08-12 11:51:16, (356 unique-IP downloads)

Model λ(φ^2n )_4,n≥2 Quantum Field Theory: A Nonstandard Approach Based on Nonstandard Pointwise-Defined Quantum Fields

Authors: Jaykov Foukzon
Category: Mathematical Physics

[25] viXra:2207.0074 replaced on 2023-02-13 03:22:53, (368 unique-IP downloads)

Model P(φ)_4 Quantum Field Theory. A Nonstandard Approach Based on Nonstandard Pointwise-Defined Quantum Fields

Authors: Jaykov Foukzon
Category: Mathematical Physics

[24] viXra:2202.0090 submitted on 2022-02-13 23:12:04, (246 unique-IP downloads)

Internal Set Theory Ist^{}based on Gyper Infinitary Logic with Restricted Modus Ponens Rule

Authors: Jaykov Foukzon
Category: Set Theory and Logic

[23] viXra:2202.0067 submitted on 2022-02-13 02:06:23, (205 unique-IP downloads)

Inconsistent Number Systems,nowel Development.

Authors: Jaykov Foukzon
Category: Set Theory and Logic

[22] viXra:2202.0040 replaced on 2022-02-18 20:40:44, (607 unique-IP downloads)

The Solution of the Invariant Subspace Problem Part I. Complex Hilbert space

Authors: Jaykov Foukzon
Category: Functions and Analysis

[21] viXra:2111.0140 replaced on 2021-12-19 01:34:57, (456 unique-IP downloads)

Set Theory NC_{∞^{}}^{} Based on Bivalent Infinitary Logic with Restricted Modus Ponens Rule. Basic Real Analysis on External Non-Archimedean Field ℝ_{c}^{}. Basic Complecs Analysis on External Field ℂ_{c}^{}=ℝ_{c}^{}[i].

Authors: Jaykov Foukzon
Category: Functions and Analysis

[20] viXra:2108.0063 replaced on 2021-09-22 12:35:44, (481 unique-IP downloads)

Set Theory Inc^# _∞^# Based on Infinitary Intuitionistic Logic with Restricted Modus Ponens Rule (Part.iii): Hyper Inductive Definitions.application in Transcendental Number Theory.generalized Lindemann-Weierstrass Theorem

Authors: Jaykov Foukzon
Category: Set Theory and Logic

[19] viXra:2105.0034 replaced on 2021-06-04 05:04:26, (395 unique-IP downloads)

Set Theory INC# ∞# Based on Infinitary Intuitionistic Logic with Restricted Modus Ponens Rule (Part.II) Hyper Inductive Definitions

Authors: Jaykov Foukzon
Category: Set Theory and Logic

[18] viXra:2102.0072 replaced on 2021-02-18 16:36:18, (397 unique-IP downloads)

Set Theory INC# Based on Intuitionistic Logic with Restricted Modus Ponens Rule

Authors: Jaykov Foukzon
Category: Set Theory and Logic

[17] viXra:2012.0125 replaced on 2021-01-24 18:30:31, (275 unique-IP downloads)

Comment on "Analyses of Mössbauer Experiments in a Rotating System: Proper and Improper Approaches"

Authors: Jaykov Foukzon
Category: Nuclear and Atomic Physics

[16] viXra:2009.0043 submitted on 2020-09-05 09:16:31, (179 unique-IP downloads)

Novel Explanation of the Active Galactic Nuclei: The Power Source of Quasars as a Result of Vacuum Polarization by the Gravitational Singularities on the Distributional BHs Horizon

Authors: Jaykov Foukzon, Elena R Men’kova, Alexander A Potápov
Category: Astrophysics

[15] viXra:2002.0061 submitted on 2020-02-04 04:06:09, (269 unique-IP downloads)

Singular Semi-Riemannian Geometry Using Colombeau Approuch.

Authors: Jaykov Foukzon, Elena Men’kova, Alexander Potapov
Category: Geometry

[14] viXra:1907.0116 submitted on 2019-07-07 12:01:37, (144 unique-IP downloads)

Remarks on Mӧller Mistaken Famous Paper from 1943

Authors: Jaykov Foukzon
Category: Relativity and Cosmology

[13] viXra:1803.0086 replaced on 2019-02-04 06:23:44, (423 unique-IP downloads)

Bimetric Theory of Gravitational-Inertial Field in Riemannian and in Finsler-Lagrange Approximation

Authors: Jaykov Foukzon, S.A.Podosenov, A.A.Potapov, E.Menkova
Category: Relativity and Cosmology

[12] viXra:1712.0403 replaced on 2019-05-09 16:59:48, (610 unique-IP downloads)

There is No Standard Model of ZFC and ZFC_2

Authors: Jaykov Foukzon
Category: Set Theory and Logic

[11] viXra:1605.0082 submitted on 2016-05-09 02:55:23, (256 unique-IP downloads)

Brief Introduction in Non-Archimedean Analysis on the Extended Hyperreal Line R_d. Euler’s Original Proof Revisited.

Authors: Jaykov Foukzon
Category: Number Theory

[10] viXra:1603.0001 replaced on 2016-03-12 03:28:28, (262 unique-IP downloads)

Distributional Spacetime in Classical and Quantum Cosmology

Authors: Jaykov Foukzon
Category: Quantum Gravity and String Theory

[9] viXra:1506.0145 replaced on 2019-10-22 10:54:43, (1067 unique-IP downloads)

Non-Archimedean Analysis on the Extended Hyperreal Line ∗R_d and the Solution of Some Very Old Transcendence Conjectures Over the Field Q.

Authors: Jaykov Foukzon
Category: Set Theory and Logic

[8] viXra:1505.0118 replaced on 2015-07-26 00:00:43, (286 unique-IP downloads)

Distributional Sads BH Spacetime-Induced Vacuum Dominance

Authors: Jaykov Foukzon
Category: Relativity and Cosmology

[7] viXra:1505.0035 submitted on 2015-05-04 14:41:54, (383 unique-IP downloads)

Distributional Schwarzschild Geometry from Nonsmooth Regularization Via Horizon

Authors: Jaykov Foukzon
Category: Relativity and Cosmology

[6] viXra:1412.0269 replaced on 2020-02-03 17:02:36, (306 unique-IP downloads)

Paraconsistent First-Order Logic with Infinite Hierarchy Levels of Contradiction LP_{ω}^{}.Axiomatical System HST_{ω}^{},as Paraconsistent Generalization of Hrbacek Set Theory HST.

Authors: Jaykov Foukzon
Category: Set Theory and Logic

[5] viXra:1412.0134 submitted on 2014-12-07 05:34:40, (234 unique-IP downloads)

Classical and Quasi-Classical Consideration of Charged Particles in Coulomb Field of Bound Charges

Authors: Stanislav Podosenov, Jaykov Foukzon, Alexander Potapov, Elena Men’kova
Category: Relativity and Cosmology

[4] viXra:1412.0130 replaced on 2015-02-27 12:54:44, (508 unique-IP downloads)

Relevant First-Order Logic LP# and Curry’s Paradox Resolution. Applications to da Costa’s Paraconsistent Set Theories.

Authors: Jaykov Foukzon
Category: Set Theory and Logic

[3] viXra:1311.0159 submitted on 2013-11-23 14:07:45, (196 unique-IP downloads)

Foundation of Paralogical Nonstandard Analysis and Its Application to Somefamous Problems of Trigonometrical and Orthogonal Series. Part II.

Authors: Jaykov Foukzon
Category: General Mathematics

[2] viXra:1308.0108 submitted on 2013-08-20 05:20:57, (355 unique-IP downloads)

Geometry of Noninertial Bases in Relativistic Mechanics of Continua and Bell’s Problem Solution

Authors: S.A. Podosenov, A.A. Potapov, Jaykov Foukzon, E.R. Men’kova
Category: Relativity and Cosmology

[1] viXra:1302.0048 replaced on 2017-12-23 09:04:43, (1303 unique-IP downloads)

Inconsistent Countable Set in Second Order ZFC and Nonexistence of the Strongly Inaccessible Cardinals

Authors: Jaykov Foukzon
Category: Set Theory and Logic