(a)

CL1

Author

Country2

TTM3

Significance4

Comments4

−5

Leucippus +

Democritus

possibly Abdera in Greece

TE

Atomic theory (Ado et al., 1981; Berryman, 2022)

This is possibly the first known use of TE in history (Míček, 1981) .

−3

Aristarchus

Samos in Greece

AM

Gross heliocentric model

(Ado et al. 1981)

This model was based on observations of Month and Antiquity Greek geometry.

Archimedes

Syracuse

(Greek Sicily)

MH

Principle of buoyancy

(Ado et al., 1981; Bečvář, 2012)

*Possibly the oldest law in physics

*Also the description of balance on the cage

6

John Philoponus

Eastern Roman Empire (Early Byzantium; recent Egypt)

TE

Theory of impetus-impetus was represented by the two expressions, i.e. kinetic capacity (dynamis) and kinetic force (energeia). Force is transmitted directly from mover to the body moved (Van Dyck & Malara, 2019; Wildberg, 2021)

*Theory of impetus represents precursor of Newtonian mechanics, i.e. the first theory achieving the level T2b (cf. chapter 6).

*This theory was further processed by J. Buridan (rector of Sorbona and co-founder of Kraków Academy) and J. Cantius (teacher working in Kraków Academy) in 14th and 15th centuries, respectively.

13

Ibn al-Nafis

Mamluk Sultanate

(recent Syria)

AM

Model of pulmonary circulation of blood (Hehmeyer & Khan, 2007)

*Model was deduced after several dissections of dead human bodies.

*Rediscovered by W. Harvey in 17th century

15

Leonardo

da Vinci

Toscana

(recent Italy)

AM

Multiple physical 3D models interesting with respect to mechanics (see e.g. Richardson (2019) or Marusic & Broomhall (2021) )

*Heart as a muscle pumping blood (Shoja et al., 2013)

*Discovery of rising by absorption

16

Nicolas

Copernicus

Poland

AM

Rediscovery of heliocentric model using contemporary trigonometry (Asimov, 1994; Kokowski, 2006)

Copernicus was possibly influenced by manuscripts of J. Buridan and J. Cantius dealing with the theory of impetus and located in Krakow.

17

Galileo

Galilei

Toscana

(recent Italy)

TE

Mp

TE generated factual Law of inertia (chapter 2) reformulated as MH by I. Newton

Mp enabled formation of typical objects in Galileo’s TE.

(Míček, 1981)

*Semi-quantitative description of gravitation (Machamer & Miller, 2021)

*Philosophical concepts for modern theoretical science (Ado et al., 1981)

*Galileo referenced theory of impetus (Van Dyck & Malara, 2019) .

Johannes Kepler

Holy Roman Empire (recent Germany)

MH

*Laws of planetary motion

using numerical analysis

(Thorvaldsen, 2010)

Kepler’s laws included discovery of elliptic motion of the planets and their countable dynamics.

Christian Huygens

Dutch Republic

Mp

Light as wave (Huygens principle; Aspect, 2017 )

*Author of early sci-fi (Stableford, 2003)

Isaac Newton

England

MH

*Laws of motion

*Law of universal gravitation

(Ado et al., 1981)

*Discovery of integral calculus (Šolcová, 2017)

*Philosophy concerning theoretical mechanics

*Mechanistic explanation of Kepler’s laws

18

Leonard Euler

Swiss Confederacy

AM

MH

Multiple mathematical models

Geneneralized equation for mechanics (cf. Lagrange)

*Importance for future statistics, medicine, informatics and architecture (Kolář, 2009) .

*Contribution to the graph theory (Kolář, 2009) .

Carl Linnaeus

Sweden

AM

The first partial model of taxonomic system (Calisher, 2007)

The model used morphological markers and was later re-evaluated in consequence of Darwin’s theory and sequence-based taxonomy.

Joseph L.

Lagrange

Kingdom of

Sardinia (Torino in recent Italy)

MH

Lagrangians – kinetical potentials of system

(Lehner & Wendt, 2017)

Generalization of Newton mechanics using Euler-Lagrange equations based on Langrangians. In contrast to Newton mechanics, this MH does not require additional geometrical diagrams.

19

Thomas R.

Malthus

England

AM

Gross exponential model of population growth (Stutz, 2014)

Malthus was primarily concerned with economics.

John Dalton

England

MH

Atomic theory – concept of atomic weights (Brdička & Dvořák, 1977)

Concept based on Proust’s law of definite proportions (possibly MH generated by TE)

Hans Christian Oersted

Denmark

TE

The first definition of TE

(Witt-Hansen, 1976)

Discovery of electromagnetism (Martins, 2003)

Pierre Francois Verhulst

Belgian

AM

Gross logistic model of population growth (Stutz, 2014)

Mathematical studies important for development of logistic regression

Gregor Johann Mendel

Austrian Empire

(recent Czech Republic)

MH

Mendelian laws of inheritance

(Hatina & Sykes, 1999)

Laws were derived based on rounding off enumerated empiric fractions, i.e. in agreement with empiric statistics.

James Clerk

Maxwell

Scotland

MH

MH

TE

Maxwell’s equations (ME)

Kinetic theory of gases

Inspiring Maxwell’s demon

(Landau & Lifshitz, 1973; Brdička & Dvořák, 1977)

*ME represent laws of electromagnetic field.

*Kinetic theory of gases constitutes (i) TE-generated MH and (ii) mechanistic form of chaos.

*Maxwell’s demon is still investigated (Cottet et al., 2017) .

(b)

CL1

Author

Country2

TTM3

Significance4

Comments4

20

Max K.E.L. Planck

German Confederation

HMT

MH

Black-body radiation

Planck units (e.g. length or time)

(Tomilin, 1999; Kleppner & Jackiw, 2000)

*Comments to philosophy of natural science

*Nobel Prize in Physics for his quantum theory (1918)

Leonor

Michaelis

German Empire

MH

Fundamental equation for enzyme kinetics completed with lucid linear representation

(Michaelis et al., 2011)

*M. L. Menten was co-author of this MH.

*Equation can be generalized for a large number of enzyme reactions and their inhibitions (Horák & Kotyk, 1977) .

Albert Einstein

German Empire

MH

Special and universal theories of relativity changing opinions following from Newtonian physics (Landau & Lifshitz, 1973; Boček, 1976)

*Discovery of photoelectric effect

*Space curved with gravity, speed changing masses, lengths and time intervals

*Application of tensors in the curved Riemannian space

*Nobel Prize in Physics (1921)

Robert S. Mulliken

USA

MH/

HMT

Molecular orbitals

(Mulliken, 1967)

*Electrons as common waves of molecules but not atoms

*Nobel Prize in Chemistry (1966)

Ervin Schrödinger

Austria- Hungary

(recent Austria)

MH

*Schrödinger equation (SE) derived using Mp (Brdička & Dvořák, 1977)

*SE is fundamental MH necessary for theoretical as well as semi-empiric quantum-physics-based predictions of molecular structures (cf. chapter 9).

*Nobel Prize in Physics (1933)

Niels Kay

Jerne

England/

Denmark

AM/

TE

*Immune (idiotypic) network - antibodies interact with both specific antigens and variable regions of other antibodies using the same site. This forms interactive network (Jerne, 1984) .

*Computer assisted versions of this AM develop only slowly due to complexity of the process, though the simplified abstract description via formal generative grammar is clear (Jerne, 1985) .

*Various usage of anti-idiotypic vaccines

*Generalized to complex Ig-superfamily network (Odales et al., 2020)

*Nobel Prize in Physiology or Medicine (1984)

Alan Turing

England

AM

Model of morphogenesis,

starting the investigation of non-mechanistic chaos (cf. Maxwell in this table and chapter 9)

(Turing, 1952)

*Turing is considered to be one of founders of theoretical computer science and artificial intelligence (e.g. Turing machine; Chytil, 1984 ).

*Decryption of Enigma-machine messages in the Second World War

Ilya Romanovich Prigogine

Russian

Empire

MH

Theory of dissipative structures

(area of biothermodynamics)

(Dvořák et al., 1982)

*Research of self-organizing systems including origin of life ( Prigogine, 1978 ; cf. chapter 9)

*Nobel Prize in Chemistry (1977)

Edward Norton Lorenz

USA

MH

Theory of deterministic chaos

(originally important model of weather; Lorenz, 1963 )

*A certain limitation of Butterfly effect consists in diffusion events (cf. chapter 9).

*Problems with specificity of the deduced chaodynamical agnosticism.

Richard Phillips Feynman

USA

MH

HMT

Theory of quantum electro-dynamics (Feynman, 1966)

Feynman diagrams were derived as convention based on HMT (Kugler, 2018)

*One of the first investigators in area of quantum computers

*Together with J. Schwinger and S. Tomonaga Nobel Prize in Physics (1965) concerning quantum electrodynamics

James Dewey Watson

USA

AM

Physical 3D model of DNA based on X-ray diffraction proposed together with F. Crick (Watson & Crick, 1953; Alberts et al., 2008)

*The model explained genomic reproduction based on nucleotide-base-complementarities.

*Participation in human genome project (Green et al., 2014) .

*Together with F. Crick and M. Wilkins Nobel Prize in Physiology or Medicine (1962)

Radu Bălescu

Romania

MH

Liouville equation adapted for microscopic interpretation of thermodynamic systems

(Balescu, 1975)

Substitution-based agreement of this equation with Schrödinger equation (Dvořák et al., 1982)

Gabriele Veneziano

Italy

AM/ MH

String theory

(Rickles, 2014)

*Together with L. Susskind, J. Nambu and H. B. Nielsen—pioneer papers in string theory

*Heisenberg’s S-matrix represented important information for the development of string theory.