Abstract

   

Aim
Axiomatic properties
Basic properties
Simple properties
Complex order
Monocomplex properties
Bicomplex properties
Supercomplex properties
Metacomplex phenomenality & phenomena
General conclusions

  • Aim
    During this logic thought study it was investigated:
    (1) Whether or not complex knowledge differs fundamentally from simple knowledge.
    (2) How complex knowledge may emerge from axiomatic, basic, simple and less complex knowledge.
    (3) Whether or not human language is appropriate to describe nature’s inherent complexity ade-quately.
    (4) How modern science can be made suitable for the investigation and solution of genuinely complex problems (see also: hypotheses).
  • Axiomatic properties
    - Energetic quantum pulsation is assumed to be the reductionistic, and nature or cosmos the in-ductionistic first principle of human knowledge (see: first principles).
    - Quantum pulsation is thought to yield four different, but interdependent axioms, namely quantum attraction, quantum repulsion, actual quantum fluctuation and former and future virtual quan-tum fluctuation (see: axiomatic properties).
  • Basic properties
    - Quantum attraction is supposed to underlie all substantial or material, quantum repulsion all entro-pic or thermal, actual quantum fluctuation all spatial and virtual quantum fluctuation all temporal ba-sic properties (see: basic properties & physical correlations//basic properties/1-4).
    - Space and time are supposed to be mental concepts which denote, respectively, phenomenal actual or parallel, and virtual or serial ordering. Space and time are thought to be united inextricably in space-time by coincidence of their spatial positions and temporal directions in the form of spatio-temporal vectors (see: spacetime/ properties & ...//dimensions).
  • Simple properties
    - Simple order or 'simplicity' denotes the order, behavior or outcome of any system governed by two different, but interdependent variables (see: simple order).
    - Synthesis of two basic properties is supposed to induce six sets of seven simple energetic, spatio-temporal, structural, functional, chemical and electromagnetic properties (see: simple properties & physical correlations//simple properties (5-46)).
    - Energy (mT) is supposed to be a simple thermomaterial property which equals, absolutely, the product of absolute mass (m) and absolute temperature (T) and, relatively, that of relative mass (δm/∆T) and relative temperature (δT/∆m) (see: energy//basic properties & ...//abs. equation, and physical correlations//energy (11)).
    - Spacetime (l3t3) is supposed to be a simple spatiotemporal property which is quantified absolutely by the product of space volume (l3) and time volume (t3), and, relatively, by that of 3D,3d-speed (δl3/∆t3) and 3d,3D-travel time (δt3/∆l3) (see: spacetime//simple properties & ...//equations, and physical correlations// spacetime (18)).
  • Complex order
    - Complex order or 'complexity' is considered to be a fundamental characteristic of any system gov-erned by three or more different, but interdependent variables (see: complex order).
    - Complex behavior is supposed to be characterized by a probabilistic arrangement of fairly well predictable pseudo-regular or pseudo-simple events and usually badly predictable adaptive pseudo-chance events (see: complex behavior).
    - Complexity-based physical probability (0<P<1) is supposed to be inherent to complex systems and to differ principally from methodological error-based statistical probability (0<p<1) (see: predict-ability/complex).
    - The degree of complexity of a complex polyfactorial system is thought to depend qualitatively on the number and nature of the different, but interdependent properties and/or phenomena involved (see: degree of complexity).
    - The predictability of complex behavior is thought to depend on its degree of complexity, knowledge of its actual state, i.e. initial situation, and the time-interval between actual state and former or future virtual states to be predicted (see: predictability/complex).
  • Monocomplex properties
    - Synthesis of three different, but interdependent basic properties is thought to induce four ternary mono-complex properties, namely coherence, course, particle and process, and synthesis of four basic properties four asymmetric quaternary, namely gravitation, wave- or string, actual state and former and future virtual states, and four symmetric quaternary monocomplex properties, namely (self-)appearance, (self-)organization and (self-)variation (see: monocomplex properties & physical correlation table//monocomplex properties (47-57)).
    - Phenomenal (self-)appearance is supposed to be a complex property which equals the product of energy and spacetime. If maximal speed equals the speed of light (c), the proposed equation of (self-)appearance includes, 'mc', Einstein's famous 'mc2' as well as 'mc3', of which 'mc' is thought to denote the linear (1D) unidirectional (1d), 'mc2' the superficial or 'curved' (2D) bidirectional (2d), and 'mc3' the total, i.e. former, actual as well as future spherical (3D) any directional (3d) spatiotemporal manifestation of phenomenal absolute mass (see: see: energy//... & spacetime//equations, and appearance//rel. equation/if c).
    - Phenomenal gravitation is supposed to be a complex property which is quantified absolutely by absolute mass (m) relative to absolute temperature (T), space volume (l3) and time volume (t3), and, relatively, by the integral of phenomenal relative mass, structural density and chemical con-version rate (see: gravitation//definition & ...//rel. equation).
    - Phenomenal wave- or string-like character is supposed to be a complex property which is quan-tified, absolutely, by absolute temperature (T) relative to absolute mass (m), time volume (t3) and space volume (l3), and, relatively, by the integral of phenomenal relative temperature, functional intensity, frequency inclusive, and electromagnetic charge (see: string//definition & ...//rel. equation).
    -  Phenomenal wave- or string-like and particle-like character are not supposed to be related directly, namely by absolute or relative property sharing, but indirectly by being fully complementary to each other (see: string//particle/complementarity).
  • Bicomplex properties
    - Synthesis of two different, but interdependent monocomplex properties is thought to induce three bicomplex properties, namely energetic eventuality, i.e. coherence-course-duality, plastic eventu-ality, i.e. particle-process-duality, gravistring, i.e. gravitation-string-duality, and physical state, i.e. actual state-virtual state-duality (see: bicomplex properties & physical correlations// bicomplex prop-erties (58-61)).
    - For example, monocomplex gravitation and wave- or string-like character are thought to underlie phenomenal bicomplex gravistring-like character simply by sharing its energetic properties mutually, and, complexly, by having different sets of simple properties in common with phenomenal spatial coherence and temporal course (see: gravistring//definition & ...//rel. equation).
  • Supercomplex properties
    - Synthesis of bicomplex energetic and plastic eventuality is thought to yield supercomplex general event-like character, synthesis of gravistring and physical state to yield radiation, and synthesis of (self-)appearance, (self-)organization and (self-)variation to yield (self-)adaptability (see: supercom-plex properties & physical correlations//supercomplex properties (62-64)).
    - Phenomenal (self-)adaptability, i.e. the ability to adapt integrally to intrinsic or spontaneous, and extrinsic or environmental energetic (ex)changes, is supposed to be underlain supercomplexly by phe-nomenal monocomplex (self-)appearance, (self-)organization as well as (self-)variation (see: adapt-ability//definition & ...//rel. equation).
  • Metacomplex phenomenality & phenomena
    - Nature's phenomenal character or phenomenality is supposed to be a metacomplex property which is characterized by an integral set of four axiomatic, sixteen basic, forty-two simple, eleven mono-complex, four bicomplex and three supercomplex properties, and thought to be typical of any real phenomenon (see: phenomenality & physical correlations//phenomenality (65)).
    - It is suggested that any single energetic quantum implies a complete set of phenomenal properties, and is, therefore, event-like, radiative as well as (self-)adaptive (see: complex phenomena).
    - Progressive synthesis of three or more metacomplex phenomena is thought to induce an infinite number of increasingly complex phenomena (see: complex phenomena & degree of complexity).
  • General conclusions
    (1) Modern science is based on linear(izable) logic and, as a result of that, capable to solve simple binary problems, but unable to solve complex multifactorial problems (see also: hypotheses).
    (2) Energy is supposed to be a simple generalizing property which equals, as such, mass times temperature, but appears in spacetime in a differentiated complex way (see: energy & appearance). If the case indeed, energy equals the product of mass and temperature (E = mT) while its appearance in spacetime equals (mT)((l3/t3)(t'3/l'3) or, if c, (mT)(c3c'-3), which includes, amongst others, Einstein's 'mc2' (see: energy//... & appearance//equations).
    (3) Complex order is considered to be an intrinsic property of any system governed by three or more separate but interdependent axiomatic, basic, simple or complex variables of whatever kind (see: complex order). 
    (4) Complex behavior can be described as a partially predictable probabilistic (0<P<1) alternation of fairly well predictable pseudo-regular or pseudo-simple events and poorly predictable pseudo-chaotic adaptive chance events (see: complex behavior & predictability).
    (5) Complexity-based physical relative (un)certainty, i.e. probability (0<P<1) or significance (P<?), is believed to be inherent to complex systems and to differ, for that reason, fundamentally from methodological error-based statistical probability (0<p<1) or significance (p<0.05) (see: complex pre-dictability).
    (6) The predictability of complex behavior is assumed to depend on the number and nature of the variables involved, knowledge of the actual state or initial situation and time interval between actual state and past or future virtual states to be predicted (see: degree of complexity & complex predict-ability).
    (7) Reduction of complex knowledge is believed to reduce and, finally, eliminate phenomenal intrinsic complexity, while synthesis of axiomatic, basis, simple and/or complex knowledge is thought to induce increasingly complex knowledge (see: method & complex science).
    (8) Human language is considered to be a complex phenomenon itself and therefore prone to de-scribe nature's inherent complexity adequately (see: complex order & complex behavior).
    (9) The equation PH (phenomenon) = (mT)(l3t3) may lie at the reductionistic basis of a complex theory of everything (see: phenomenon/equations).
    (10) In order to investigate nature's complex behavior properly modern science has to be extended with complex logic and a complex scientific method which is applicable to physical as well as life sciences (see: complex science).

©Memes Ltd. 2011