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A COMPLEX NUMBER NOTATION OF NATURE OF TIME: AN ANCIENT INDIAN INSIGHT

Varanasi Ramabrahmam

Published Jan 1, 2013• 0 citations
OpenAlex

Abstract

The nature of time is perceived by intellectuals variedly. An attempt is made in this paper to reconcile such varied views in the light of the Upanishads and related Indian spiritual and philosophical texts. The complex analysis of modern mathematics is used to represent the nature and presentation physical and psychological times so differentiated. Also the relation between time and energy is probed using uncertainty relations, forms of energy and phases of matter. Key words: classical time; quantum time; cosmic time; qualitative and quantitative times; missing of time; scalar and vector natures of time; special theory of relativity; general theory of relativity; complex time; real and imaginary dimensions of physical time; biological time; time in conscious awareness; past, present and future in physical and psychological times.

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The nature of time is perceived by intellectuals variedly. An attempt is made in this paper to reconcile such varied views in the light of the Upanishads and related Indian spiritual and philosophical texts. The complex analysis of modern mathematics is used to represent the nature and presentation physical and psychological times so differentiated. Also the relation between time and energy is probed using uncertainty relations, forms of energy and phases of matter. Key words: classical time; quantum time; cosmic time; qualitative and quantitative times; missing of time; scalar and vector natures of time; special theory of relativity; general theory of relativity; complex time; real and imaginary dimensions of physical time; biological time; time in conscious awareness; past, present and future in physical and psychological times.
What is 'the nature of reality’? This thought has occupied the minds of scientists and philosophers since time immemorial. This issue is examined scientifically, that, how the views of scientists and western philosophers have undergone a dramatic change over a period of time. This may then answer whether spacetime is a reality of nature or if it is just a figment of our imagination in which to view this cosmos! The article begins with the thoughts of Democritus, and the other Greek philosophers, continuing with the ideas of Copernicus, Galileo and Kepler. With the thoughts of Bacon, Descartes and Isaac Newton, the rise of the ‘mechanical world view’ later the decline of this view is discussed when the phenomenon in optics, electricity and magnetism could not be explained. Then the concept of ‘field’ was evolved, culminating in ‘Maxwell’s equations of electromagnetic fields’.The beginning of twentieth century saw the evolution of the concepts of ‘relativity’, by Einstein, and the birth of ‘quantum theory’, starting with the idea of ‘quanta’, originated by Planck in 1900. The first three decades of the 20th century saw great breakthroughs in the world of theoretical physics - totally new ideas on ‘the nature of reality’ were being conceived. Large numbers of fundamental particles were discovered in the ensuing years. However, not much progress indeed was made in answering some of the most fundamental questions about the existence of human life and the nature of reality. Some interesting ideas on ‘biocentrism’ have now evolved. Biocentrism, along with the ideas of quantum theory and the concept of consciousness, may answer some of the intricate questions about the nature of reality; these will be discussed at length. These concepts will then be viewed from the perspective of Indic thoughts. The ‘Vedic’ and ‘Upanishadic’ knowledge from Indian scriptures may probably answer even more clearly some of the most intriguing questions about the existence of life and the ‘nature of reality’ itself.Beginning of twentieth century saw the evolution of the concepts of ‘Relativity’, by Einstein, and the birth of ‘Quantum Theory’, starting with the idea of ‘Quanta’, originated by Planck in 1900. The first three decades of 20th century saw the great breakthroughs in the world of theoretical physics. Absolutely new ideas on ‘The Nature of Reality’ were being conceived. Large number of fundamental particles was discovered in the ensuing years. But not much progress indeed took place in answering some of the most fundamental questions on existence of human life and the nature of reality. Some interesting ideas on ‘Biocentrism’ have now evolved. Biocentrism along with the ideas of Quantum Theory and the concept of Consciousness may answer some of the intricate questions on nature of reality; these will be discussed at length. These concepts will then be viewed from perspective of Indic thoughts. The ‘Vedic’ and ‘Upanishadic’ knowledge from Indian scriptures may probably answer even more clearly some of the most intriguing questions on the existence of life and the ‘Nature of Reality’ itself.
The limitations and unsuitability of the twentieth century intellectual marvel, the quantum mechanics for the task of unraveling working of human consciousness is critically analyzed. The inbuilt traits of the probabilistic, approximate and imprecise nature of quantum mechanical approach are brought out. The limitations and the unsuitability of using such knowledge for the understanding of precise, correct, finite and definite happenings of activities relating to human consciousness and mind, which are not quantum in nature, are pointed out. Analytical methods interpreting philosophical and Indian spiritual analyses suiting the unraveling of working of human consciousness and mind over the deductive approach of quantum physics and advanced mathematics are highlighted. A model of human consciousness and mental functions is presented taking ideas from the Upanishads and related texts. Comparisons with theological interpretations of Upanishadic insight are dealt with to have an idea of working of human consciousness and mind in relation to spirituality.
Abstract This study extends the complex-time framework introduced in Part I, where time was formulated as an intrinsic complex coordinate . Within this framework, the imaginary unit is reconsidered not as an algebraic symbol but as an operator of indeterminacy, representing the undetermined future phase of physical existence.The real component corresponds to the determined past. Temporal evolution is thus interpreted as a continuous projection through which potential states become actualized. Building upon this model, we propose a unified interpretation of measurement, entropy, entanglement, and nonlocality. Measurement may be viewed as a temporal projection fixing latent existence from the imaginary phase into the real domain; entropy growth corresponds to the cumulative conversion of undetermined futures into fixed pasts, giving rise to the arrow of time. Quantum indeterminacy is reinterpreted as the openness of the future, while entanglement appears as a form of temporal coherence connecting events through a shared phase structure. When correlations become fully realized, the internal -phase vanishes and the relation attains , implying a null-temporal state beyond spacetime separation. At the macroscopic level, matter with rest mass can be regarded as a dense network of such microscopic fixations. Each quantum interaction functions as a micro-instance of temporal fixation, producing the statistical rhythm perceived as continuous time. This interpretation suggests that reality may evolve through a self-referential process in which the universe continuously projects its potential phase into realized history—a dynamic structure of physical reality emerging from complex-time geometry. Running Title: Complex-Time Structure and Physical Reality Keywords: Complex Time; Temporal Projection; Quantum Measurement; Quantum Entanglement; Decoherence; Entropy; Information Dissipation; Physical Reality
An enquiry into the physical nature of time and space and into the ontology of quantum mechanics from a metageometric perspective, resulting from the belief that geometric thought and language are powerless to farther understanding of these issues, restricting instead physical progress. The nature and assumptions of quantum gravity are analysed critically, including misgivings about the relevance of the Planck scale to it and its lack of observational referent in the natural world. The anthropic foundations of geometry are investigated. The exclusive use of geometric thought from antiquity to present-day physics is found to permeate all new attempts towards better theories, including quantum gravity and, within it, even pregeometry. The problem of the ether is found to have perpetuated itself up to the present by transmuting its form from mechanical, through metric, to geometric. A clarification is made of the physical, mathematical, and psychological foundations of relativity and quantum theories. The former is founded geometrically on measurement-based clock-reading separations ds. The latter is founded metageometrically on the experiment-based concepts of premeasurement and transition things, inspired in the physically unexplored aspect of time as a consciousness-related product. A concept of metageometric time is developed and coordinate time t is recovered from it. Discovery of the connection between quantum-mechanical metageometric time elements and general-relativistic clock time elements ds is deemed necessary for a combined understanding of time. Time is conjectured to be the missing link between general relativity and quantum mechanics.
Abstract This paper develops a unified theoretical framework in which time is formulated as an intrinsic complex-phase rotation eiθeiθ within an imaginary extension of spacetime.In this formulation, the imaginary unit ii is not a mere mathematical symbol but the operator of indeterminacy, representing the undetermined future phase of physical existence, while the real component corresponds to the determined and fixed past.Temporal continuity arises from this internal oscillation, and both the light limit (v=cv=c) and the rest limit (v=0v=0) emerge as degenerate boundaries of the same rotation. This Complex-Time Geometry (CTG) provides a geometric basis that links quantum mechanics, relativity, and thermodynamics under a single structure.The flow of time is interpreted as a continuous projection Im(ψ)→Re(ψ),Im(ψ)→Re(ψ), transforming potentiality into actuality.Within this framework, entropy increase corresponds to the progressive fixation of imaginary freedom, and the arrow of time naturally arises as the geometric direction of realification.Measurement is redefined as a temporal projection from the imaginary to the real domain, resolving the conceptual gap between quantum indeterminacy and classical determinacy. The theory further interprets Schrödinger’s iℏ∂ψ∂t=H^ψiℏ∂t∂ψ=H^ψ as the mathematical manifestation of orthogonal evolution in complex time, where ii ensures reversible continuity.Ultimately, time is not an external parameter but the internal oscillation of existence itself—the mechanism through which the universe continuously writes its own history. Keywords complex-time geometry; temporal projection; quantum measurement; relativity; entropy; arrow of time; ontology of time; self-recording universe
Clocks are systems for measuring frequency, velocity, duration and numerical order ntttt.......,, 210 of physical events. Time t obtained with clocks is not a forth dimension 4X of space, time t is only a component of tciX ∗∗=4. This view of clock/time as a measuring system sees physical phenomena running exclusively in space and not in time. This view is supported with several experiments which confirm that time t of physical event can be zero. Time is not part of space; time is run of clocks in space. Past, present and future exist as a psychological time in the mind only not in the universe. We experience motion i.e. change in the space through the frame of psychological time. We “project ” linear psychological time “past-present-future ” into the space, however it is not there. Observer who distinguishes between space-time, physical time and psychological time is aware that in quantum measurement he only measures physical events in space and not in time. Clock/time is merely a measuring device. With this understanding observer’s observation, measurement and experience of quantum phenomena are closer to their real nature. Stream of numerical order of quantum phenomena ntttt.......,, 210 runs in space only and not in time. Stream of quantum phenomena has no duration on its own. Duration is result of measurement.