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tom 16(3)
275-289
EN
Quantum nonlocality is described in the context of a subjective duration that has a period of unconscious simultaneity of potentials that are reduced to an actual observably-identical mixed state of consciousness that deposits time and duration at the end of the mental state. Quantum microgenesis involves the observer as the agent of experience, which is a single continuum from depth to surface in the genesis of the mental state, repeating prior states of the individual. Microgenesis is generalized as prior becomings going back to the inception of the Universe. Synchronicity is the fundamental principle of Mind, Self, and consciousness. Mind is always One, which cannot be multiplied. Synchronicity is beyond any process of inanimate quantum nonlocality. It is outside of the physics, as Mind is based on the actualization of the mixed state of the human mind rather than the single quantum eigenstate given by the physics. Consciousness is thus a process of an irreducible and indivisible Mind in ourselves and the acausal realm of synchronicity. The mental-physical process evolves from the unconscious subjective time in the period of simultaneity, proceeding to the actuality of the mixed state of consciousness through synchronicity in its operative role as manifestation of Mind. Periods of unconscious duration and simultaneity exist as potential and only become actual at the synchronous moment of conscious observation at the end of the cyclical mental state.
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EN
In this paper, we show how to obtain causal semantics distinguishing "earlier than" and "not later than" causality between events from algebraic semantics of Petri nets. Janicki and Koutny introduced so called stratified order structures (so-structures) to describe such causal semantics. To obtain algebraic semantics, we redefine our own algebraic approach generating rewrite terms via partial operations of synchronous composition, concurrent composition and sequential composition. These terms are used to produce so-structures which define causal behavior consistent with the (operational) step semantics. For concrete Petri net classes with causal semantics derived from processes minimal so-structures obtained from rewrite terms coincide with minimal so-structures given by processes. This is demonstrated for elementary nets with inhibitor arcs.
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