Dear Sir,
Yoga Vaashishtha is a book for intelligent learners, which explains some of the most difficult subjects through allegories. Thus, it should not be interpreted literally. For example, 'manah' does not refer to mind in all cases. It may refer to the emotions (hrdayaakhya manah) or Consciousness proper (Shwavashiyas Manah) depending upon the context.
What you have said regarding origin of numbers actually relates to development of the script to denote numbers. Numbers developed in India during remote antiquity. We have written a book on number theory in which we have discussed this in detail including why one is the first number, why two follows one, why three follows two, why four follows three, why zero comes after nine, why the number system repeats thereafter, why these numbers are called one, two, etc, etc. We have also discussed the negative numbers, irrational numbers, zero, infinity, etc. We have also explained why complex or imaginary numbers are not mathematics, but manipulations in the name of mathematics. Scientists further manipulate the distorted statement to get some accidental physical representations, which they call unreasonable effectiveness of mathematics. Our book is free for research scholars and can be obtained by writing to mbasudeba@gmail.com.
Dimension is the perception of differentiation between the internal structural space and external relational space of objects. Since we perceive through electromagnetic interaction, where the electric and magnetic fields are perpendicular to each other and both move perpendicularly, we have three mutually perpendicular dimensions. These are invariant under mutual transformation and can be resolved into 10 different combinations. Thus, the n-dimensional space is a figment of imagination. After failure to find the extra large or compact dimensions, we should not continue with this and scrap all papers dealing with fantasy.
Regarding space, we have replied against your comment in our thread.
Much has been talked about sensory perception and memory consolidation as composed of an initial set of feature filters followed by a special class of mathematical transformations which represent the sensory inputs generating interacting wave-fronts over the entire sensory cortical area - the so-called holographic processes. It can explain the almost infinite memory. Since a hologram retains the complete details at every point of its image plane, even if a small portion of it is exposed for reconstruction, we get the entire scene, though the quality may be impaired. Yet, unlike an optical hologram, the neural hologram is formed by very low frequency post-synaptic potentials providing a low information processing capacity to the neural system. Further, the distributed memory mechanisms are not recorded randomly over the entire brain matter, as there are preferred locations in the brain for each type of sensory input.
The impulses from the various sensory apparatus are carried upwards in the dorsal column or in the anterio-lateral spinothalamic tract to the thalamus, which relays it to the cerebral cortex for its perception. However, both for consolidation and retrieval of sensory information, the holographic model requires a coherent source which literally 'illuminates' the object or the object-projected sensory information. This may be a small source available at the site of sensory repository. For retrieval of the previously consolidated information, the same source again becomes necessary. Since the brain receives enormous information that is present for the whole life, such source should always be illuminating the required area in the brain where the sensory information is stored. Even in dream state, this source must be active, as here also local memory retrieval and experience takes place. This illuminating source (shuddha prakaasha maatra roopa) is the Consciousness (vigyaanam).
How do our sensory agencies function? At any moment, our sense organs are bombarded by a multitude of stimuli. But at any instant only one of them is given a clear channel to go up to the thalamus and then to the cerebral cortex, so that like photographic frames, we perceive one discrete frame at every instant, but due to the high speed of their reception, mix it up - so that it appears as continuous. Unlike the sensory agencies that are subject specific (eyes can only receive electromagnetic radiation, ears only sound, etc.); the transport system within the body functions for all types of sensory impulses. This occurs against concentration gradients with the input energy like the sodium-potassium pump in our body, which moves the two ions in opposite directions across the plasma membrane through break down of Adenosine triphosphate (ATP). Concentrations of the two ions on both sides of the cell membrane are interdependent, suggesting that the same carrier transports both ions. Similarly, the same carrier transports the external stimuli from sensory agencies to the cerebral cortex and back as a command. This carrier is the "indriyam" called mind. The existence of mind is inferred from the knowledge or lack of it about external stimuli. Only if the mind transports different external impulses to the brain for mixing and comparison with the stored data, we (Self) know about that (for the first time impulse received about something, there is no definite 'knowledge').
The brain acts like a computer. In communication technology, in addition to encryption (language phrased in terms of algorithms executed on certain computing machines - sequence of symbols), compression (quantification and reduction of complexity - grammar) and data transmission (sound, signals), there is a necessity of mixing information (mass of text, volume of intermediate data, time over which such process will be executed) related to different aspects (readings generated from different fields), with a common code (data structure - strings) to bring it to a format "it is like/ not like that". Such mixing is done through data, text, spread-sheets, pictures, voice and video. Data are discretely defined fields. What the user sees is controlled by software - a collection of computer programs. What the hardware sees is bytes and bits.
In perception, data are the response of our sensory agencies to individual external stimuli. Text is the excitation of the neural network in specific regions of the brain. Spreadsheets are the memories of earlier perception. Pictures are the inertia of motion generated in memory (thought) after a fresh impulse, linking related past experiences. Voice is the disturbance created due to the disharmony between the present thought and the stored image (this or that, yes or no). Video is the net thought that emerges out of such interaction. Software is the memory. Hardware includes the neural network. Bytes and bits are the changing interactions of the sense organs (string) with the respective fields generated by objects evolving in time.
It requires an agent to mix these signals and convert them to electro-chemical information and submit to a conscious agent (operator) to cognize and utilize them. In perception, the former tasks are done by a transitory neural activity in brain called intellect. Though, it is not directly perceptible (prakrhtilayaah), it is inferred from its actions - firing of positrons in specific areas of brain during perception. Hence even after the breath stops, a person may not be brain dead as the intellect (and not the mind) may still be functional. While mind facilitates the transport of various external impulses, the interpretation after mixing of the state of superposition of various thoughts/inputs in memory (vikalpa), is done by transitory intellect. The Conscious Self that cognizes is different from all these.
Regards,
basudeba