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  1. #1
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    retarded energies

    In the classical theory of the electromagnetic field (EMF) retarded energies or potentials arise from the study of varying EMF in the presence of moving electric charges. Classical derivations give the scalar retarded potential as the integral of the ratio of the electric charge density measured at the retarded time (t-R/c) over the distance R over the enclosed spherical volume of radius R. In the same token, the retarded vector potential is given by the integral of the electric current density measured at the same retarded time over R over the same enclosed volume divided by the speed of light. See Volume 2, Course of Theoretical Physics, The Classical Theory of Fields, by L. D. Landau, et al, Chapter 8, Pages 171-73, 4th revised English edition, first published by Pergamon Press in 1951.

    The term ‘retarded’ is a poor choice as often is the case in the want for more precise descriptive words using the English language among the discourses of the physical sciences. Other examples are the word ‘relative’ for something that is absolute, the word ‘work’ for path independence of kinetic energy, the word ‘power’ for measuring the usage of energy per unit of time, the word ‘phase’ for measuring angular displacement, the word ‘color’ for describing the strong nuclear charges, the word ‘plasma’ for ionized gases, the word ‘gluon’ for directional invariance, and the word ‘hole’ in black holes. The meaning of this cosmological ‘hole’ is really a dimensionless point or zero volume of space-time of infinite mass or infinite energy or infinite density or infinite temperature. For the retarded time (t-R/c), if t=0 at the start of the measurement, it appears that the time is a negative number –R/c. This is physically meaningless without a forgiving reason invoking directional properties. On the other hand, use of incomplete directional properties would still create conceptual confusions as to ‘exact opposite’ or 180°, or orthogonal 90°, or obliqueness arbitrary angles, as well as clockwise or counterclockwise rotations.
    Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: a(tr(t)=c²

  2. #2
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    Re: retarded energies

    Hello Antonio,

    An example of the potential arising from the retarded energy of water.

    This ice sculpture also portrays power, independance, kinetic energy, and angular displacement, perhaps not as you intend in your posting, yet it is a potential interpretation.




    Regards,

    Labelwench
    So many paths to the same destination,
    would, but I could, experience them all...

  3. #3
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    Re: retarded energies

    I don't know if this might give you any ideas, Antonio, but it's a post that may find a correlation: http://www.toequest.com/forum/forces...html#post96912

    (The idea also goes very well with your ice sculptor, Labelwench - in fact, very well - beautiful picture too)

  4. #4
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    Re: retarded energies

    Quote Originally Posted by labelwench
    yet it is a potential interpretation
    Just dont let it to be melted away. The hottest flame has the color of blue ice and blue diamonds were forged from the hottest region of the earth's core.
    Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: a(tr(t)=c²

  5. #5
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    Re: retarded energies

    Preliminary warning: There's just a big of brainstorming general ideas below. A mix of abstracts and details to show a possibly interesting direction to look at. Read at your own risk!

    ----------------------------------

    Originally Posted by AntonioLao
    Just dont let it to be melted away. The hottest flame has the color of blue ice and blue diamonds were forged from the hottest region of the earth's core.
    Then again, it may be beautiful in motion but it's true that the tension available in a diamond structure could do some wonders. Potential energy is a battery waiting for a little time to flow and get things moving

    Now how to focus that precisely and efficiently? Fireworks shows are fun, but we need something better than that. We need a stable mass for a good reference, or possibly even better - track chaotic motions:

    http://www.thefreelibrary.com/Achiev...put-a011886516

    And couple it synergistically as a chaotic resonance (spread spectrum) http://edoc.ypu.edu.tw:8080/paper/mi...20equation.pdf
    http://en.wikipedia.org/wiki/Spread_spectrum

    A chaotic non-linear amplifier:
    http://www.cplire.ru/win/informchaos...olta01deka.pdf

    But in terms of quantum properties across space and time:
    http://www.physorg.com/news160911231.html

    Or in the interim, we've got thermal energy everywhere - how to build an amplifier powered by chaotic thermal motions? We need a non-linearity dependent upon velocity at a minimum (delicate prescreening, via. photons, of molecular velocities and a chemical "shutter" to separate them according to velocity? i.e. if +x velocity is greater than v, then open the shutter valve? Might be fun to test out the idea mechanically using BBs - could it be done with a heavy molecular gas? Heat into cooling and propulsion?)

    Anyway, I'm just tossing out ideas - resonance, but with a different dimension of (intelligent) properties. It's complexities, not impossibilities.

    Now what do you want to do? (Keep on building that diamond until you've figured that one out)

    Flow with the motions you want to reinforce and don't bother with the rest, seeing ahead a little helps with the efficiency.

    Just another one of my ramblings ...

    Have fun. Sorry I'm not able to contribute a lot directly to your posts, but I enjoy their general flavor.

    Quote:
    Originally Posted by AntonioLao
    it appears that the time is a negative number –R/c. This is physically meaningless without a forgiving reason invoking directional properties. On the other hand, use of incomplete directional properties would still create conceptual confusions as to ‘exact opposite’ or 180°, or orthogonal 90°, or obliqueness arbitrary angles, as well as clockwise or counterclockwise rotations.

    Consciously, time appears to be multidimensional - a single experienced moment should be similar to the selection of a point within a (rather high) dimensional space, with those dimensions representing units of a common quanta (self/origin).

    A single moment should be in terms of a single experienced quantity - that quantity is then "deconstructed" into the equivalent of a mathematical form (or possibly even more than one) that describes the properties of the experience/quantity of units of time.

    I'm basically just saying that an experienced moment is similar to a number. Each of the units comprising that number can be equivalent to some consciously detected property of an experience - it's very hard to actually untie these, but they should exist - the equivalent of a complete description of a single experience in short term memory.

    There are two ways of looking at these - subjectively or objectively (of course the objective version is just a hypothesis - in the end it's all subjective, but assuming we could see what lay "out there", this is my assumption: ) each of these is an experience though we can either experience it as it is, without an additional reference, which makes it an experience without comprehension or attachment to previous memory, or we instead treat it as a quantity - a distant from some origin, in which case we effectively "mask over" its unknown objective properties and treat it as a construction of an experience from previously encountered "atomic" experiences.

    For example, this is the difference between 40 or its various equational descriptions 5*8 or 5*7+2+3 or 1+3*13 etc. A large number of forms can describe the same quantity and these are all possible interpretations of 40, but the actual conscious experience of 40 (which might be any sort of concept, feeling, sensation etc.) is masked over and not detected by this deconstruction, though the deconstruction, being determined by rules, is controllable and creates an interactive space with equivalent physical laws - it's a subjective space with properties determined by rules of constructing various quantities and that appears what we have in physics - communication by the numbers.

    Anyway, ultimately there should still remain a single timeline, though it could potentially even be a random collection - it's memory that appears the critical factor - a timeline is only recognized via. memory - memory cannot determine if it is "correct", just like a hard drive doesn't check for any consistancy of its data and no number of redundancies and democratic processes can remove this potential uncertainty - in that case it appears unavoidable that things simply "are as they are". That could be another possibly required component of a ToE - the assumption that the present state is "true" in some sense, or at least unquestionable, unless some manner to verify memory outside of memory itself was available (that wouldn't work either if you learned via. memory what might be outside it - hence it would once again be a product of memory and questionable if memory inherited an uncertainty).

    It just appears that logic and accuracy of memory, and a coherency across (a likely infinite - which would be absolutely incredible - if there exists a single infinite thing, the possibilities are mindblowing - that is the key to Everything! The question is whether such a thing must exist - time and logic imply that it does, but this logic presented here by me or any other physical representation of logic is questionable - but it appears a paradox to question logic itself because how could it say that it's incorrect?) ... if time is infinite, basically nothing else matters and all my comments are fun and games (though quite entertaining). I just can't describe the significance sufficiently, if that is true, because the possibilities are beyond anything we could imagine - notice what capabilities it would take to "count" to infinity and not simply count, but any form of construction ... in fact no matter the complexity of representation, there would always be waiting additional forms of orthogonal representations indescribable in lower dimensional spaces - and all tied together as a single unit - time.

  6. #6
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    Re: retarded energies

    Quote Originally Posted by SteveA
    There's just a big of brainstorming general ideas below.
    From my limited knowledge and experience of applied science, I can tentatively say the first part of your ideas mesh with modern nonlinear optics. This branch of applied science is responsible for the creation of high-power pulsed lasers that require resonant Q-switching such that the optical gain always exceeds the optical loss. Concerning the second part of your ideas, I agree that time is finite. Moreover, as a component of a Fourier transform pair, time can be controlled within each wave packet such that the packet itself is not allowed to deteriorate as a unit of memory.
    Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: a(tr(t)=c²

  7. #7
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    Re: retarded energies

    Quote Originally Posted by AntonioLao View Post
    From my limited knowledge and experience of applied science, I can tentatively say the first part of your ideas mesh with modern nonlinear optics. This branch of applied science is responsible for the creation of high-power pulsed lasers that require resonant Q-switching such that the optical gain always exceeds the optical loss.


    That's an interesting idea to use a resonance to construct the equivalent of an energetic reservoir that can be dynamically interacted with depending upon its amplitude.

    I was thinking of the idea in terms of thermal energy and molecules, but this could be "mapped" to broad spectrum light and optical resonances (and not unsimilar to the cochlea of the ear).

    Concerning the second part of your ideas, I agree that time is finite.


    Or finite units but with an infinite supply - a continuum can be approached by increasing their quantity (my guess is that each of these could be the equivalent of some atomic form of conscious perception - but they're not really useful in that form because there is no "self" control - just a string of incomprehensible experience, but by instead leaving them unobserved, they're similar to an energetic potential and we can treat them as quantities instead and thus construct physical properties via. quantity instead of quality, but some "seed" conscious atoms/perceptions need to exist to denote the dimensions of that space in which those quantities exist)

    There still can exist a continuum, but it doesn't appear useful except as a source of growth - infinite things aren't communicable in a finite space.

    Moreover, as a component of a Fourier transform pair, time can be controlled within each wave packet such that the packet itself is not allowed to deteriorate as a unit of memory.
    I just saw your other thread. Ok, I'll go check it out.

  8. #8
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    Re: retarded energies

    Quote Originally Posted by SteveA
    I was thinking of the idea in terms of thermal energy and molecules
    Since LASER is part of the quantum theory of blackbody radiation it is absolutely dependent on a quantum thermal theory. Gas lasers do rely on the thermal energy of molecules.
    Quote Originally Posted by SteveA
    There still can exist a continuum
    The space-time continuum remains continuous but its interactions with matter and energy can only be described by quantum theories or quantum field theories: QED and QCD.
    Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: a(tr(t)=c²

 

 

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