Far from revealing Truth, words only darken & conceal It.
To let the Truth shine of itself instead of burying it in words; merge in
the heart both word & thought.
Never through argument, but only by abiding in the heart as pure awareness which lights up & shines within the Mind, can one enjoy the thrill, the throb, the Bliss Supreme of being the Self.
Even like a Dream this Waking World is but a Mind-conceived appearance in mind space. Hence greatness lies in firmly ending indicative knowledge & the folly of fondness for outer objects.
Knowledge is manifold, say they who know objects, but not Freedom from the dire delusion of differences. When the Senses 5, driven outward by desire are pulled back, then true, full Awareness comes, & there is no “other” to be known.
As in the Sky with thick clouds covered no eye can see the glorious Sun, one fails to see one's own Self when the Mind Firmament is darkened by a dense cloud of thoughts.
The Sage’s pure Mind which beholds as a mere Witness the whole World is like a mirror which reflects the foolish thoughts of those who come before him. And these thoughts are then mistaken to be his.
The learned man who, letting go the Self, the real Being, sees & cherishes this Dream, this false, illusive World, may be a scholar. Something different is he who has gained the clarity of Knowing the Self; he is a Knower.
Holding in their hands the mirror, the Scripture which declares “The Self alone is to be known”, many alas, study with care the text & commentaries; only few seek the Self & gain true life.
Based on the Teachings of a great Sage:
Never through argument, but only by abiding in the heart as pure awareness which lights up & shines within the Mind, can one enjoy the thrill, the throb, the Bliss Supreme of being the Self.
Even like a Dream this Waking World is but a Mind-conceived appearance in mind space. Hence greatness lies in firmly ending indicative knowledge & the folly of fondness for outer objects.
Knowledge is manifold, say they who know objects, but not Freedom from the dire delusion of differences. When the Senses 5, driven outward by desire are pulled back, then true, full Awareness comes, & there is no “other” to be known.
As in the Sky with thick clouds covered no eye can see the glorious Sun, one fails to see one's own Self when the Mind Firmament is darkened by a dense cloud of thoughts.
The Sage’s pure Mind which beholds as a mere Witness the whole World is like a mirror which reflects the foolish thoughts of those who come before him. And these thoughts are then mistaken to be his.
The learned man who, letting go the Self, the real Being, sees & cherishes this Dream, this false, illusive World, may be a scholar. Something different is he who has gained the clarity of Knowing the Self; he is a Knower.
Holding in their hands the mirror, the Scripture which declares “The Self alone is to be known”, many alas, study with care the text & commentaries; only few seek the Self & gain true life.
Based on the Teachings of a great Sage:
At
the time of the actual experience, there was no such notion, there was Consciousness
alone. There is really no such thing as a physical object & the World is in
fact purely mental. Thus the World is nothing but Consciousness. Let every object of experience be a pointer to
Consciousness. Thoughts & feelings; they also bear witness to the presence
of Consciousness. Both the Seeing &
the Object proclaim the Presence of Consciousness.
The
Mind cannot be fixed on 2 things at once, in other words there is only one
thought at a time. What we remember is
previous thoughts, that is to say, we have a thought now that concerns the Past
or Future. But can we say that a past
thought exists unless we now think of it ? So what proof have we have that we ever had a previous
thought, or that we shall ever have one in the Future ?
Returning to Friction–Damping
of HM Harmonic Motion, with Acceleration's 2nd
Derivative & Friction's Velocity–dependent 1st
Derivative (with a frictional Damping Coefficient b):
– k x =
– b d x/ d t = m d2 x/
d t2
we re-arrange into the Equation of Motion 2nd-order DE:
m d2 x/
d t2 + b d x/
d t
+ k x = 0
Instead of a simple Trigonometric wave solution, such must
be Negative Exponentially Friction damped
as:
x (t)
= A e–(b/2m)t cos (ω t
– α) for phase angle α
For ωo, the un-damped
"natural resonance" frequency, the slowing damped oscillation
frequency starts lower acceding to:
ωo2 – ω2 = (b/2m)2
Among various amounts of Driving Force, F. that which largely "cancels" out the Friction is
loosely considered a "resonance" but is more properly a
"steady-state" Fo such that:
(ωo2 – ω2)2 + (ωb/m)2
= (Fo /A m)2
Actual "waves" have their Time & Space
behavior related to wave velocity in terms of 2nd-order Derivatives (for simplicity, suppressing PDE notation):
d2 y/
d t2 = v2 d2 y/ d x2
where for example it can be
that: y = A sin ω (x/v
– t)
The average energy Eave
of a "harmonic oscillator" in Classical Statistical Physics os given
as kT
for k being Boltzmann's Constant. But Max Planck's "quantized harmonic
oscillator" is that given by:
In Quantum Wave Mechanics, the Radius Vector r replaces Displacement, & the
wave-function y(t) gives way to the
complex-valued Wave Amplitude: Ψ(r,t) ; & Energy
values are generated by the Hamiltonian operator H for the Schrödinger Wave Equation:
i h d
Ψ(r,t) / d t = H Ψ(r,t)
[The above themes & 1600 pages more are freely available as perused or downloaded PDF’s, the sole occupants of a Public Microsoft Skydrive “Public Folder” accessible through:
or with Caps-sensitive:
Duplicates have been available on:
jstiga.wordpress.com/
[But from now on, they will be different & still usually daily.]
for very succinct summary of the teaching & practice, see: www.ajatavada.com/
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