**Essay outside of the NMT (No-Me Teaching) series 27**

Some Ramana Maharshi quotes:

Even the knowledge sense-perceived of the world without has
for its ground the Self above. To search for knowledge somewhere else apart
from

*That*is but to grasp the shadow, not the substance.
Whatever notion may arise, never to let it live or grow, but
to turn it that very instant, firm &stern, back to its source &merge it
there, this is robust, intense detachment.

The knowledge that ignores the Self, the knower, & holds as true the field perceived, is but
illusive folly. No matter how much one has learned, true knowledge is the
merging of all indicative knowledge in awareness of the Self.

The one true light there is, is pure Awareness. Other kinds
of knowledge clinging to it & claiming to be real are ego-born conceptual
clouds. To trust them is sheer folly.

All other kinds of knowledge are base, trivial. The only
true & perfect knowledge is the
stillness of pure awareness. The many differences perceived in the Self whose
nature is awareness are wrong attributions & not real at all.

What sort of knowledge is this wretched bodily–mental
knowledge of objects ? Would those who long for pure awareness hanker after
this ? To know pure awareness is true
wisdom. All other knowledge is mere folly.

Consciousness
is the kernel of every experience. There
is no experience, whether in the form of a Thought, Feeling, or Perception, or
without form as in Deep Dreamless Sleep or between 2 thoughts, that is not of
the nature of Consciousness.

It
is from the Mind level that we talk of thoughts or their absence. We have seen that Consciousness is always
present; it is beyond Name & Form & thus from its own level, Consciousness
alone exists.

Any
observation itself requires, a fixed "Seer" to observe the changing object
or "Seen", & also a "Memory" in which to record the
observation. The flow of events recorded
as "Memory" also requires that "I" be a fixed or changeless
reference state.

From
the experience of Memory as a reference, Non-Dual betrays the underlying
position of Consciousness more directly perhaps than from any other common
experience in form.

We
remember our previous thoughts & feelings, we remember as well the thinker
who had them. f we remember our Bodies &
Minds along with the things we observed & the thoughts we had, our Bodies &
Minds must also have been witnessed by us in the same way.

__Calculus for Yogis, part 13____:__

When casting the image of a Point, the point of intersection
of the Radius line & the Circumference of the unit Circle, the image of
that Point revolving CCW counter-clock-wise from the right-most place that
would be East on a compass, or Angle 0 on the positive X-axis, we mentioned
that the shadows, sideways or vertically, would exhibit Simple Harmonic Motion,
SHM. We want to use the partial
introduction of Cosines & Sines, Derivatives & Integrals, to look at
this SHM, Simple Harmonic Motion.

**Law for Force. F, can be put in terms of Acceleration,**

^{nd}*a*which the Time Derivative of Velocity,

*v*

**:**

F =

*m a*=*m*d*v***/**d*t*
whereas Velocity,

*v*is itself the Time Derivative of Distance, Displacement**:***v*=

*d*

*v*

**/**d

*t*=

*d*

*x*

**/**d

*t*

so that putting

**Force. F, in terms of Displacement, which is the "2****order" Time Derivative of Displacement [**^{nd}*Derivative of the Derivative*]:
F =

*m a*=*m*d*v***/**d*t*=*=**m*d^{2}*x***/**d*t*^{2}
The Spring with stiffness or Constant

*k*, characteristically has a (*negative*) restoring Force. F given by:
–

*k x*= F =*m a*=*m*d^{2}*x***/**d*t*^{2}
–

*k***/***m x*=*d*^{2}*x***/**d*t*^{2}
The Exponential Function had a 1

**Derivative equal to itself, or proportional to itself if other constants were involved. But fir SHM, it is the 2**^{st}**Derivative of**^{nd}*x*that is proportional to*x*. This SHM characteristic is fulfilled then, not by the Exponential, but by a trigonometric function, Sine or Cosine. So making this substitution for F we get:*x*(

*t*) = A cos (ω

*t*+ φ) , for A – amplitude, ω – angular frequency, φ – phase shift

[

*This could be put in terms of Sine, with appropriate phase shift*φ*since Cos & Sin**have a phase shift of*π**/***2*=*90*]^{o}
To take the 1Cos
of a function. that function being,

**Derivative we use the above mentioned Chain Rule for**^{st}
d

*y***/**d*t*= (d*y***/**d*x*)*(**d**x***/**d*t*)*= [***–**A sin (ω*t*+ φ)]*[d**x*(ω*t*+ φ)**/**d*t*]
since: d cos

**/**d*t*=**–**sin & for constant ω & φ, d*x*(ω*t*+ φ)**/**d*t*= ω
d

*cos (ω**t*+ φ)**/**d*t*=**–**A sin (ω*t*+ φ) d (ω*t*+ φ)**/**d*t*=**–**A ω sin (ω*t*+ φ)
Taking the 2

**Derivative, with: d sin**^{nd}**/**d*t*= cos
d

^{2}*x***/**d*t***= d**^{2}**[A cos (ω**^{2}*t*+ φ)]**/**d*t*^{2}*= d [***–**A ω sin (ω*t*+ φ)]**/**d*t**=*

**–**A ω

**cos (ω**

^{2}*t*+ φ) =

**–**ω

^{2}*x*(

*t*)

[Incidentally, comparing to the above: –

*k***/***m x*=*– ω*^{2}*x*&*k*=*m*ω**, which describes ω**^{2}**the "natural resonance" frequency of whatever be the "harmonic oscillator", Driven by Force (**_{o}*a shove or tug of a spring instead of a stretch & just letting go*) another*transient*frequency would settle back to ω**. The forgoing describes a frictionless system. With Friction, the system slows down & stops.]**_{o}
For short swings of a weight on a nearly
"massless" String, a Pendulum, the same SHM equations apply with the
substitution for the above (

*k***/***m*) being (*g***/***l*) for*g*the acceleration of Earth-surface Gravity &*l*the*length*of the String. For a twisting Torsional Pendulum, the parallel is even closer with Spring Constant*k*becoming the Torsion Constant; & mass*m*becoming a Moment of Inertia*I*. The exact same terms extend the description to a Pendulum whose String has mass, or object suspended from a point, floating, or otherwise "rocking" object. Hence the some of the Physics of "vibes".
If we go back to: –

*k***/***m x*=*d*^{2}*x***/**d*t***describing SHM Acceleration, the 2**^{2}^{nd}
Derivative,
for Friction which depends

on Velocity, we add a 1

**Derivative with a frictional Damping Coefficient**^{st}*b*.**–**

*k x*

**–**

*b*d

*x*

**/**d

*t*=

*m*d

^{2}*x*

**/**d

*t*

^{2}*transient*frequency would settle back to ω

**. The forgoing describes a frictionless system. With Friction, the system slows down & stops.**

_{o}
[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.]

*There is no Creation, no Destruction, no Bondage, no longing to be freed from Bondage, no striving for Liberation, nor anyone who has attained Liberation. Know that this to be Ultimate Truth.*"

**–**the "no creation"

**–**

*Ajata Vada*

for very succinct summary of the teaching & practice, see:

**www.ajatavada.com/**

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