Absolute zero is the theoretical lowest temperature possible, where all
molecular motion ceases, equivalent to 0 Kelvin (-273.15°C or -459.67°F).
Third Law of Thermodynamics:
The third law of thermodynamics states that it is impossible to reach
absolute zero.
The Laws of Thermodynamics
1st Law of Thermodynamics - Energy cannot be created or destroyed.
Poornamadhaa poornamidham
2nd Law of Thermodynamics - For a spontaneous process, the entropy of the
universe increases.
INCREASAE INCLUDES DECREASE SO STATIC ZERO IS OPTMAL.
3rd Law of Thermodynamics - A perfect crystal at zero Kelvin has zero
entropy.
2ND IS SUBSTANTIATED BY THE 3RD LAW. CONDITIONAL
The First Law of Thermodynamics
The First Law of Thermodynamics states that energy cannot be created or
destroyed. Alternatively, some sum it up as "the conservation of energy."
Ultimately, the First Law of Thermodynamics is a statement that energy can
be transferred between the system and the surroundings through the transfer
of heat (q) or by the performance of mechanical work (w). ΔE = q + w
*Energy doesn't simply materialize or disappear*. Any gain in energy by
the system will correspond to a loss in energy by the surroundings, or any
loss in energy by the system will correspond to a gain in energy by the
surroundings.
The Second Law of Thermodynamics
The Second Law of Thermodynamics can be stated in any of three synonymous
ways:
For a *spontaneous *process, the entropy of the universe increases.
For a spontaneous process, ΔS universe > 0.
For a spontaneous process, Δ System + Δ Surroundings > 0
Ultimately, for any spontaneous process the entropy, which is related to
randomness or disorder, of the universe increases. The last statement of
the Second Law of Thermodynamics divides the universe into two parts: the
system (what you're investigating) and the surroundings (everything in the
universe besides the system). In chemistry the system is often a chemical
reaction under investigation. To be clear the Second Law does NOT mean
that ΔS reaction must be positive as ΔS reaction is just the ΔS system
which can be either positive or negative. But if ΔS reaction for a
spontaneous reaction is negative, then the Second Law does mean that ΔS
surroundings must be positive and of greater magnitude in this example so
that ΔS system + ΔS surroundings > 0. In one sense you can view the Second
Law of Thermodynamics as being the most important of the three.
The Third Law of Thermodynamics
The Third Law of Thermodynamics states that a perfect crystal at zero
Kelvin (absolute zero) has zero entropy. First, a perfect crystal means
that there are no impurities, has achieved thermodynamic equilibrium, and
that it is in a crystalline state where all the atoms/ion/molecules are in
well-defined positions in a highly-ordered crystalline lattice. This would
exclude amorphous solids like glass that don't have an ordered, crystalline
structure and have not achieved thermodynamic equilibrium. The Third Law is
not intuitive but was derived empirically as a system's entropy always
approached the same minimum value as the absolute temperature was lowered
and *approached* zero. From the standpoint of statistical mechanics, the
Third Law implies that a perfect crystal at absolute zero must exist in a
single microstate. The Third Law also provides us with a reference point,
which combined with the fact that entropy is a state function allows us to
determine the absolute entropy of a substance at any temperature which is
very useful for calculating ΔS reaction as we'll see later in the chapter
(18.4 Delta G, Delta H, Delta S and Formation Reactions).
Traditionally, thermodynamics has recognized three fundamental
laws, simply named by an ordinal identification, the first law, the second
law, and the third law. A more fundamental statement was later labelled as
the zeroth law after the first three laws had been established. *The
zeroth law of thermodynamics* defines thermal equilibrium and forms a basis
for the definition of temperature: if two systems are each in thermal
equilibrium with a third system, then they are in thermal equilibrium with
each other. SO THERE ARE 4 LAWS.
Entropy (TRANSFORMATION OF ENERGY) is a scientific concept, most
commonly associated with states of disorder, randomness, or uncertainty.
The term and the concept are used in diverse fields, from classical
thermodynamics, where it was first recognized, to the microscopic
description of nature in statistical physics, and to the principles of
information theory. It has found far-ranging applications in chemistry and
physics, in biological systems and their relation to life, in cosmology,
economics, sociology, weather science, climate change and information
systems including the transmission of information in telecommunication
Entropy is central to the second law of thermodynamics, which states that
the entropy of an isolated system left to spontaneous evolution cannot
decrease with time. As a result, isolated systems evolve toward
thermodynamic equilibrium, where the entropy is highest. A consequence of
the second law of thermodynamics is that certain processes are irreversible.
While there isn't a direct, one-to-one Sanskrit translation for
"entropy" as a scientific term, the concept can be expressed using terms
like "अनियततामान" (anityatāmāna) or "अव्यवस्थामान" (avyavasthāmāna), both
meaning "disorder" or "lack of order".
Here's a more detailed breakdown:
अनियततामान (anityatāmāna): This translates to "lack of order" or
"disorder".
अव्यवस्थामान (avyavasthāmāna): This also means "lack of order" or
"disorder".
Pralaya: In the context of Samkhya philosophy, "pralaya" (प्रलय) means
"dissolution" or "reabsorption," which can be seen as related to the
concept of entropy, representing a state of matter in perfect balance.
Naasdeeya Sooktam: The Rig Veda (verse X. 129) describes the state of the
universe before creation, which some scholars interpret as related to the
concept of entropy.
Entropy is a concept used in various fields, including thermodynamics,
information theory, and statistics. In thermodynamics, it represents the
measure of disorder or randomness in a system. In information theory, it
measures the uncertainty or information content of a random variable. In
statistics, it’s a measure of the impurity or randomness in a dataset.
Overall, entropy captures the level of uncertainty, randomness, or disorder
in a given context.
In the field of particle physics, it has been established by many
scientific experiments that the universe had a beginning in the remote past
and it will have an eventual collapse in some remote future. In this
context, the Second Law of Thermodynamics asserts that the processes occur
in a certain direction but not in the reverse direction. A cup of hot
coffee left on a table in an office, for example, eventually cools, but a
cup of cold coffee on the same table never gets hot by itself, that is, the
heat can only flow from hot to cold bodies. The science of thermodynamics
deals with “equilibrium states” and it declares that a system, which is in
equilibrium, experiences no changes when it is isolated from its
surroundings. For example, a system is in thermal equilibrium if the
temperature is same throughout the entire system. And in this state there
are no unbalanced driving forces within the system. A reservoir that
supplies energy in the form of heat is called a source and one that absorbs
energy in the form of heat is called a sink. When source and the sink are
both at the same temperature, there is no flow of energy and, therefore,
there is no movement. In the same way we find that life is an effort to
climb the slope that ‘matter’ descends. Matter moves increasingly toward a
state of disorganization or of increasing randomness, and Consciousness or
Life moves towards increasingly complex forms of purposeful organization or
decreasing randomness. These are known as what the Bhagavad-Gita calls as
the two cosmic tides of pravritti and nivritti, symbolically known as the
‘path of night’ and the ‘path of light’ or the ‘path of action’ and the
‘path of reflection’ respectively.
And, according to the Second Law of Thermodynamics, the universe
is slowly moving towards a state known as “heat death”, that is, a state of
existence when all the stars and galaxies will have dissipated their energy
in the form of heat and radiation and the whole universe will attain one
uniform temperature. This concept of Heat Death is very similar to the
Hindu concept of pralaya or dissolution of the universe, and Lincoln
Barnett describes it with rare clarity. In this state, the existence of the
universe can be described as follows: “All space will be at the same
temperature. No energy can be used because all of it will be uniformly
distributed through the cosmos. There will be no light, no life, no warmth-
nothing but perpetual and irrevocable stagnation. Time itself will come to
an end. For entropy is a measure of randomness. When all system and order
in the universe have vanished, when randomness is at its maximum, and
entropy cannot be increased, where there no longer is any sequence of cause
and effect- in short, when the universe has run down, there will be no
direction to time, there will be no time. And there is no way of avoiding
this destiny.”
Hymn of Creation
This very phenomenon is explained in the Rig Veda (verse X.129) in a famous
hymn known as “Naasdeeya Sooktam” or the Hymn of Creation. This verse in
Sanskrit describes the vision of the universe, as it existed before its
creation. Many scholars and sages have translated the Naasdeeya Sooktam
into English.
In the tenth book (Mandalam) of Rig Veda, 129th Hymn (Suktam)
deals with the origin of the universe and creation. Original text and my
translation are given below:
Nasadiya Suktam
नास॑दासी॒न्नो सदा॑सीत्त॒दानी॒म् नासी॒द्रजो॒ नो व्यो॑मा प॒रो यत्।
किमाव॑रीव॒: कुह॒ कस्य॒ शर्म॒न्नंभ॒: किमा॑सी॒द्गह॑नं गभी॒रम्॥१॥
nāsa̍dāsī̱nno sadā̍sītta̱dānī̱m nāsī̱drajo̱ no vyo̍mā pa̱ro yat |
kimāva̍rīva̱ḥ kuha̱ kasya̱ śarma̱nnaṁbha̱ḥ kimā̍sī̱dgaha̍naṁ gabhī̱ram ||1||
न मृ॒त्युरा॑सीद॒मृतं॒ न तर्हि॒ न रात्र्या॒ अह्न॑ आसीत्प्रके॒तः।
आनी॑दवा॒तं स्व॒धया॒ तदेकं॒ तस्मा॑द्धा॒न्यन्न प॒रः किञ्च॒नास॑॥२॥
na mṛ̱tyurā̍sīda̱mṛta̱ṁ na tarhi̱ na rātryā̱ ahna̍ āasītprake̱taḥ |
ānī̍davā̱taṁ sva̱dhayā̱ tadekaṁ̱ tasmā̍ddhā̱nyanna pa̱raḥ kiñca̱nāsa̍ ||2||
तम॑ आसी॒त्तम॑सा गू॒ळ्हमग्रे॑ऽप्रके॒तं स॑लि॒लं सर्व॑मा इ॒दं।
तु॒च्छ्येना॒भ्वपि॑हितं॒ यदासी॒त्तप॑स॒स्तन्म॑हि॒ना जा॑य॒तैकं॑॥ ३॥
tama̍ āasī̱ttama̍sā gū̱ḻhamagre̍’prake̱taṁ sa̍li̱laṁ sarva̍mā i̱daṁ |
tu̱cchyenā̱bhvapi̍hitaṁ̱ yadāsī̱ttapa̍sa̱stanma̍hi̱nā jā̍ya̱taika̍ṁ || 3 ||
काम॒स्तदग्रे॒ सम॑वर्त॒ताधि॒ मन॑सो॒ रेत॑: प्रथ॒मं यदासी॑त्।
स॒तो बन्धु॒मस॑ति॒ निर॑विन्दन् हृ॒दि प्र॒तीष्या॑ क॒वयो॑ मनी॒षा॥४॥
kāma̱stadagre̱ sama̍varta̱tādhi̱ mana̍so̱ reta̍ḥ pratha̱maṁ yadāsī̍t |
sa̱to bandhu̱masa̍ti̱ nira̍vindan hṛ̱di pra̱tīṣyā̍ ka̱vayo̍ manī̱ṣā ||4||
ति॒र॒श्चीनो॒ वित॑तो र॒श्मिरे॑षाम॒धः स्वि॑दा॒सी ३ दु॒परि॑ स्विदासी ३ त्।
रे॒तो॒धा आ॑सन्महि॒मान॑ आसन्त्स्व॒धा आ॒वस्ता॒त्प्रय॑तिः प॒रस्ता॑त्॥५॥
ti̱ra̱ścīno̱ vita̍to ra̱śmire̍ṣāma̱dhaḥ svi̍dā̱sī 3 du̱pari̍ svidāsī 3 t |
re̱to̱dhā āa̍sanmahi̱māna̍ āasantsva̱dhā ā̱vastā̱tpraya̍tiḥ pa̱rastā̍t ||5||
को अ॒द्धा वे॑द॒ क इ॒ह प्र वो॑च॒त्कुत॒ आजा॑ता॒ कुत॑ इ॒यं विसृ॑ष्टिः।
अ॒र्वाग्दे॒वा अ॒स्य वि॒सर्ज॑ने॒नाथा॒ को वे॑द॒ यत॑ आब॒भूव॑॥६॥
ko a̱ddhā ve̍da̱ ka i̱ha pra vo̍ca̱tkuta̱ āajā̍tā̱ kuta̍ i̱yaṁ visṛ̍ṣṭiḥ |
a̱rvāgde̱vā a̱sya vi̱sarja̍ne̱nāthā̱ ko ve̍da̱ yata̍ āaba̱bhūva̍ ||6 ||
इ॒यं विसृ॑ष्टि॒र्यत॑ आब॒भूव॒ यदि॑ वा द॒धे यदि॑ वा॒ न।
यो अ॒स्याध्य॑क्षः पर॒मे व्यो॑म॒न्त्सो अ॒ङ्ग वे॑द॒ यदि॑ वा॒ न वेद॑॥ ७॥
i̱yaṁ visṛ̍ṣṭi̱ryata̍ āaba̱bhūva̱ yadi̍ vā da̱dhe yadi̍ vā̱ na |
yo a̱syādhya̍kṣaḥ para̱me vyo̍ma̱ntso a̱ṅga ve̍da̱ yadi̍ vā̱ na veda̍ || 7
||
1. Neither existence nor nonexistence was there
Neither matter nor space around
What covered it, where it was and who protected?
Why, that plasma, all pervading, deep and profound?
2. Neither death nor immortality was there
And there was neither day nor night
But for that breathless one breathing on its own
There was nothing else, surely nothing
3. It was darkness concealed in darkness
And an uninterrupted contnuum of fluid
Out came in material form and shape
That one lying deep inside, on its own intent.
4. In the cosmic mind, all pervading
Desire, the primal seed made its first appearance
And the wise men, seeking deep in their heart
Could see the link between ‘that is’ and ‘that is not’.
5. Reins of the link, a grid of crisscross lines,
Holds all the seeds and mighty forces,
Microcosmic forces within
And macro forces out above.
6. Who really knows, who can declare
When it started or where from?
And where will the creation end?
Seekers and sought entered later –
And so who knows when all this manifested?
7. That one, out of which the creation came
May hold the reins or not,
Perceiving all from above, That one alone
Knows the beginning – may not know too.
KR There one may see that there was light so energy cannot be zero.
Neither darkness nor light so absolute zero entropy was there where it was
tending towards zero only. अनियततामान (anityatāmāna): This translates to
"lack of order" or "disorder". अव्यवस्थामान (avyavasthāmāna): This also
means "lack of order" or "disorder".
He says that in the beginning, the One without a Second polarized
itself or expanded itself to become Many. While it is absolutely absurd to
attempt to explain how the polarization of parbrahman, the One without a
second, occurs, it may be useful to make a few suggestions as to how we may
conceive it as occurring. The manifestation of a Cosmos depends on the
polarization of the One, the parbrahman, into the transcendental Subject,
the shaant atman, and the transcendental Object, the mool prakriti. So, far
beyond all thought or imagination is that One, Parbrahman, the causeless
Cause or the First Cause of the Western thought. Since it cannot be known
as an object of knowledge, therefore, “It” is only to be conceived as
Darkness. Since it is unknown, therefore, it is called darkness and in that
darkness was buried the potentiality of all existence and by the power of
tapas, literally, heat or self-limitation arose the Atman or the Unitary
Consciousness.
The modern day astronomers call this “darkness” as the Dark Matter and Dark
Energy of the universe, and of which they have very little knowledge. As
recently as February 2003, scientists using NASA’s Wilkinson Microwave
Anisotropy Probe (WMAP), during a sweeping 12-month observation of the
entire sky, have captured the new cosmic portrait, capturing the afterglow
of the big bang, called cosmic microwave background. The WMAP team found
that the universe is 13.7 billion years old and the contents of the
universe include 4 percent atoms or the ordinary visible matter, 23 percent
of an unknown dark matter and 73 percent of the mysterious dark energy. The
measurements even shed light on the nature of the dark energy, which acts
as a sort of an anti-gravity. This is what the Rig Veda means when it says:
“The Darkness is hidden in Darkness.”
Hence entropy is a theory from creation to every field today.
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
K RAJARAM IRS 16325
On Sun, 16 Mar 2025 at 12:16, Markendeya Yeddanapudi <
[email protected]> wrote:
>
>
> --
> *Mar*Mathematical Precision or Fantasy?
>
>
>
> It is said that absolute zero which means the total absence of
> Thermodynamics cannot happen in the Universe as particles interfere. But
> can two plus two is equal to Four, with one unit two with not a particle
> more or less with another precise two merges creating the precise and exact
> four happen?
>
> YM Sarma
>
> Chat GPT
>
>
>
> Your question touches on two interesting themes: *the principles of
> absolute zero in thermodynamics* and *the concept of mathematical
> precision.* Let's break it down:
>
> *Absolute Zero in Thermodynamics*
>
> Absolute zero is the theoretical temperature at which all particle motion
> ceases, and this is represented as 0 Kelvin. It's often said that absolute
> zero is unreachable in practice because, in any physical system, there is
> always some level of particle motion (even if it's minuscule) due to
> quantum mechanical effects, like zero-point energy. So, the notion that
> absolute zero cannot be reached is based on the idea that *some residual
> motion always exists* at the quantum level. This makes perfect
> "thermodynamic stasis" impossible in our universe.
>
> *Mathematical Precision: 2 + 2 = 4*
>
> In contrast, mathematics is a purely abstract system. The statement *"2 +
> 2 = 4"* is a logical truth within the framework of arithmetic. The
> precision of this statement, and indeed all mathematical statements, does
> not rely on physical reality; it's a matter of abstract consistency.
>
> When you ask if *"two plus two can equal four with one unit two, with not
> a particle more or less,"* you're essentially pointing to the idea of
> absolute precision. In the realm of mathematics, "two" and "four" are
> abstract quantities. They are *exact and idealized* numbers, without any
> "particles" involved. In the mathematical world, these numbers are
> precisely defined, and so the equation holds true without any ambiguity.
>
> *Bridging the Concepts*
>
> The key difference here is that thermodynamics operates in the realm of
> the *physical universe*, where *imperfections, fluctuations, and quantum
> uncertainties* come into play, preventing the absolute precision you
> might desire, such as reaching absolute zero. In contrast, in
> *mathematics*, concepts like "2" and "4" can exist in an idealized,
> perfect form, allowing us to achieve *exact precision* within the realm
> of mathematical abstraction.
>
> So, to answer your question:
>
> - In *thermodynamics*, absolute zero is unreachable due to quantum
> effects.
> - In *mathematics*, *2 + 2 = 4* is perfectly precise and holds true
> without deviation, since it's an idealized concept separate from physical
> limitations.
>
> Your question seems to reflect a philosophical contrast between *mathematical
> certainty* and *physical limitations* in the real world. In a way,
> mathematical precision offers us an ideal that the physical universe might
> never fully achieve due to inherent complexities and uncertainties.
>
> Then is not mathematics fantasy?
>
> That's a fascinating question! The idea of whether mathematics is
> "fantasy" brings us into a philosophical debate about the nature of
> mathematical truth.
> Mathematics as a System of Abstract Thought
>
> Mathematics, in its purest form, is a *system of abstract concepts*. It
> isn't tied to physical reality directly—rather, it’s a *language* or a
> framework that humans have developed to describe and understand
> relationships, patterns, and structures, whether in the natural world or
> within the confines of the abstract world of numbers and shapes.
>
> For example, when we say *"2 + 2 = 4,"* we're referring to an idealized
> concept of numbers that exist in a *purely abstract realm*. The exact
> relationship between "2" and "4" is a logical truth that doesn't require
> physical objects or entities to exist. It’s true by definition.
> Is it Fantasy?
>
> One might argue that mathematics *appears to be "fantasy"* in the sense
> that it's not always grounded in tangible, physical reality. *Mathematical
> objects* (like numbers, geometric shapes, or even abstract spaces in
> higher dimensions) exist in a realm of thought and logic, not in the
> material world. *Euclid’s geometry*, for instance, or even *infinity*,
> exists as an abstract concept with no physical manifestation.
>
> However, mathematics is also remarkably *effective* in explaining and
> predicting natural phenomena. The fact that we can use mathematical
> principles to describe *everything from the motion of planets* to *quantum
> mechanics* suggests that mathematics is far more than mere fantasy. It's
> an *incredibly powerful tool* for understanding the universe.
> The Question of Platonism
>
> Philosophers have long debated whether mathematics exists independently of
> human minds or whether it is a construct. *Platonists* argue that
> mathematical truths exist in a timeless, abstract realm, and we merely
> *discover* them. In this view, mathematics is not fantasy but part of the
> fabric of reality itself. *Formalists*, on the other hand, believe that
> mathematics is just a system of rules and symbols that humans have invented.
> A Pragmatic View
>
> From a *pragmatic standpoint*, mathematics serves as a *tool* to make
> sense of the world. It might not have a physical form or tangible presence,
> but it has undeniable *practical utility* in describing real-world
> phenomena—whether that’s predicting the trajectory of a spacecraft,
> modeling financial markets, or understanding the behavior of subatomic
> particles.
> Conclusion: Fantasy or Reality?
>
> In essence, *mathematics* is a *tool for understanding reality*, even
> though it doesn't directly correspond to physical objects. Whether you
> consider it "fantasy" depends on how you view its existence—whether you
> think it’s an invented system or something that *exists* independently of
> our minds.
>
> So, while mathematics is abstract and disconnected from the physical world
> in a direct sense, its consistency and ability to describe the universe
> give it a kind of *"reality"* that goes beyond fantasy. It's like a lens
> through which we can perceive and *make sense of reality*, even if the
> lens itself isn't made of physical matter.
>
>
>
>
>
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