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Entropy Export is a concept invisibly embedded in both classical physics and #QuantumMechanics alike. When a system rotates, it creates an entropic gradient where the value is lower near the axis of rotation and higher near the periphery. This scalar unit of decreasing or increasing drives entropy-exporting mechanisms such...

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Chief Dinger ็š„ๅคดๅƒ
Chief Dinger1 ๅนดๅ‰

That connective longitudinal Z axis๐Ÿง๐Ÿ˜‰โšก๏ธ

T Jackson Dolph ็š„ๅคดๅƒ
T Jackson Dolph1 ๅนดๅ‰

Is this related to the concept where if youโ€™re a figure skater for example, and youโ€™re spinning on the ice- Pulling your arms away from your body slows you and folding them inward increases velocity?

Maurizio Iฮฒฮปแผ„ ็š„ๅคดๅƒ
Maurizio Iฮฒฮปแผ„1 ๅนดๅ‰

๐Ÿ‘Yes great example ๐Ÿ„โ€โ™€๏ธ

FRANK E ELKINS ็š„ๅคดๅƒ
FRANK E ELKINS2 ๅนดๅ‰

โ€œUnlock the secrets of reality! Discover how mathematics reveals the hidden world of complete rational abstraction โ€“Discover how Pythagorasโ€™ 'Music of the Spheres' evolves into the current scientific theory known as String Theory.โ€ (Book IV The Cosmic Symphony)

Joseph McCard ็š„ๅคดๅƒ
Joseph McCard1 ๅนดๅ‰

Dragon, This is a beautiful and rich descriptionโ€”blending physics, thermodynamics, information theory, and even neurobiology. Rotation and entropy are as expressions of consciousness. Rotation, like all motion, is an outward expression of inner consciousness, and that what youโ€™re describing as entropic gradients and heat transfer are the physical shadows or manifestations of inner action. (as I see it) Rotation is the materialized echo of inner vibrational intent. Entropy is not merely disorder, it reflects the translation of energy from one level of consciousness to another, or the restructuring of identity across experiential thresholds. When a rotating system creates an entropic gradient, it's not just a mechanical outcome, it's the expression of inner individuation within spacetime, revealing itself in patterned release and renewal. Thus entropic export as a byproduct of identity-formation. I have consistently emphasized that energy is aware of itself. So what you call "entropic export" might be seen as a necessary shedding of possibilities not chosen, in order for a singular identity or pattern to stabilize. Entropic mechanisms like heat transfer, particle flow, and even entanglement could then be understood as the outer traces of inner decision-making, or the forming of โ€œselvesโ€ at micro- and macro-scales. Energy casts off probabilities it does not adopt, but these are not lost. They are merely taken up in alternate frames of reference. Entropy, in this sense, is simply the footprint of chosen experience. Angular momentum and thermodynamics are coordinated gestures The conservation of angular momentum, staying in equilibrium unless acted upon is a kind of agreement between physical reality and its inner counterparts. It's not just a law but a rhythmic dance, reflecting the balanced feedback between inner identity and external expression. Entropy is not the price paid but the canvas upon which change is registered. Rhythm, harmony, and the medial orbitofrontal cortex (mOFC) in beautifully with my views on aesthetic recognition and biological receptivity. The human brain, especially structures like the mOFC, is tuned to recognize harmony, because that resonance is the brainโ€™s translation of energy alignment. Our pleasure in symmetry and rhythm stems from inner knowing, and that the mOFC is one place where the translation of inner pattern into outer biological form occurs. Our brain recognizes beauty not because it is trained to do so, but because it is remembering the innate symmetry from which it sprang. Rotation is a sacred act of identity-in-motion, the outer sign of inner choice. As consciousness expresses itself, it generates gradientsโ€”not of chaos, but of meaning redistributed. These gradients allow the appearance of order and disorder, but behind them lies the continual self-balancing of All That Is. Even our thermodynamic laws are the echoes of inner harmonies played through the limited instruments of spacetime. And the fact that our brains thrill at the rhythm of a spinning object is our body's way of whispering that it, too, remembers the music of creation.

Maurizio Iฮฒฮปแผ„ ็š„ๅคดๅƒ
Maurizio Iฮฒฮปแผ„1 ๅนดๅ‰

Thanks Joseph, yours is a more comprehensive overviw on the matter of rotation. Is a great addendum to the posting. I totally agree that consciousness has correlations with entropy, energy, conservation of momentum and many other physical phenomena we perceive but barely understand. I`m on the order of idea that as our horizon expands on matter of consciousness , many mysterious processes of our reality will asssume a plausible and tangible explanation. Is a precious historical moment that we're living in, a wave of intelligence is spreading like never before. Is definately worthy to ride that wave like whimsical surfers.

Lilith Datura ็š„ๅคดๅƒ
Lilith Datura1 ๅนดๅ‰

the "edges" shimmer with information ๐Ÿ’ฅ

Chief Dinger ็š„ๅคดๅƒ
Chief Dinger1 ๅนดๅ‰

๐Ÿ”ฅ๐Ÿ”ฅ๐Ÿ”ฅ๐Ÿ”ฅ๐Ÿ”ฅ

POPVLARES ็š„ๅคดๅƒ
POPVLARES1 ๅนดๅ‰

Is there a quantum mechanical analogy for classical physicโ€™s Area Moment of Inertia?

Maurizio Iฮฒฮปแผ„ ็š„ๅคดๅƒ
Maurizio Iฮฒฮปแผ„1 ๅนดๅ‰

Although QM doesnโ€™t contemplate a state of inertia like classical physics in which thereโ€™s an absolute absence of motion. In QM bc of the zero point energy principle, particles and quanta of energy are in a constant fluctuation. But in more specific cases the quantum persistence explains these circumstances, and can be considered the analogous of inertia, where a precarious quantum state remains longer in the presence of external perturbations (like noise disturbances during entanglement).

Florian KEPLER ็š„ๅคดๅƒ
Florian KEPLER1 ๅนดๅ‰

La Thรฉorie des Cordes c'est phรฉnomรฉnal !

็›ธๅ…ณ่ง†้ข‘

In the Andante movement of Mozart's Piano Concerto No. 21, the "beauty" doesn't lie in a single note, nor in a single expressive moment. It stems from how the entire musical material is organized as a continuous process of tension and resolution, where each event is both the result of what has happened and the condition for what will come next. On the surface, listeners are easily captivated by the softness of the melody, the dialogue between the piano and the orchestra, or the subtle harmonic nuances. However, this is only the phenomenal level. The deeper level lies not in "what the music is," but in "the principles by which the music operates to create the sense of inevitable movement." In Mozart's thinking, no note exists independently. Each sound always carries the aftershock of the previous note and simultaneously creates a tendency towards the next note. It is this continuous movement between tension and release that makes music no longer a series of disconnected events, but a logical flow of movement, where every detail has a reason for existing within the whole. The tension-release mechanism in life Importantly, this mechanism is not unique to music, but reflects a broader structure in human experience. In social relationships, conflict creates an imbalance between people; the process of understanding and adjustment helps restore the stability of the relationship. In biology, the body reacts to threat with a state of tension, and returns to equilibrium when the threat is removed. In psychology, the state of expectation creates mild tension, and completion brings a feeling of relief. At every level, the same pattern can be seen: an unstable state is moved towards a stable state. However, it is important not to understand music as a โ€œsimulation of life,โ€ but rather that both music and life can be described by the same principle of organizing experience. Music: where mechanism is refined into structure In classical music, especially in Mozart's compositional thinking, the tension-release mechanism is transformed into a clearly structured language. An unstable note creates a tendency toward a stable note. A chromatic movement creates a sense of deviance from the center. An appoggiatura creates a sense of delay. A modulation to a minor key expands the instability of the entire structure. All these elements do not exist in isolation, but are organized into multi-layered tension-release cycles: microscopic in each note, mesoscopic in each phrase, and macroscopic in the entire structure of the musical movement. The key point is: Mozart did not use these mechanisms to create surprise effects, but to create the feeling that every movement is inherently necessary. This is what creates the seamless and natural flow of the music. Therefore, the beauty in Andante does not lie in a single element, nor in a single compositional technique, but in the tension-release mechanism being organized into a unified system throughout multiple levels of musical structure. At the detailed level, it is present in the relationship between notes and harmonic movement. At the intermediate level, it shapes the structure of each musical phrase. At the overall level, it governs the entire progression of the movement as a unified moving whole. Mozart did not create beauty by eliminating tension, but by organizing unstable states so that they continuously facilitate, guide, and transform into more stable states, thereby forming a dynamic balance throughout the entire musical structure. When these three levels operate simultaneously, the listener no longer perceives "artificiality," but experiences a seemingly natural and continuous flow of movement. It is in this state that the deepest aesthetic value is formed: a sense of a tight, consistent, and inevitable internal order within the sonic timeline.

๐ŸŽผ๐ŸŒบMusic Loveโ™ฅ๏ธ

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When several metronomes are placed on a common movable surface, each begins with its own rhythm. There is no coordinating signal, no external clock, and no instruction for order. Yet their motion converges. The oscillators settle into a shared rhythm that none of them possessed individually. This behavior is not an anomaly but an expression of a general principle: weakly coupled oscillatory systems tend toward phase organization. The phenomenon is known as phase locking, and it appears wherever interacting cyclic processes are allowed to exchange even minimal influence. Its mathematical description was formalized by Kuramoto in the context of chemical oscillations, but the underlying idea is far older: collective order can arise without centralized control. What matters in such systems is not perfect synchrony. More commonly, the system settles into a state of partial synchronization, in which the components maintain a stable phase offset rather than coinciding exactly. The oscillators are neither independent nor identical. They are locked, but imperfectly so. Crucially, such phase-locked states are often metastable. They represent preferred configurations of the system, yet they are separated from large excursions by a finite stability barrier. As long as fluctuations remain small, the system remains confined near its equilibrium phase. But random perturbations, accumulating over time, may eventually push it beyond that barrier. When this occurs, the loss of phase stability is abrupt. The system does not drift gradually into failure; it escapes. This mode of failure is probabilistic rather than deterministic. It is governed by the statistics of noise rather than by intrinsic periodicity. In physical terms, it corresponds to Kramers escape: the thermally or stochastically activated crossing of a potential barrier. Waiting times are irregular, clustering is common, and long intervals of apparent calm coexist with sudden bursts of activity. The relevance of this framework becomes apparent when one turns to the geomagnetic field. [1/3]

Craig Stone

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โ€“ #ENTROPY โ€“ Mew : The theme of this song is space. It tells the story of ENTROPY, one of the fundamental concepts in thermodynamics. There is a theory called "Heat Death (of the Universe)", which is the idea that all heat energy in the universe eventually fades away, meaning that the universe ultimately reaches its end. Mew : ๐Ÿ˜‚ It feels like a physics class right now. Put simply, if we know that the universe will come to an end one day, would we still choose to maintain our relationships with the people beside us, knowing that everything will eventually come to an end anyway? Mew : The meaning is very deep and far-reaching. I'd like everyone to stay tuned and see how it's conveyed through the song. Mew : I both wrote and composed the song myself. ๐Ÿ—ฃ๏ธ: What part of the universe were you in when you wrote these lyrics? Mew : I felt drawn to the idea that every relationship eventually reaches an end, no matter what kind of relationship it is. Whether it's parting ways or finally being separated by death, it's still an ending. But if we already know that ending is coming, what will our relationship be like from now until that moment arrives? I wanted the concept of "the end" to feel incredibly vast, so I thought of the universe. Then I looked into theories about the collapse of the universe and incorporated those ideas into this song. ๐Ÿ—ฃ๏ธ: Was it difficult? Even hearing the concept makes me feel like I need to take notes. Mew : I feel like this is really about life. It's about parting ways. I wanted to interpret separation in a way that creates a clear image, both in terms of relationships and within a space theme. Iโ€™d like everyone to give it a listen.

๐Ÿ’ž

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