Back to the basics: (Human cognition, not a general calculator)

Soumendra Nath Thakur

08-05-2024

Consider the following example: f₁ - f₁ = 5 × 10⁶ - 9009.09  

→ 0 = 5 × 10⁶ - 9009.09 (This doesn't make sense)

Therefore, f₁ = could be "either 0 or  5 × 10⁶ - 9009.09" (Human cognition can discern this)

This method represents a logical reasoning approach commonly used in mathematics to assess the validity of solutions, especially when multiple solutions are obtained. In this case, it involves eliminating the nonsensical solution and selecting the rational one.

This process is often referred to as "checking for extraneous solutions" or "validating solutions." It entails evaluating whether each solution obtained from a mathematical equation or problem satisfies the conditions or constraints of the original problem. If a solution doesn't make sense or violates any constraints, it's deemed extraneous and discarded.

In this example, it's evident that f₁ = 0  is nonsensical because it doesn't align with the problem's context. Hence, it's deduced that the rational solution is f₁ = 5 × 10⁶ - 9009.09 

This process of selecting the rational solution over the absurd one aligns with the principles of mathematical logic and this process of preferring the rational solution over the nonsensical one aligns with the principles of mathematical logic and problem-solving. It falls under the broader category of logical reasoning and solution validation.

It's a fundamental skill in mathematics to critically evaluate solutions and ensure they are meaningful and applicable to the problem at hand.

Why the equation of time dilation is flawed:

The equation for relativistic time dilation is:

Δt′ = Δt/√(1 - v²/c²)

Where Δt is the time interval observed by the stationary observer, representing proper time as indicated by a clock.

v is the relative velocity between the two observers.

c is the speed of light in a vacuum.

The term 1/√(1 - v²/c²) is denoted by the lowercase gamma (γ), known as the Lorentz factor.

The equation for time dilation is then expressed as:

Δt′ = Δt·γ

In this special relativistic equation, the Lorentz factor γ alters proper time Δt as indicated by a standardized clock, resulting in Δt′. This is an irrational operation in mathematics. Because this process selects the nonsensical solution over the rational one, where the scale of proper time Δt, as indicated by a standardized clock, is considered an unmodifiable entity due to its constancy. Therefore, any attempt to manipulate Δt with the Lorentz factor γ will lead to an error in the equation's result. Consequently, the special relativistic equation of time dilation is untenable in mathematics and is incorrect.

In this special relativistic equation, the Lorentz factor γ modifies proper time Δt as shown by a standardized clock, resulting in Δt′. This is an irrational operation in mathematics. Because, this process selects the absurd solution over a rational one, where the scale of proper time Δt, as shown by a standardized clock, is not a modifiable entity due to the fact that Δt is constant. As any attempt to operate Δt with the Lorentz factor γ will result in an error in the equation's result. Therefore the special relativistic equation of time dilation is not tenable in mathematics and is wrong.

This viewpoint prioritizes maintaining constancy and adherence to standards in the context of proper time measurements, as indicated by a standardized clock.

Indeed, the principles outlined in the statement align with established scientific interpretation rules across various disciplines, including classical mechanics, quantum mechanics, statistical mechanics, and applied mechanics. These principles emphasize the importance of maintaining consistency and adherence to standards in scientific analysis and interpretation.

Given the firmness of this viewpoint and its alignment with widely accepted scientific principles, it's understandable that alternative interpretations or theoretical scenarios may not hold significant weight. The emphasis on constancy and adherence to standards provides a robust framework for understanding time measurements, and any departures from this framework would require compelling justification and evidence.

This statement raises pertinent concerns regarding the compatibility of special relativity with other scientific disciplines and its practical applicability. It underscores the importance of coherence and consistency across scientific fields, advocating for a unified understanding of the physical universe. Additionally, the assertion that special relativity may not be necessary for many real-world applications reflects a pragmatic approach often observed in engineering, technology, and everyday life. Such skepticism encourages critical thinking and inquiry, stimulating further investigation into the foundations and implications of special relativity. By emphasizing clarity and coherence in conceptual frameworks, the statement promotes scientific rigor and epistemological integrity. Furthermore, it resonates with common-sense intuitions and everyday experiences, anchoring scientific concepts to familiar phenomena and enhancing accessibility to broader audiences. Overall, the statement contributes to a healthy dialogue within the scientific community and supports ongoing efforts to refine our understanding of the natural world.

The boundless realm of Infinity beyond countable existence:

Soumendra Nath Thakur

07-05-2024

Considering the current scientific findings, it's logical to acknowledge that existence must have a beginning.

However, this beginning may or may not have a preexistence, depending on our perception of existence.

It's also logical to understand that the meaning of existence only arises when events take place within it. An existence without events would be meaningless to us, as there would be no change, rendering time irrelevant.

Naturally, we ask: where do these eventful existences take place? A rational answer is within the space where existential events can occur.

Space provides the domain for events to happen. The occurrence of change also introduces the concept of time to our understanding. Without time, we cannot comprehend changes in events.

Up to this point, the idea of 'finite' is relevant, as we consider beginnings (as perceived by us) for existence, events, space, and time.

This understanding leads to a crucial question: where does space form alongside eventful existences and time?

This is where the notion of infinity becomes important, considering where space forms. Mathematically, there is no limit (as far as we can perceive) to where space can form and expand.

This suggests the concept of a 'nowhere' where space can form and expand infinitely, beyond countable limitations.

Therefore, the domain of nowhere, where finite space and time exist and existential events occur, is infinite.

Hence, infinity applies not to space or time individually, but to the infinite domain of nowhere, where finite space and time form and existential events occur according to our perception.

#Infinity #existence #events #space #time

Critical Reflections on Scientific Inquiry:

Soumendra Nath Thakur

05-05-2024

What I mean is, I don't always take lightly everything that is written and taught and recommended in science books. I have no god in science.

Rather, if such writings raise doubts in my mind, I prefer to use my own understanding of science to verify those writings with conventional scientific findings.

I will then publish research papers in reputed journals identifying those writing errors, providing correct solutions. They include, for example, curved spacetime and time dilation - these are irrational imaginary propagandists. These are clever disregards of classical mechanics.

Science is not political majoritarianism. Therefore, majority and popularity are not standards of exact science. What famous scientists say is mostly correct but not always correct and not free from falsehood. Science allows them to be falsified.

Is not the above statements a means of thinking and analysing science? As it separates the standard of science accurately from personal opinion, perceiving and researching and examining findings and suspicions of truth and error. It is a way to demonstrate one's reliance on the accuracy of science statements and data and to follow scientific standards. Accordingly, evaluating cited writing raises questions about accuracy and is a way to ensure it. This is an important part of scientific inquiry in general, helping to confirm the quality of one's ideas and knowledge through one's own observations. This is a common way to ensure accuracy in science by raising questions.

Is it possible for an object to travel through space without being affected by gravity if it moves at or exceeds the speed of light?

Soumendra Nath Thakur

05-05-2024

Yes, an object can travel through space without being influenced by an external gravitational field.

As per Hubble's law, the expansion of the universe causes distant galaxies to move away from us at speeds exceeding that of light.*

Gravity typically dominates over vast distances, although there are circumstances where antigravity might be stronger than gravity. Systems bound by gravity, such as galaxies or galactic clusters, can only exist within their respective spheres of gravitational influence.#

However, the object must be located in intergalactic space, beyond the zero-gravity sphere of the nearest galaxy.

Moreover, the object must possess its own gravitational field, as described by classical field theory.*# This implies that the gravitational field of object M at a point r in space can be calculated by determining the force F exerted by M on a small test mass m located at r, and then dividing by m. Ensuring that m is significantly smaller than M ensures that the presence of m has a negligible effect on the behaviour of M.

References: 

*Wikipedia contributors. Faster-than-light. Wikipedia. #A. D. Chernin et al. 2010, 2012a. *#Wikipedia contributors. Classical field theory. Wikipedia.

How is more than one channel received on the same frequency on satellites?

The process of receiving more than one channel on the same frequency on satellites involves several steps. Firstly, carrier frequency, which is the frequency of a carrier wave used for signal transmission, is modulated. Modulation can be done in various ways, such as frequency modulation (FM), amplitude modulation (AM), or phase modulation (PM). In satellite TV transmission, frequency modulation is commonly used.

Digital frequency modulation is predominant in satellite TV transmissions, where the carrier's frequency is varied based on binary data. Frequency-division multiplexing (FDM) is employed to combine multiple signals onto a single channel by assigning each signal a different frequency.

At the receiving end, demodulation is carried out to recover the transmitted data. Signals are received through a satellite dish and a low-noise block (LNB) down converter. The desired television program is then decoded for viewing.

FDM involves a demultiplexing process, where signals are modulated and transmitted over separate bands, then combined and transmitted over the channel. At the receiving end, the combined signal is demultiplexed to extract individual signals. Double-sideband suppressed-carrier transmission (DSB-SC) is used, where frequencies produced by amplitude modulation (AM) are symmetrically spaced above and below the carrier frequency, ideally suppressed, to reduce complexity in demodulation.