12th May 2021 (about 3 years 9 months ago)
A Summary:
The relationship between frequency and energy (E) is defined by Planck's equation E=hν, while Einstein's theory of special relativity relates mass to energy (E) through E=mc². Thus, combining these equations, we find that mass (m) is linked to frequency. Since f = c/λ or c = λf, where (c) is a universal constant, this relation holds true where light exists; however, in its absence, the universal constant (c) becomes irrelevant. This raises the question: what happens to energy (E), frequency, and wavelength (λ) in such a scenario?
Through established physics equations, such as Einstein's theory of special relativity (E=mc²) and Planck's equation (E=hν), we see that mass (m) and energy (E) are intricately related to frequency. Yet, without light, the role of the universal constant (c) diminishes. λ = v/f, with velocity (v) at the speed of light (c), and f= c/λ. When v = 3 x 10^10 cm/s, and considering the maximum frequency of visible light (f) = 7.5*10^14 Hz, with its corresponding wavelength (λ) = 400 nm, and velocity v = c = 3 x 10^10 cm/s. Similarly, for Gamma-rays with the maximum frequency (f) = 10^24 Hz, and its wavelength (λ) = <10^-12 m (i.e., <0.01 nanometres), also with velocity (v) = 3 x 10^10 cm/s.
Einstein's theory of special relativity dictates the absolute speed limit for wave travel, equivalent to the speed of light (c), which is 3 x 10^10 cm/s. However, when the frequency (f) of any wave reaches infinity (∞), its wavelength must be zero, i.e., λ = 0. A singularity, where gravity approaches infinity, results in the cessation of space and time, rendering the current laws of physics inapplicable. Such a singularity is considered a point form with no dimensions. This raises questions about how a no-dimensional singularity interacts within three-dimensional space (e.g., black hole).
Moreover, in the absence of events, time, and light, a simple mathematical representation of energy (E) becomes challenging, as energy likely transforms into another form, behaving like vibration, as suggested by Planck's equation where energy (E) is related to frequency.
Time (t), an abstract concept representing the ongoing progression of existence and events, is increasingly being understood in terms of space. Thus, for time to exist, both existence and events are essential, as without events, there would be no real meaning to time. In the absence of time, equations like Planck's equation and Einstein's theory of special relativity cease to apply.
Space, too, would cease to exist without events, time, and light. The abstract nature of mathematics suggests that energy (E), as per Planck's equation E=hν, might persist as a very high vibration frequency, even without events, time, space, and light. In such a singularity, where gravity approaches infinity and space-time ceases, known physics laws no longer hold, yet we can conceptualize this through mathematical abstraction.
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