Hypothesis for Further Investigation: The Implications of a Modified Planck's Equation with Inclusion of c²

 

Abstract:

The iconic Planck's equation (E = hv) elegantly relates the energy (E) of a photon to its frequency (v) through Planck's constant (h). While this equation has served as a cornerstone of modern physics, introducing the speed of light squared (c²) as a multiplicative factor (E = hvc²) presents a potentially groundbreaking avenue for further investigation. This hypothesis delves into the physical consequences and theoretical implications of such a modified Planck's equation, paving the way for intriguing possibilities in diverse fields like quantum gravity, dark matter, and black hole physics.

1. Motivation:

Including c² in Planck's equation raises intriguing questions about the nature of light and its interaction with spacetime. This modification resonates with existing ideas in special and general relativity, where c² represents the conversion factor between mass and energy and the curvature of spacetime due to gravitation, respectively.

2. Potential Consequences:

• Modified Photon Energy and Mass: The proposed equation suggests a dependence of photon energy on c², implying a potential non-zero rest mass for photons. While current evidence contradicts this, it warrants further theoretical exploration in the context of quantum gravity, where spacetime fluctuations might endow photons with virtual mass.

• Spacetime Coupling and Dark Matter: The inclusion of c² could indicate a deeper coupling between light and spacetime. This interaction might manifest in the form of exotic particles or fields that contribute to the observed effects of dark matter. This hypothesis could lead to novel approaches for dark matter detection and understanding.

• Black Hole Thermodynamics and Information Paradox: Black hole thermodynamics posits an upper limit on the entropy a black hole can radiate. Incorporating c² in Planck's equation might alter this limit and offer insights into the black hole information paradox, potentially suggesting solutions for preserving information during Hawking radiation.

3. Experimental and Theoretical Verification:

• High-energy photon experiments: Testing the hypothesis would require high-precision measurements of photon energy and momentum at extreme energy scales. Deviations from standard Planck's equation could provide evidence for the modified form.

• Development of a unified quantum gravity theory: Integrating the modified Planck's equation into a consistent quantum gravity framework would be crucial for validating the hypothesis and its implications. This would involve reconciling quantum mechanics with general relativity, a long-standing challenge in theoretical physics.

4. Conclusion:

Introducing c² into Planck's equation offers a thought-provoking hypothesis with potentially transformative implications across various fields of physics. While experimental and theoretical verification remain significant challenges, the pursuit of this hypothesis could lead to groundbreaking discoveries about the nature of light, spacetime, and the universe's deepest mysteries.

Note: This hypothesis is highly speculative and requires further rigorous investigation. It should not be interpreted as a definitive statement on the validity of including c² in Planck's equation. The aim is to encourage further research and exploration of this intriguing possibility.

Disclaimer: Google's Artifical Intelligence has been used to generate this paper using all the information available to it in its model.

The Relative Speed of Light and the Influence of Gravity: A Hypothesis for Further Investigation

 

Abstract: The widely accepted notion of light's constant speed (c) throughout the universe has been a cornerstone of physics since Einstein's theories of relativity. However, this hypothesis relies heavily on measurements conducted within the gravity-influenced environment of our solar system. This paper proposes a theoretical framework suggesting that light's speed might not be absolute, but rather relative to the gravitational potential it experiences. This hypothesis challenges the current paradigm and warrants further investigation through experimentation and theoretical refinement.

1. Introduction:

The speed of light (c) is often referred to as a universal constant, a cornerstone of our understanding of the universe. However, this notion relies primarily on measurements conducted within our solar system, which is inherently subject to the influence of the sun's gravity.

2. The Influence of Gravity on Spacetime:

General relativity posits that gravity is not a force, but rather a curvature of spacetime caused by mass and energy. This curvature affects the paths of all objects moving within its influence, including light. Consequently, the speed of light might be influenced by the strength of the gravitational potential it experiences.

3. Hypothesis:

We propose that the speed of light is not a universal constant, but rather a variable dependent on the gravitational potential it encounters. In regions with stronger gravity, light's speed might decrease compared to its value in weaker gravitational fields, such as interstellar space. This hypothesis proposes a scenario where c = c(φ), where c is the speed of light and φ is the gravitational potential.

4. Supporting Arguments:

• Gravitational lensing: The observed bending of light by massive objects like galaxies suggests that gravity interacts with light, potentially affecting its speed.

• Gravitational redshift: The observed redshift of light emitted from objects in strong gravitational fields could be explained by a decrease in the speed of light relative to the observer.

• Black holes and the event horizon: The escape velocity at the event horizon of a black hole is c. If light's speed were not affected by gravity, even photons would not be able to escape.

5. Consequences and Implications:

If the hypothesis is true, it would have profound implications for our understanding of the universe:

• Cosmological models: Current cosmological models rely on a constant c. A variable speed of light would necessitate revisions to understand expansion, dark energy, and the cosmic microwave background radiation.

• Black hole physics: The behavior of black holes and the event horizon would need to be re-evaluated in the context of a non-constant c.

• Gravitational wave propagation: The speed of gravitational waves might also be tied to the local gravitational potential, with implications for gravitational wave detection and interpretation.

6. Conclusion:

The hypothesis of a relative speed of light, while currently speculative, warrants further investigation. New experiments and theoretical frameworks could shed light on this fundamental question. Exploring the possibility of a variable c would not only challenge our current understanding of gravity and light, but also open doors to new avenues in cosmology, black hole physics, and the nature of spacetime itself.

Note: This paper is intended to be a starting point for discussion and further research. It acknowledges the limitations of our current understanding and emphasizes the need for rigorous experimentation and theoretical refinement. It is not a definitive proof of a variable speed of light, but rather a call to explore the possibility and its potential consequences for our understanding of the universe.

Disclaimer: The hypothesis presented here is currently not widely accepted in the scientific community. More research and evidence are needed to substantiate its validity (e.g. measuring speed of light in the same conditions as we currently have measured it within our solar system/galaxy). This paper is intended as a thought experiment to stimulate further discussion and investigation. Moreover, Google's Artifical Intelligence has been used to generate this paper using all the information available to it in its model.

Switching to the NBN - Fibre To The Node (FTTN) - what you want to know that no one seems to tell you

I'm on ADSL2+ and receive a flyer in the mail saying NBN is available in your area. So I pop on over to the NBN website, put in m address details and sure enough it says im ready to choose a provider. But I have a few questions first:

• What is FTTN?
• Can I use my existing modem?
• Which provider should I choose?
• What plan should I choose?
• Will my existing home phone still work?

I hunted around for these answers and while i'm sure the exist, it was difficult to find. There is plenty of links which explain FTTN and NBN Co does a pretty good job of explaining it so ill leave it to them for the defnition, but essentally its VDSL technology which has been around for quite some time. 

If its been around for some time will my existing modem work you might ask, well if your existing modem/router is VDSL compatible then there is a good chance it will. I would recommend looking up the specifications of your modem and finding out what VDSL protocols it supports. My trusty old Fritzbox 7390 said it supported ITU G993.2 but i wasnt sure if that was enough. Various ISP's I was considering using listed their modems provided so after looking up their specifications they listed a range of protocols so who knows if it would work. Also most ISPs provide limited assistance when it comes to modems which are not provided by them. As it turns out NBN FTTN uses/supports VDSL2 17a G.Vector (ITU G.933.5) as per the below screenshot. It may support other VDSL2 protocols but this is what worked for me.

Obviously the above information was after I chose an NBN plan, I ended up going with my existing provider for simplicity and they had a good offer on at the time though whistleout and whirlpool always seem to have good broadband information. I'd suggest checking there if you are considering switching providers. Though to choose a different provider you will probably need to know what you are shopping for.

Given the techie that I am, before switching I did some analysis on my existing ADSL2 connection. As per the below screenshot you can see I was getting ~19.2mbit/s down and ~1mbit/s up on ADSL2+ which all things considering is pretty good! Most standard NBN FTTN plans are around 25mbits down and 5mbits up so I would be hoping the NBN would cost about the same if the speeds are similar. Turns out I signed up for a 25mbits down / 4mbits up for the same price. So a bit faster on the uplink which helps for snappiness and so far making the switch.

I did some research on my existing monthy usage from my ISP portal and worked out I was using just on average somewhere between 100 - 200GB per month. I ended up going for a similar unlimited plan since i thought my data usage my increase on the NBN but so far it has remained about the same. Perhaps if I chose a faster speed my usage might have gone up, but will my existing line support a faster speed? How fast of a plan could I go?

A couple of points, firstly when switching from ADSL, dont forget to take out all of the line filters you might be using! And secondly like me if you have oldschool yellow 2 pair cabling through your house its very likely to affect your reliability and throughput. Initially I was experiencing regular errors/timeouts on my connection which turned out to be the old cabling (tested it straight from the incoming street connection) and had an attainable throughput of about 50mbit/20mbit.

After switching out with cat 6 cabling (about a 25m run) I had an attainable throughput of about 100mbit down / 50 mbit up. Given this is the case it wouldnt be worth signing up for any plans above this speed but atleast I know my current speed limits! Also no more dropouts :)

So lastly would my existing phone work? Most plans give you the free option of a land line. Given I had an old analog one on the kitchen wall it was probably easier to try and make it work rather than patching the hole, so I signed up for a free land line.

These lines generally use a SIP VOIP connection which your ISP can provide settings for. My Fritzbox supported 2 analog lines and using the old yellow 2 pair wiring with some basic configuration I was able to setup my old existing analog phone to work with VOIP.

Hopefully this post has given you some more information I wasn't able to find before making the NBN switch - and might extend the life of your old modem.

Making an Automatic Sliding Gate

Sliding gates can be quite useful for closing in your yard. In my case a garage door would have cost about the same however limited the usable space. After looking around many places offer prefabricated gates however they seemed a bit more expensive or you would have to pick up the whole gate once it has been made. Given my gate was 4.5 meters wide and 1.5 meters high, I would have had to likely hire a truck and drive a fair distance. Not to mention the gate would have been custom made since i couldnt find anyone who reasonably flat packed that size. Though this may be a viable option for yourself if you want to save on time, effort and to get the desired finish.

After some research I thought i may be able to pull this off. As a general handy kind of person but not too much experience in cutting, welding and general construction - it seemed like a reasonable project to try and tackle.

PLANNING

These are the guides (Jackal Fencing | EasyGate | BMGI | AutomaticGateSolutions ) I read which were very handy on the do's and dont's for sliding gate consutruction and installation. Its recommended to have a read if you're looking to make a start. It definitely helped in preparing for what would be required for the construction and installation.

CONSTRUCTION

After measuring up the following was aquired to make the frame and support posts from a local metal supplier. I found Scott's Metals quite handy for finding metal products and prices for estimation. Atleast when you go into your local supplier you vaguely sound like you know what you're talking about.

1. 100x100x2 SHS Galvanised steel (2x2.2m)
2. 50x50x2 - SHS Galvanised steel (1x4.5 and 2x1.58m)
3. 100x50x2 RHS Galvanised steel (1 x  4.5m)
4. 25x25x3 angle - (2 x 4.4m)

The slats came down to a choice of Merbau decking or hardwood fence. The total coverage including spacing was 6.732m2. I gave the hardwood fence a go and just sanded it back and clear varnished it. I figure i can always swap them out in the future if i dont like how it weathers. Another consideration was aluminium slats.

Gate weight was also important to calculate since it would provide the specifications for the solar motor and other weight calulations. Not to mention how to maneuver it into place.

Wood:
23kg/m2 x 6.732 (1.53 x 4.4) = 154.836kg

Steel:
50 x 50 x 2mm (2x1530, 1 x 4500)= 2.93kg/m = 22.1508kgs
100 x 50 x 2mm (1 x 4500) = 4.50kg/m = 20.25kgs
25 x 25 x 3mm (4400) = 1.89kg/m = 8.316kgs

TOTAL = 205.5528 kgs

Etch primer and black spray paint was used to finsh the frame and support posts. The primer was just applied using a roller brush. I considered powercoating the whole thing however i would have needed to transport it to and from.

For the Solar Gate Opener I used the weight and gate dimentions to work out a suitable unit. I managed to pick one up as a complete kit which seemed to work well. What i liked about this unit (apart from everything came together) was that it supported inputs of 24v DC/AC and 240v. This meant I could run additional low voltage power without the need of an electrican via a trench if the battery system didnt work as well as I wanted. Its been working perfectly for the last few months so fingers crossed.

Next I just needed a roller kit which allows the gate to slide manually across a track. Only issue with the one I ordered was it didnt come with enough track fasteners which I ordered separately from tigerlink.

Before moving the gate frame into place I had to put down a footing. This was after I cemented the 100x100 posts into place. For the specifications I just used what was in the guides posted above. Trench mesh or reinforcing steel helps with cracking and ensures the track stays straight. I made a conduit hole in the footing for where the additional power to the motor could be run in the event i needed it.

      

A rough sequence of construction was as follows:

1. measure up everything
2. dig footing and post holes
3. cement posts into place
4. complete track footing
5. weld up gate
6. attach rollers to gate
7. paint gate
8. prepare wooden slats (pre-drill screw holes, sand and varnish)

INSTALLATION

Once all the construction was finished the gate was installed in the following order. See guides for more detailed information to do some of these steps.

1. attach track to footing and drive way
2. move frame into place
3. attach support rollers, catch and stoppers
4. install solar kit and motor 
5. adjust gear tracks accordingly
6. attach limit switch striker plates
7. screw slats to frame

The footing and sliding track was a bit tricky during installation since the drive way has a bit of a hump in the middle. I ended up having to cut into the driveway and had the track on a slight slope. While there is no issue with this the trick was keeping the slope straight so that when the gate is sliding it doesnt touch at any point. This is covered a bit more in the lessons learnt section.

The automatic motor needed a support frame to get it to the desired height. This frame was dynabolted into the concrete footing

A good tip is to ensure that the gate moves freely without having the motor move it before you program the electronics. Once the motor is fixed to the ground you can adjust the gear tracks to the right height/position and manually release the motor so it has good connectivity between the tracks and the teeth for the whole time it is moving. Surprisingly this didnt not need to be as perfect as I thought it may to get it working well however the better you get it the less likely it will have issues in the future. 

A video of the final product in full swing can be found here :)

COST

Roller Gate Kit - $253
Steel: $240
Paint: $5
Additionally (counter sunk, respirator) = $10
Primer $29
Rio $10
Solar gate opener $360
Hardwood fence pailings (44) $88
1L varnish and 200 gal 22mm screws $60
26 x Sliding Gate Track Fasteners Zipfix 40mm x 6mm $16.80

TOTAL: $1071.80

LESSONS

Things I would do differently that come to mind are as follows:

Gate Construction

Looking back on it i would have likely welded a coule of extra timber braces into the gate. Currently the slats are fixed at the top and bottom and have the potential to warp over time. By adding the brace it should stop this happening. Maybe something ill do if i replace all the slatting over time.

Support posts

I would consider going with thicker 100x100 posts. While what is there is fine it would just be a bit more sturdy and support for the various screws and bolts better.

Concrete Footing

I would have spent more time on the form work of the footing to get it level and easier to screed. I know at the time it feels like you just want to get into it and move along but i think i would have spent less time and without a cup grinder if i spent more time on this

Not mix by hand! I know the footing looks relatively small but it does end up being time consuming. I think I spent the whole day on mixing and filling concrete. By the end of the day I was knackered and didnt feel like spending much time on the leveling. Looking back on it the leveling is where you want to spend most of the time to get it right. Look into getting a cement mixer, it makes it much easier. But if you're set on mixing by hand, get a mate around to help.

Paint

Instead of using spray paint i would have brush painted it as after a few years the paint is starting to fade.

Electronics

I've considered adding beam sensors and a manual switch at the gate for convinience. Not sure exactly how much power these things would consume so I may look at doing this at a later date. The motor supports these functions

DJ ND - Like a Rollercoaster [Mixtape]

Like Any Given Sunday - Street Level at King Street Hotel. You know what to do

01 - Michael Jackson - Rock with you
02 - Friendly Fires - Skeleton Boy
03 - Golden Features Feat Fear - No One
04 - Zhu - Faded
05 - Camelphat Elderbrook - Cola
06 - Eurythmics - Sweet Dreams
07 - Ellie Golding - Lights
08 - Prince - 1999
09 - Regurgitator - The Song Formally Known As
10 - Touch Sensitive - Lay Down
11 - John Newman - Love Me Again
12 - Robert Delong - Global Concepts
13 - Human League - Don't You Want Me Baby
14 - Elderbrook - Capricorn
15 - Seal - Crazy
16 - Martin Solveig & GTA - Intoxicated
17 - Journey - Don't Stop Believin'
18 - Loud Luxury Feat Brando - Body
19 - Spandau Ballet - True
20 - Bob Marley - I Can See Clearly Now
21 - Empire of the Sun - We are the People
22 - Mann - Buzzin
23 - Daryl Braithwaite - Horses

DJ ND - Dance First [Mixtape]

Mainstream mix with a few classics mixed in for some good times.

Download Link: here

01 - Lauren Hill -  Can't Take My Eyes Off You
02 - Tyga -  Rack City [Radio Mix]
03 - Big Boi ft. Cutty -  Shutterbugg
04 - L D R U Ft. Paige IV - Keeping Score
05 - Peking Duk Ft. Icona Pop - Let You Down
06 - Baker Boy - Mr La Di Da Di
07 - Daft Punk feat. Pharrell Williams -  Lose Yourself to Dance
08 - Whethan Feat Honne - Radar
09 - Robert Delong - Happy
10 - Beyonce vs  Jagged Edge -  Single Ladies Get's Married
11 - PNAU - In My Head
12 - Peking Duk Feat Nicole Millar - High
13 - Rihanna - Diamonds
14 - Kanye West - Flashing Lights
15 - Peking Duk - Fake Magic
16 - Eve - Tambourine
17 - Hanson - Mmmbop
18 - Daft Punk Feat Panda Bear - Doin' it Right
19 - Kendrick Lamar - King Kunta
20 - Prince - Kiss
21 - Client Liaison - Off White Limousine
22 - Dexys Midnight Runners – Come On Eileen23 - Queen - Under Pressure
24 - Frank Ocean - Lost
25 - Fisher - Stop It
26 - Zhu - The One
27 - The weeknd - Can't Feel my Face
28 - Fergie - Here I come
29 - Kendrick Lamar - I
30 - Outkast - I like the way you move
31 - Hayden James - Just Friends

DJ ND - The Vibe [Mixtape]

Another party mashup with all your favourite artists. Click here for the goods

Tracklist:

01 - Drake - Passionfruit
02 - Jason Derulo - Want to Want Me
03 - Calvin Harris - Colors
04 - RUFUS - Say a Prayer For Me
05 - Stevie Wonder - Superstition
06 - Claptone Feat Peter Bjorn - Puppet Theatre
07 - The Avener - Fade Out Lines
08 - Motez Feat Scrufizzer - The Vibe
09 - Michael Jackson - Bad
10 - RUFUS - Like an Animal
11 - PNAU - Go Bang
12 - Milky Chance - Stolen Dance
13 - Asta Feat All Day - Dynamite
14 - Krafty Skillz - It's a Booty
15 - INXS - Need You Tonight
16 - Bob Marley - Could you be Loved
17 - Disciples - They Don't Know
18 - Flume - Holdin On
19 - Yaeji - Rain Gurl
20 - Darude - Sandstorm
21 - Mat Zo & Porter Robinson - Easy
22 - Bag Raiders - Sunlight
23 - Hermitude - Hyperparadise
24 - Hermitude - The Buzz
25 - Drake - Hotline Bling